Learning Thermodynamics in Roblox

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#1

So some of you who have taken Physics know that gas flows from High Pressure to Low Pressure. Generally you can argue that a high-pressure gas simply has particles with more energy than the lower pressure gas. In fact you can simulate the entire system by having a box with a bunch of large balls bouncing around, and the box with the higher pressure in general can be assume to have (on average) higher velocities.

Well the cool thing is that you can do a similar thing in Roblox by creating two boxes with balls in them that are at different heights. The box with the balls at a larger height will be considered the higher pressure system (Due to the higher potential energy being converted into Kinetic energy by gravity). In physics, if you were to connect these boxes with a tube, the energy would leak over from the higher pressure system to the lower-pressure system until they equalize.

In the following demo, the green balls start lower than the red balls, making the right side be the high pressure system. As you watch the video you can see that more of the red balls start transferring over to the green side, equalizing the pressure. If you were to leave this system running for an infinite amount of time, in the end the average velocity in each side would be equal, simulating an equal pressure.

Level should be uncopylocked:

PS: This is only possible with the new Solver, because the new solver truly treats Elasticity = 1 objects as objects that conserve energy. If you were to try to do this on Roblox’s default solver, you would notice that energy leaks the system very quickly.

PPS: You’ll see some balls escaping the system, this is because of a limitation in the discreet collision detection. The balls are moving very quickly and essentially teleport around the object in one step. Although I’m looking closer at this to see if that is truly the case.

#2

Neither green nor red balls actually represent high energy because energy is transferred between balls all the time in the system. So I made one that changes its colors according to their kinetic energy(E=mvv).

Starting Condition:

240fabd9e0fd10b199c1adfe0cf6a18c.png1236×255 85.6 KB

After a couple of hours of running, this is what I got:

0b1f9f8b5d305c3bffbc6fadfc28f576.png1315×689 496 KB

It’s interesting how I got higher energy than the one I started with, maybe because it was due to Windows’s processing power allocation during black screen (while I was watching a film) increasing delta-t and causing more powerful collisions which result in more power?

#3

Yes! Even better.

Good point on neither the Red or Green balls really representing high energy vs low energy, as this is only true at T=0 (And at T=0, it’s only true if you’re measuring Potential Energy, not Kinetic). Your model of color changing is the more correct way to interpret the flow of pressure over time. My original naive representation is only slightly correct at the beginning. Any chance you’re willing to share your version of the level?

#4

[quote] Yes! Even better.

Good point on neither the Red or Green balls really representing high energy vs low energy, as this is only true at T=0 (And at T=0, it’s only true if you’re measuring Potential Energy, not Kinetic). Your model of color changing is the more correct way to interpret the flow of pressure over time. My original naive representation is only slightly correct at the beginning. Any chance you’re willing to share your version of the level? [/quote]

Thank you! Your example showed the flow of starter particles, kinda like a entropy example. I’m attaching the place to this post.

#5

I haven’t looked at your level yet, but all of your particles settling on Red is strange. I’m assuming you’re color specturm isn’t perfectly smooth, so maybe your “high-energy” threshold that you picked is actually the “average” energy of the system?

#6

To test that, I put all the balls into the same container while preserving their altitude. These are the results:

8520b804afccff34bc2e7f4ce23fef2a.png826×420 260 KB

05561f371356e0046d3b21bfb861ab6c.png721×547 390 KB

The average is yellow.

#7

[quote] Neither green nor red balls actually represent high energy because energy is transferred between balls all the time in the system. So I made one that changes its colors according to their kinetic energy(E=mvv).
[/quote]

Someone give this guy an internship. lol.
[size=1]I might just be a noob for not understanding what you’re talking about, but damn.[/size]

#8

Now turn off gravity and see what happens from a random initial state so you don’t have a whole “potential energy” mess to deal with.

#9

Finally, I can [strike]confuse[/strike] teach kids with science in a fun and educational way :swag:

#10

“turn off gravity”? You mean using body objects for 4 thousand constantly moving parts? I wouldn’t recommend.

#11

OseDay, I think you’re right about your Color Scheme.

I did a sum of the Potential and Kinetic energies (collisions happen at Y = 5):

local AllBalls = workspace.AllBalls
local LG = BrickColor.new("Lime green")
local BG = BrickColor.new("Bright green")
local C = BrickColor.new("Camo")
local O = BrickColor.new("Olive")
local NO = BrickColor.new("Neon orange")
local MR = BrickColor.new("Medium red")
local BR = BrickColor.new("Bright red")
local totalEnergy = 0

function getTotalEnergy(part)
	local KE = (part.Velocity.magnitude^2)*(part.Size.X^3)/70000
	local PE = ((part.Position.Y - 5) * 196.2) *(part.Size.X^3)/70000
	return KE + PE
end

for i,v in pairs(AllBalls:GetChildren())do
	totalEnergy = totalEnergy + getTotalEnergy(v)
end

print("Average Energy: " .. tostring(totalEnergy/#AllBalls:GetChildren()))

The answer comes back at 75.2, which falls in your “Yellow” category. Interesting. The difference in Delta shouldn’t affect Roblox simulation. If anything, we should see slower simulation or faster simulation, but it shouldn’t affect energy being introduced. I’m going to want to run this experiment myself.

#12

I’ve been running the same exact simulation from my previous post about putting all the particles in the same container. Here’s a comparison from now and then:

Then:

8520b804afccff34bc2e7f4ce23fef2a.png826×420 260 KB

Now:

8eee0322a6a1fd58dfae6d17a229e03d.png1243×570 483 KB

Latest:

358f2295d7902b33b1893bf4e3ee72d3.png1020×382 458 KB

We can clearly see a increase in the number of red particles… I calculated the average energy with your script and it came out as 220.9.

#13

Did you calculate the average energy BEFORE it go to this state? (The red state)

I’m actually getting some weird results with an updated version of my script where at the beginning the Average Energy fluctuates, but then settles on a semi-consistent value.

local AllBalls = workspace.AllBalls
local LG = BrickColor.new("Lime green")
local BG = BrickColor.new("Bright green")
local C = BrickColor.new("Camo")
local O = BrickColor.new("Olive")
local NO = BrickColor.new("Neon orange")
local MR = BrickColor.new("Medium red")
local BR = BrickColor.new("Bright red")
local totalEnergy = 0

function getTotalEnergy(part)
	local KE = (part.Velocity.magnitude^2)*(part.Size.X^3)/70000
	local PE = ((part.Position.Y - 5) * 196.2) *(part.Size.X^3)/70000
	return KE + PE
end

for i,v in pairs(AllBalls:GetChildren())do
	totalEnergy = totalEnergy + getTotalEnergy(v)
end

print("Average Energy: " .. tostring(totalEnergy/#AllBalls:GetChildren()))
counter=1
while wait(0)do
for i,v in pairs(AllBalls:GetChildren())do
	if i%200==0 then wait(0)end
	local s = (v.Velocity.magnitude^2)*(v.Size.X^3)/70000
	if s<8 then
		v.BrickColor = LG
	elseif s<16 then
		v.BrickColor = BG
	elseif s<25 then
		v.BrickColor = C
	elseif s<45 then
		v.BrickColor = C
	elseif s<85 then
		v.BrickColor = O
	elseif s<100 then
		v.BrickColor = NO
	elseif s<130 then
		v.BrickColor = MR
	elseif s>180 then
		v.BrickColor = BR
	end
	counter = counter + 1
	
totalEnergy = 0
if counter%200==0 then
	counter = 0
	for i,v in pairs(AllBalls:GetChildren())do
		totalEnergy = totalEnergy + getTotalEnergy(v)
	end
	
	print("Average Energy: " .. tostring(totalEnergy/#AllBalls:GetChildren()))
end
end
end

If you copy and paste that into Script, on my screen after a while the entire system sits at an Average Energy of 111.

Anyway, with this version of the script you can see the total energy fluctuate, but the average energy change at the beginning is a little weird. Gonna want to take a look.

EDIT:
Note, it is totally possible for a physics solver to add energy into a complicated system due to not being able to find an “exact” solution to the physics problem.

For example:
The iterative solver tries to break a complicated problem into a set of iterative simpler problems. The idea is that each problem should get it closer to the “True” physics answer. Sometimes, when the equation is complicated enough (IE: A TON of collisions at once) the solver may cut it off after 20 attempts to get the exact answer. This can either add or bleed energy depending on the problem. So it’s totally possible that after hours of running there was a small energy bleed due to this nature.

That being said, I want to investigate this more precisely.

#14

I recorded the average energy every second with your previous script and with the same simulation I’ve been running.

Results:

Average Energy: 237.97771116119 Average Energy: 238.05113804834 Average Energy: 238.72096517047 Average Energy: 238.95567063651 Average Energy: 239.09191633414 Average Energy: 238.39746368277 Average Energy: 238.19059462597 Average Energy: 238.45887585075 Average Energy: 238.37366547071 Average Energy: 238.28583354207 Average Energy: 238.96588939248 Average Energy: 239.36476646684 Average Energy: 240.0401846932 Average Energy: 240.10281395091 Average Energy: 239.15352026088 Average Energy: 239.0133294975 Average Energy: 239.33329490488 Average Energy: 240.0812189072 Average Energy: 240.95180643882 Average Energy: 240.56009559047 Average Energy: 239.50761997408 Average Energy: 239.98679174139 Average Energy: 239.76261924434 Average Energy: 239.77308484652 Average Energy: 240.04889494034 Average Energy: 240.06495788629 Average Energy: 240.29987598432 Average Energy: 240.78349756411 Average Energy: 240.52388684518 Average Energy: 240.56979886477 Average Energy: 240.8815415475 Average Energy: 240.91593361808 Average Energy: 240.5906426846 Average Energy: 241.86665001838 Average Energy: 242.48348100083 Average Energy: 241.59474750107 Average Energy: 240.70229382592 Average Energy: 241.44634890029 Average Energy: 243.22996264725 Average Energy: 242.03263703281 Average Energy: 241.09676299974 Average Energy: 242.47795315825 Average Energy: 242.49205709427 Average Energy: 242.86904402952 Average Energy: 242.94923415613 Average Energy: 243.33100370853 Average Energy: 243.43648963402 Average Energy: 243.10083774677 Average Energy: 242.76951538598 Average Energy: 242.68177808551 Average Energy: 243.12019833155 Average Energy: 243.03302737467 Average Energy: 242.77829470687 Average Energy: 243.06939934502 Average Energy: 243.4630790824 Average Energy: 244.20509603025 Average Energy: 245.05245832598 Average Energy: 244.76327221894 Average Energy: 244.48530502743 Average Energy: 244.11191243395 Average Energy: 244.87251254111 Average Energy: 245.01769469015 Average Energy: 245.20989331476 Average Energy: 244.92334886669 Average Energy: 244.98086417237 Average Energy: 244.77502608625 Average Energy: 244.46792115726 Average Energy: 245.44556427831 Average Energy: 245.20033406941 Average Energy: 245.43587457071 Average Energy: 247.06795888206 Average Energy: 247.58163485176 Average Energy: 245.60885863087 Average Energy: 245.52802630221 Average Energy: 245.93415311255 Average Energy: 246.63697170453 Average Energy: 246.45513591664 Average Energy: 247.01201616861 Average Energy: 247.72214604572 Average Energy: 247.6549283728 Average Energy: 246.4304944097 Average Energy: 246.00982408407 Average Energy: 246.67212526798 Average Energy: 247.57055981934 Average Energy: 247.17079271616 Average Energy: 247.31445699803 Average Energy: 248.23280602128 Average Energy: 247.98256164482 Average Energy: 247.46100737133 Average Energy: 247.75662285951 Average Energy: 248.11591814333 Average Energy: 247.59203943464 Average Energy: 247.53085968493 Average Energy: 248.28606771268 Average Energy: 248.78529321733 Average Energy: 248.61449505133 Average Energy: 247.98504771741 Average Energy: 248.24281830153 Average Energy: 248.67913806326 Average Energy: 249.47679663899 Average Energy: 249.13624743467 Average Energy: 249.20465253141 Average Energy: 249.72192779998 Average Energy: 249.59358736453 Average Energy: 248.80902374448 Average Energy: 249.02382659139 Average Energy: 249.89324975478 Average Energy: 249.67613087574 Average Energy: 249.57020165091 Average Energy: 250.59535532761 Average Energy: 250.53756161427 Average Energy: 250.89285603049 Average Energy: 251.02728631482 Average Energy: 250.90901852302 Average Energy: 250.9258118453 Average Energy: 250.00507215749 Average Energy: 249.25671810301 Average Energy: 251.43259041039 Average Energy: 252.39872802694 Average Energy: 252.45954582152 Average Energy: 251.03525174723 Average Energy: 250.22196017624 Average Energy: 250.18685065204 Average Energy: 251.51354044158 Average Energy: 252.10527783834 Average Energy: 252.26986392948 Average Energy: 251.37693844006 Average Energy: 251.05242895154 Average Energy: 251.96126131356 Average Energy: 252.95857203579 Average Energy: 252.47442537604 Average Energy: 252.60290182253 Average Energy: 252.59598854236 Average Energy: 252.407512425 Average Energy: 252.29397472994 Average Energy: 252.74404843348 Average Energy: 252.52155474569 Average Energy: 253.05565968776 Average Energy: 252.86602331437 Average Energy: 252.99661140731 Average Energy: 253.95992313093 Average Energy: 253.5539943673 Average Energy: 252.74632978391 Average Energy: 253.19304327192 Average Energy: 254.35929547006 Average Energy: 254.15255377743 Average Energy: 254.31569412961 Average Energy: 254.46412034397 Average Energy: 253.69429763386 Average Energy: 253.53324508028 Average Energy: 254.17209656609 Average Energy: 254.46361621677 Average Energy: 255.03374009517 Average Energy: 255.61719766531 Average Energy: 255.59962326605 Average Energy: 255.39501164083 Average Energy: 254.66452676338 Average Energy: 254.288415753 Average Energy: 254.33914013812 Average Energy: 255.5454507648 Average Energy: 255.31414490694 Average Energy: 255.51456793912 Average Energy: 255.71269457075 Average Energy: 255.49905447392 Average Energy: 256.10684869339 Average Energy: 256.47152736142 Average Energy: 255.17339716724 Average Energy: 255.47742671233 Average Energy: 255.63030918549 Average Energy: 256.01286776751 Average Energy: 256.67965929086 Average Energy: 257.01517093096 Average Energy: 256.8734404103 Average Energy: 256.79061011879 Average Energy: 257.17502590989 Average Energy: 258.28074304529 Average Energy: 257.74724845144 Average Energy: 256.92228494774 Average Energy: 257.95591904934 Average Energy: 257.64973420452 Average Energy: 257.10325745268 Average Energy: 257.25191731727 Average Energy: 258.34371017955 Average Energy: 258.380533748 Average Energy: 258.36883093907 Average Energy: 258.62404822129 Average Energy: 258.58985774516 Average Energy: 257.90734728516 Average Energy: 258.8233057726 Average Energy: 259.74888228379 Average Energy: 260.16252763925 Average Energy: 259.90399833067 Average Energy: 258.98767536022 Average Energy: 257.87410036112 Average Energy: 257.86324598268 Average Energy: 260.52629598116 Average Energy: 260.66028602965 Average Energy: 258.7881361355 Average Energy: 258.06122051406 Average Energy: 259.95206081071 Average Energy: 261.55829662883 Average Energy: 261.68938975501 Average Energy: 261.67048662874 Average Energy: 261.03878795288 Average Energy: 259.85570057039 Average Energy: 259.64625120988 Average Energy: 261.06500592423 Average Energy: 262.71982126727 Average Energy: 261.44340914161 Average Energy: 260.08064224246 Average Energy: 260.65659501753 Average Energy: 261.18181467903 Average Energy: 262.16403719243 Average Energy: 262.2406268363 Average Energy: 261.82337669965 Average Energy: 261.02057487959 Average Energy: 261.92754075184 Average Energy: 262.19846779012 Average Energy: 261.87947038319 Average Energy: 261.99902535899 Average Energy: 264.01147074692 Average Energy: 263.33191175657 Average Energy: 262.22950650224 Average Energy: 262.68240693752 Average Energy: 263.14074673598 Average Energy: 264.07025582024 Average Energy: 263.74413880571 Average Energy: 262.37501212837 Average Energy: 261.03533365801 Average Energy: 262.56110894756 Average Energy: 264.37483751808 Average Energy: 263.78926714417 Average Energy: 262.98328247121 Average Energy: 263.42824207299 Average Energy: 262.49989531529 Average Energy: 263.51257768339 Average Energy: 263.72355394945 Average Energy: 264.42173224387 Average Energy: 265.25271558872 Average Energy: 263.77303957174 Average Energy: 262.28731465918 Average Energy: 264.23813107688 Average Energy: 265.14957331818 Average Energy: 265.20824690289 Average Energy: 264.91332058548 Average Energy: 265.47526532586 Average Energy: 265.79694758964 Average Energy: 266.07706447509 Average Energy: 266.67889732927 Average Energy: 265.57342098175 Average Energy: 264.80002494074 Average Energy: 266.50005130724 Average Energy: 267.2284952203 Average Energy: 267.1013987805 Average Energy: 266.6332347456 Average Energy: 267.01884778868 Average Energy: 267.2605765069 Average Energy: 266.3116046452 Average Energy: 266.78185413239 Average Energy: 267.43982586686 Average Energy: 267.0922359698 Average Energy: 266.63629031576 Average Energy: 266.38218173729 Average Energy: 266.32324368447 Average Energy: 268.66862659412 Average Energy: 268.23490938938 Average Energy: 268.02471821145 Average Energy: 268.0656831923 Average Energy: 268.29032416482 Average Energy: 267.65091419828 Average Energy: 267.70032006615 Average Energy: 268.86619019918 Average Energy: 268.60986465179 Average Energy: 268.01634806761 Average Energy: 267.39363453417 Average Energy: 268.28763993321 Average Energy: 269.65254954853 Average Energy: 269.86938398298 Average Energy: 269.95086656665 Average Energy: 269.2779302916 Average Energy: 269.32093784863 Average Energy: 269.36441538436 Average Energy: 270.40398661315 Average Energy: 271.15554647064 Average Energy: 269.97284241501 Average Energy: 269.10666182356 Average Energy: 270.46207501229 Average Energy: 271.10235715739 Average Energy: 270.27742517167 Average Energy: 270.37740786399 Average Energy: 270.20970990627 Average Energy: 270.00145022631 Average Energy: 270.87650851891 Average Energy: 270.08457040112 Average Energy: 269.5461658281 Average Energy: 270.9545178569 Average Energy: 270.80873447651 Average Energy: 271.69578221518 Average Energy: 272.45241247037 Average Energy: 272.5152010895 Average Energy: 272.39481562919 Average Energy: 273.16751895488 Average Energy: 273.80344002826 Average Energy: 272.55779810061 Average Energy: 272.45163640211 Average Energy: 271.52534596769 Average Energy: 272.56681982299 Average Energy: 272.5044555123 Average Energy: 272.92433133081 Average Energy: 274.66593597276 Average Energy: 273.40910802324 Average Energy: 273.3766078587 Average Energy: 273.07223482053 Average Energy: 273.1462389199 Average Energy: 272.95626843885 Average Energy: 274.55161398106 Average Energy: 274.88580302799 Average Energy: 273.58399194495 Average Energy: 272.66857925409 Average Energy: 274.12475220186 Average Energy: 274.88370692088 Average Energy: 274.68027827436 Average Energy: 275.14332753523 Average Energy: 275.97947840998 Average Energy: 274.79772324937 Average Energy: 274.74268794267 Average Energy: 274.40895236618 Average Energy: 274.37933247963 Average Energy: 274.70657522959 Average Energy: 275.13854059036 Average Energy: 275.98557532889 Average Energy: 276.63167872773 Average Energy: 276.06842750377 Average Energy: 275.10636071489 Average Energy: 275.80073197349 Average Energy: 276.13151208895 Average Energy: 275.87695585148 Average Energy: 276.05700836481 Average Energy: 276.54045596128 Average Energy: 277.27850172102 Average Energy: 277.89828965075 Average Energy: 277.56439140372 Average Energy: 276.37335993135 Average Energy: 276.70497559482 Average Energy: 278.89165281345 Average Energy: 278.83189525059 Average Energy: 277.89198144229 Average Energy: 278.45472084163 Average Energy: 277.57209125424 Average Energy: 277.82260398649 Average Energy: 278.49884531422 Average Energy: 278.27393181542 Average Energy: 277.67976301588 Average Energy: 277.94617207533 Average Energy: 278.68294291914 Average Energy: 280.11595840475 Average Energy: 279.72230934614 Average Energy: 279.41820460578 Average Energy: 280.17808582615 Average Energy: 279.964052702 Average Energy: 279.22624289832 Average Energy: 279.03484270567 Average Energy: 278.50870364031 Average Energy: 279.06397957918 Average Energy: 280.7594025368 Average Energy: 280.64975301251 Average Energy: 279.45681121747 Average Energy: 279.69359549817 Average Energy: 281.1747847992 Average Energy: 280.63172475683 Average Energy: 279.30608897336 Average Energy: 278.97257012573 Average Energy: 279.35771321281 Average Energy: 280.10749494109 Average Energy: 280.86734968253 Average Energy: 281.88863653364 Average Energy: 282.2098645699 Average Energy: 280.79012749955 Average Energy: 280.47531498046 Average Energy: 282.42908723027 Average Energy: 284.07288869357 Average Energy: 284.18895066657 Average Energy: 282.9101951397 Average Energy: 281.3986827598 Average Energy: 281.32513871433 Average Energy: 281.11752073202 Average Energy: 281.96022155268 Average Energy: 282.60218719672 Average Energy: 282.13864194081 Average Energy: 281.78881552281 Average Energy: 282.69287132278 Average Energy: 283.80954570083 Average Energy: 284.29634799644 Average Energy: 284.41684896081 Average Energy: 283.70608250011 Average Energy: 282.82596911509 Average Energy: 284.04682261083 Average Energy: 283.07564930198 Average Energy: 282.7996906211 Average Energy: 284.6566150901 Average Energy: 285.35637251687 Average Energy: 284.61798119952 Average Energy: 283.65157027612 Average Energy: 283.78737924837 Average Energy: 283.30177296619 Average Energy: 283.2425879512 Average Energy: 284.39878209177 Average Energy: 284.042239387 Average Energy: 284.30615744157 Average Energy: 284.23058899607 Average Energy: 284.50182981965 Average Energy: 285.85548605941 Average Energy: 285.12847836684 Average Energy: 285.34621857837 Average Energy: 285.75313141182 Average Energy: 285.57568171841 Average Energy: 286.33591793833 Average Energy: 286.51401688979 Average Energy: 286.61113205971 Average Energy: 286.08004858368 Average Energy: 286.12199933521 Average Energy: 286.1809513431 Average Energy: 286.55387555448 Average Energy: 288.01407683148 Average Energy: 287.71372408876 Average Energy: 287.40731609572 Average Energy: 287.24916931415 Average Energy: 286.19367072622 Average Energy: 287.52981480884 Average Energy: 288.23278474466 Average Energy: 288.31496272642 Average Energy: 288.27110146302 Average Energy: 287.96658475793 Average Energy: 288.37335675673 Average Energy: 289.02142410273 Average Energy: 288.82002020163 Average Energy: 287.32436213983 Average Energy: 288.12175691899 Average Energy: 288.45359210228 Average Energy: 289.85779063158 Average Energy: 289.24625943718 Average Energy: 288.50068697143 Average Energy: 289.43253938284 Average Energy: 290.70263024366 Average Energy: 289.7683533009 Average Energy: 288.58160466464 Average Energy: 289.17965392431 Average Energy: 290.06365574366 Average Energy: 290.25656109209 Average Energy: 290.20838702092 Average Energy: 289.67765907482 Average Energy: 289.81358815104 Average Energy: 290.02409624113 Average Energy: 291.07549648335 Average Energy: 291.32245813886 Average Energy: 291.28141952641 Average Energy: 291.05425232963 Average Energy: 290.80058345133 Average Energy: 290.51534108443 Average Energy: 291.37062590862 Average Energy: 290.33929946266 Average Energy: 290.5943000469 Average Energy: 292.63289231228 Average Energy: 292.8064423761 Average Energy: 292.09955317623 Average Energy: 291.81522976545 Average Energy: 291.92323181599 Average Energy: 291.71321571433 Average Energy: 292.22132790401 Average Energy: 293.03063973784 Average Energy: 293.72461077175 Average Energy: 294.62761520441 Average Energy: 293.95335330967 Average Energy: 292.01782576383 Average Energy: 292.42079740615 Average Energy: 293.1243718196 Average Energy: 294.0827627823 Average Energy: 293.2709078252 Average Energy: 294.01070536768 Average Energy: 294.35097207374 Average Energy: 294.35570238147 Average Energy: 294.75194678958 Average Energy: 295.46081099649 Average Energy: 294.41220777066 Average Energy: 294.49319511762 Average Energy: 294.49599730508 Average Energy: 294.65552082848 Average Energy: 293.9136144354 Average Energy: 294.0375638792 Average Energy: 295.41656584101 Average Energy: 296.3750487177 Average Energy: 295.85847230066 Average Energy: 295.54983997381 Average Energy: 294.61792358756 Average Energy: 294.47786174417 Average Energy: 295.46287939807 Average Energy: 294.99427950482 Average Energy: 295.81819069047 Average Energy: 296.23863670815 Average Energy: 296.3187085965 Average Energy: 297.99435413283 Average Energy: 299.41341737707 Average Energy: 299.82030273575 Average Energy: 299.88490713109 Average Energy: 299.15619436382 Average Energy: 299.85257601542 Average Energy: 300.90439537453 Average Energy: 300.99518752672 Average Energy: 299.51021832673 Average Energy: 297.76904253463 Average Energy: 298.57617905122 Average Energy: 300.35593061682 Average Energy: 299.16072693458 Average Energy: 298.88656003866 Average Energy: 299.29235763893 Average Energy: 301.24396612183 Average Energy: 301.72990576054 Average Energy: 301.38275493964 Average Energy: 301.10831406215 Average Energy: 301.56261934084 Average Energy: 301.34040349061 Average Energy: 299.12027658509 Average Energy: 300.0336163587 Average Energy: 300.95555104664 Average Energy: 302.39352667386 Average Energy: 302.69541474919 Average Energy: 301.38695499384 Average Energy: 300.55378250789 Average Energy: 300.54671190178 Average Energy: 301.61290498814 Average Energy: 302.36277348315 Average Energy: 302.80437943663 Average Energy: 302.72950525679 Average Energy: 302.14657826728 Average Energy: 301.93919821771 Average Energy: 302.24069978906 Average Energy: 302.9258628118 Average Energy: 303.71211993876 Average Energy: 303.96499404496 Average Energy: 303.68095758384 Average Energy: 302.52864483386 Average Energy: 303.15143811098 Average Energy: 304.01409211522 Average Energy: 303.8424394592 Average Energy: 304.03195640454 Average Energy: 303.31269895251 Average Energy: 303.02219050452 Average Energy: 304.01385806467 Average Energy: 304.43430319185 Average Energy: 304.24638397674 Average Energy: 304.44668528804 Average Energy: 304.79006353852 Average Energy: 304.02704894701 Average Energy: 303.74146113387 Average Energy: 305.55630448317 Average Energy: 306.90930007997 Average Energy: 306.31998824117 Average Energy: 304.99793142142 Average Energy: 304.89351701982 Average Energy: 304.76738335233 Average Energy: 306.41758476339 Average Energy: 306.31221910802 Average Energy: 306.0817957378 Average Energy: 305.73331042522 Average Energy: 306.73109144432 Average Energy: 305.6791889251 Average Energy: 305.81124677356 Average Energy: 307.38726077488 Average Energy: 308.30809640629 Average Energy: 307.95448269931 Average Energy: 306.36196591418 Average Energy: 306.67975355166 Average Energy: 306.86279079836 Average Energy: 306.90525062913 Average Energy: 307.31150051878 Average Energy: 308.00714789288 Average Energy: 308.1084075816 Average Energy: 307.7512597772 Average Energy: 308.19541304945 Average Energy: 308.75209760732 Average Energy: 308.26945288301 Average Energy: 308.08507420477 Average Energy: 308.25131839238 Average Energy: 309.98619642949 Average Energy: 309.08938682962 Average Energy: 308.65057836483 Average Energy: 309.36332873537 Average Energy: 308.69011160017 Average Energy: 307.80447144635 Average Energy: 307.72162442092 Average Energy: 309.07621495744 Average Energy: 309.64716340599 Average Energy: 309.40968588246 Average Energy: 309.90664733376 Average Energy: 309.98800687231 Average Energy: 310.46598969224 Average Energy: 311.07454483466 Average Energy: 310.55501039654 Average Energy: 308.35921272686 Average Energy: 308.96650065772 Average Energy: 310.29538206265 Average Energy: 310.4886974782 Average Energy: 310.58561464273 Average Energy: 310.86464679591 Average Energy: 310.02889197982 Average Energy: 310.6695811672 Average Energy: 312.12910094495 Average Energy: 311.92568014219 Average Energy: 311.5099180726 Average Energy: 312.32496591832 Average Energy: 311.83020216626 Average Energy: 311.33510491484 Average Energy: 310.91851052389 Average Energy: 312.184866063 Average Energy: 313.70093902815 Average Energy: 312.68129824053 Average Energy: 310.99629110546 Average Energy: 312.27302652323 Average Energy: 313.59172257011 Average Energy: 313.71818375886 Average Energy: 312.25307572811 Average Energy: 312.61173892669 Average Energy: 314.6292035289 Average Energy: 314.15476567606 Average Energy: 312.54281627458 Average Energy: 312.39310304615 Average Energy: 313.16592689393 Average Energy: 315.24045269447 Average Energy: 315.04317903026 Average Energy: 314.68276483976 Average Energy: 315.06868601451 Average Energy: 314.39846489473 Average Energy: 314.64981246769 Average Energy: 315.47551301987 Average Energy: 315.38138455952 Average Energy: 315.59154327236 Average Energy: 315.39629625946 Average Energy: 315.31794295584 Average Energy: 315.20848029339 Average Energy: 315.0085896561 Average Energy: 315.06384195248 Average Energy: 314.6700077603 Average Energy: 314.84301121424 Average Energy: 315.1478034499 Average Energy: 315.56255037189 Average Energy: 316.43524643535 Average Energy: 316.5532233158 Average Energy: 315.58899497682 Average Energy: 315.48361083884 Average Energy: 315.42272316725 Average Energy: 316.1692258662 Average Energy: 317.15561328094 Average Energy: 317.97728539519 Average Energy: 317.98374155457 Average Energy: 317.0978222101 Average Energy: 317.09596428089 Average Energy: 317.48814306415 Average Energy: 317.97824619636 Average Energy: 317.39467419033 Average Energy: 317.43092522465 Average Energy: 316.60742239459 Average Energy: 316.56045835692 Average Energy: 317.51807988416 Average Energy: 318.21784964153 Average Energy: 318.2616994021 Average Energy: 318.0485072058 Average Energy: 317.71819256663 Average Energy: 317.33132401869 Average Energy: 318.43400129713 Average Energy: 318.8296567699 Average Energy: 318.65661766938 Average Energy: 317.92413250524 Average Energy: 317.6277170682 Average Energy: 317.88378646024 Average Energy: 318.26629497066 Average Energy: 319.18097462749 Average Energy: 320.78696308012 Average Energy: 320.26894886106 Average Energy: 318.66481468278 Average Energy: 318.12280033332 Average Energy: 319.36200265934 Average Energy: 319.90308009972 Average Energy: 319.47930014184 Average Energy: 319.62805133919 Average Energy: 320.01903825454

I’m going to try that with a new simulation now.

#15

Woah, wait. You were getting THAT MUCH increase every second? Something’s not right.

You’re telling me that on average you got an extra .6 - .8 unit of energy PER EACH BALL per second? Holy crap, that makes no sense. On my machine it looks like a very very very slow increase.

#16

No, the increase is 0.119245392739678 to be exact.

#17

Well it seems like you forgot to divide kinetic energy by two in the energy calculation? :swag:

#18

That wouldn’t change anything… It doesn’t explain why there is a increase.

#19

Oh man. Embarassing rookie mistake… I HAVE A DEGREE, I PROMISE #NotAShill

Fixed function.

function getTotalEnergy(part)
	local KE = ((part.Velocity.magnitude^2)*(part.Size.X^3)/70000)/2
	local PE = ((part.Position.Y - 5) * 196.2) *(part.Size.X^3)/70000
	return KE + PE
end

Okay this actually makes sense.

So the average starting energy of the system is 75. Oseday, your “Color” logic basically uses TWICE the Kinetic Energy to set your system.

So lets say we run the system until it reaches steady state. I can make the assumption that the energy will be evenly distributed throughout the system and every ball has the AVERAGE energy.

Well since the average energy is 75, that means you are using 150 for your color scheme, which I believe is red.

Try your test with this code. I am no longer getting much energy fluctuation (well I am getting a bit, but not as much). I think the energy fluctuation can be happening because more energy is converting from Potential to Kinetic. And because we were incorrectly representing the kinetic, it was weighed more heavy, which would give us a perception of increase!!

local AllBalls = workspace.AllBalls
local LG = BrickColor.new("Lime green")
local BG = BrickColor.new("Bright green")
local C = BrickColor.new("Camo")
local O = BrickColor.new("Olive")
local NO = BrickColor.new("Neon orange")
local MR = BrickColor.new("Medium red")
local BR = BrickColor.new("Bright red")
local totalEnergy = 0

wait(5)

function getTotalEnergy(part)
	local KE = ((part.Velocity.magnitude^2)*(part.Size.X^3)/70000)/2
	local PE = ((part.Position.Y - 5) * 196.2) *(part.Size.X^3)/70000
	return KE + PE
end

for i,v in pairs(AllBalls:GetChildren())do
	totalEnergy = totalEnergy + getTotalEnergy(v)
end

print("Average Energy: " .. tostring(totalEnergy/#AllBalls:GetChildren()))
counter=1
while wait(0)do
for i,v in pairs(AllBalls:GetChildren())do
	if i%200==0 then wait(0)end
	local s = (v.Velocity.magnitude^2)*(v.Size.X^3)/70000
	if s<8 then
		v.BrickColor = LG
	elseif s<16 then
		v.BrickColor = BG
	elseif s<25 then
		v.BrickColor = C
	elseif s<45 then
		v.BrickColor = C
	elseif s<85 then
		v.BrickColor = O
	elseif s<100 then
		v.BrickColor = NO
	elseif s<130 then
		v.BrickColor = MR
	elseif s>180 then
		v.BrickColor = BR
	end
	counter = counter + 1
	
totalEnergy = 0
if counter%200==0 then
	counter = 0
	for i,v in pairs(AllBalls:GetChildren())do
		totalEnergy = totalEnergy + getTotalEnergy(v)
	end
	
	print("Average Energy: " .. tostring(totalEnergy/#AllBalls:GetChildren()))
end
end
end
#20

I’m completely sure that there is a increase in total energy.

ca8641a8cd4993ca9a3eb691b4f0a346.png1638×406 34.4 KB

We can clearly see the increase. It seems to be around 0.003387x for every step.