@math.infinitum: The Maxwell–Boltzmann distribution in two dimensions A classical molecular dynamics simulation of a two-dimensional gas. Initially, all particles have the same speed magnitude but random directions of motion. As perfectly elastic collisions occur, kinetic energy is redistributed, and the system gradually approaches thermodynamic equilibrium. The lower graph shows how the averaged empirical speed distribution converges to the theoretical Maxwell–Boltzmann distribution a fundamental result of statistical physics. #maxwell #boltzmann #distribution #statistical #thermodynamic

Math Infinitum
Math Infinitum
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Thursday 02 April 2026 12:03:20 GMT
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hhkowa
Drhenrik :
That’s not what people typically refer to when they talk about molecular dynamics simulations. Usually it’s either aiMD or semi empirical FFs
2026-04-03 09:45:48
22
dr.gerard.hobley
Chimeras :
A 2 dimensional gas?
2026-04-03 07:03:51
0
moredabs2
moredabs2 :
Either the speech or the graph is wrong. If they were initialized with the same speed they would all be in 1 bar on the histogram.
2026-04-03 19:27:49
6
tractatum2
tractatum2 :
does the maximum velocity of the Boltzmann distribution is linked to the initial velocity of the particles ?
2026-06-14 10:40:52
0
feddyd
Freddie Davies :
I can’t immediately see how you would prove this?
2026-04-03 13:10:46
0
arcane.markets
ARCANE :
Why does equilibrium look like that on the 2D graph instead of a standard bell curve
2026-06-22 04:55:53
0
nollemehr
mohller :
in elastic collisions the speeds do not change. how's the distribution changing?
2026-04-03 11:39:06
1
lifeiswaytooshort
lifeiswaytooshort :
There is a non zero probability that all the molecules will end up in the corner
2026-04-05 05:22:19
3
seeker224
Seeker224 :
Great content, thank you. I once build something similar a physical simulation gamed called algodoo, where i had a piston and pushing it in increased the speed of the particles, equivalent to increase in temp. Maybe that's an interesting addition to this.
2026-04-03 07:55:38
1
breitmaulnashorn
tik :
whats the utility of this? O mean whwre the hell you would find a 2d gas? Gas molecules evolve free in 3D
2026-04-03 00:12:52
3
von_lenard_philipp
von_lenard_philipp :
where is the time t in the equation?
2026-04-02 14:51:22
2
lesepa_la_motho
lesepa_la_motho :
at individual level everyone is special at the overall/together level all is the same
2026-04-04 17:50:04
0
starlord2044
Tym@r :
...There is no perfect elastic 😎
2026-04-03 13:48:17
0
carlos.hernndez3148
Carlos :
Se Parece a Lo Que Se Ve En Los Tv de (RCA) Cuando no tienen Señal
2026-07-19 08:55:41
0
dalonedwards0
Dalon :
❤️
2026-04-14 04:59:03
1
dyrsrhs4y03k
dyrsrhs4y03k :
🥰🥰🥰
2026-05-22 06:42:13
1
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