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The tridimensional brownian motion of 1815 light and small particles [Le mouvement brownien tridimensionnel de 1815 particules légères et petites].




Inside a parallelepipedic tridimensional domain there are 1815 particles. 1738 of them are light (ML=1) and small (RL=0.5) with random initial velocities -the color of each particle depends on its initial coordinates {X0,Y0,Z0}- and 77 are heavier (MH=4, MH=16 and MH=64) and bigger (RH=1.0, RH=1.5 and RH=2.0) with null initial velocities -white-. Over time, the particles collide and the impacts are perfectly elastic, meaning that momentum is conserved. The trajectory of each particle is a brownian motion when its velocity is a decreasing function of its mass. These simulations have a duration of 512 time steps.

The tridimensional brownian motion of 1738 light and small particles + 77 heavier and bigger ones
1738 light particles (ML=1,RL=0.5) + 77 heavier and bigger particles (MH=16,RH=1.5).		The tridimensional brownian motion of 1738 light and small particles + 77 heavier and bigger ones
1738 light particles (ML=1,RL=0.5) + 77 heavier and bigger particles (MH=64,RH=2.0).
The tridimensional brownian motion of 1815 light and small particles
1815 light particles (ML=MH=1,RH=0.5).		The tridimensional brownian motion of 1738 light and small particles + 77 heavier and bigger ones
1738 light particles (ML=1,RL=0.5) + 77 heavier and bigger particles (MH=4,RH=1.0).



Please note that a few white particles don't move: that means that they don't undergo any collisions during the 512 time steps. This is understandable for it is a tridimensional simulation and then the collisions are rarest than in a bidimensional one.


See some related pictures:

The bidimensional brownian motion of 891 particles The tridimensional brownian motion of 1815 particles


[Plus d'informations à propos du mouvement brownien -en français/in french-]
[More information about brownian motion -in english/en anglais-]


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