August 20th, 2017, 08:54 PM  #1 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 336 Thanks: 26 Math Focus: Number theory  Cube with spheres bumping within
Take a cubic box of edge E, wherein two spheres of like diameter and mass bounce elastically. Will the box move randomly or not?

August 20th, 2017, 09:17 PM  #2 
Banned Camp Joined: Dec 2012 Posts: 1,028 Thanks: 24 
You miss several physical info: For example if you shake the box to move the balls, or you just launch them etc... The most simple case is if you have an open box, wide enough, and you just live vertically falling the two (separate) perfectly spherical (of mechanical known characteristic) balls from a fixed eight that is less than the height of the box, and they bump on a perfectly plane (rigid or not) bottom surface... etc... in this case is deterministic, else the problem can becomes non deterministic, for example if you shake the box, than you stop it looking the balls bumping.... 
August 20th, 2017, 09:32 PM  #3  
Senior Member Joined: May 2015 From: Arlington, VA Posts: 336 Thanks: 26 Math Focus: Number theory  Quote:
I was trying to minimise the parameters of the problem and preserve its basis.  
August 28th, 2017, 07:19 AM  #4  
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,099 Thanks: 703 Math Focus: Physics, mathematical modelling, numerical and computational solutions  Quote:
However, statistical dynamics of gases can become very important in some studies. For example, one of the ways of cooling gases down to very low temperatures (e.g. whilst studying BoseEinstein condensates and the like) is to take a small sample of verylow energy particles and let the ones with the greatest energy out of them all (i.e. those at the top end of the MaxwellBoltzmann distribution) leave. The net effect on the whole sample is a cooling effect that's somewhat similar to macroscopic evaporative cooling  

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