Thursday, May 23, 2013

1305.5219 (Xuwen Chen et al.)

Approach to Equilibrium of a Body Colliding Specularly and Diffusely
with a Sea of Particles
   [PDF]

Xuwen Chen, Walter Strauss
We consider a rigid body acted upon by two forces, a constant force and the collective force of interaction with a continuum of particles. We assume that some of the particles that collide with the body reflect elastically (specularly), while others reflect probabilistically with some probablility distribution K. We find that the rate of approach of the body to equilibrium is O(t^{-3-p}) in three dimensions where p can take any value from 0 to 2, depending on K.
View original: http://arxiv.org/abs/1305.5219

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