Non-linear relativistic diffusions

Details Non-linear relativistic diffusions Non-linear relativistic diffusions

2010-10-21

arxiv.org/abs/1010.4581v2

Physica A390:2776-2786,2011

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, the version to appear in Physica A

Scientific paper

10.1016/j.physa.2011.03.025

We obtain a non-linear generalization of the relativistic diffusion of particles with spin. We discuss diffusion equations whose non-linearity is a consequence of quantum statistics. We show that the assumptions of the relativistic invariance and an interpretation of the solution as a probability distribution substantially restrict the class of admissible non-linear diffusion equations. We consider relativistic invariant as well as covariant frame dependent diffusion equations with a drift. In the latter case we show that there can exist stationary solutions of the diffusion equation besides the equilibrium solution corresponding to the quantum or Tsallis distributions. We define the relative entropy as a function of the diffusion probability and prove that it is monotonically decreasing in time when the diffusion tends to the equilibrium. We discuss its relation to the thermodynamic behavior of diffusing particles.

Affiliated with

Also associated with

No associations

Rating

Non-linear relativistic diffusions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-linear relativistic diffusions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-linear relativistic diffusions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-658867