Relativistic diffusion

Details Relativistic diffusion Relativistic diffusion

2008-09-08

arxiv.org/abs/0809.1340v3

Phys.Rev.E79:021128,2009

Physics

High Energy Physics

High Energy Physics - Theory

9 pages,some numerical factors corrected

Scientific paper

10.1103/PhysRevE.79.021128

We discuss a relativistic diffusion in the proper time in an approach of Schay and Dudley. We derive (Langevin) stochastic differential equations in various coordinates.We show that in some coordinates the stochastic differential equations become linear. We obtain momentum probability distribution in an explicit form.We discuss a relativistic particle diffusing in an external electromagnetic field. We solve the Langevin equations in the case of parallel electric and magnetic fields. We derive a kinetic equation for the evolution of the probability distribution.We discuss drag terms leading to an equilibrium distribution.The relativistic analog of the Ornstein-Uhlenbeck process is not unique. We show that if the drag comes from a diffusion approximation to the master equation then its form is strongly restricted. The drag leading to the Tsallis equilibrium distribution satisfies this restriction whereas the one of the Juettner distribution does not. We show that any function of the relativistic energy can be the equilibrium distribution for a particle in a static electric field. A preliminary study of the time evolution with friction is presented. It is shown that the problem is equivalent to quantum mechanics of a particle moving on a hyperboloid with a potential determined by the drag. A relation to diffusions appearing in heavy ion collisions is briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Relativistic diffusion 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 Relativistic diffusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic diffusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-30798