Stationary measures and hydrodynamics of zero range processes with several species of particles

Details Stationary measures and hydrodynamics of zero range processes with several species of particles Stationary measures and hydrodynamics of zero range processes with several species of particles

2003-05-14

arxiv.org/abs/cond-mat/0305306v1

Bull. Braz. Math. Soc. 34(3), 489-507 (2003)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We study general zero range processes with different types of particles on a d-dimensional lattice with periodic boundary conditions. A necessary and sufficient condition on the jump rates for the existence of stationary product measures is established. For translation invariant jump rates we prove the hydrodynamic limit on the Euler scale using Yau's relative entropy method. The limit equation is a system of conservation laws, which are hyperbolic and have a globally convex entropy. We analyze this system in terms of entropy variables. In addition we obtain stationary density profiles for open boundaries.

Affiliated with

Also associated with

No associations

Rating

Stationary measures and hydrodynamics of zero range processes with several species of particles 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 Stationary measures and hydrodynamics of zero range processes with several species of particles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stationary measures and hydrodynamics of zero range processes with several species of particles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-80668