Microscopic structure at the shock in the asymmetric simple exclusion

Abstract

We study for a semi-infinite one dimensional initial distribution the asymptotic behaviour in the hydrodynamical limit at the shock. In this case the location of the shock is naturally identified by the position of the leftmost particle of the system for which we prove a central limit theorem. From this we deduce that at the shock local equilibrium does not hold

Keywords:

• Infinite particle systems
• hydrodynamical limit
• tagged particle