Recent results and open problems on the hydrodynamics of disordered asymmetric exclusion and zero-range processes

Details Recent results and open problems on the hydrodynamics of disordered asymmetric exclusion and zero-range processes Recent results and open problems on the hydrodynamics of disordered asymmetric exclusion and zero-range processes

1999-06-28

arxiv.org/abs/math/9906194v1

Resenhas IME-USP 4 (1999), 1-15

Mathematics

Probability

Proceedings of II Escola Brasileira de Probabilidade (Barra do Sahy, Sao Paulo, August 1998)

Scientific paper

This paper summarizes results and some open problems about the large-scale and long-time behavior of asymmetric, disordered exclusion and zero-range processes. These processes have randomly chosen jump rates at the sites of the underlying lattice. The interesting feature is that for suitably distributed random rates there is a phase transition where the process behaves differently at high and low densities. Some of this distinction is visible on the hydrodynamic scale.

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