Equilibrium Fluctuations for Totally Asymmetric Particle Systems
Patrícia Gonçalves
Broschiertes Buch

Equilibrium Fluctuations for Totally Asymmetric Particle Systems

exclusion and zero-range processes

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The one-dimensional totally asymmetric simple exclusion process and the totally asymmetric zero-range process are put into context, in order to derive its equilibrium fluctuations. We consider the processes evolving on the hyperbolic time scale and starting from the corresponding invariant states. For both processes taken on the hydrodynamic time scale, the temporal evolution of the limit density fluctuation field is deterministic, in the sense that the limit field at time t is a translation of the initial one. As a consequence of these results, it is possible to derive Central Limit Theorems ...