Abstract:Abstract. In these notes we consider two particle systems: the totally asymmetric simple exclusion process and the totally asymmetric zero-range process. We introduce the notion of hydrodynamic limit and describe the partial differential equation that governs the evolution of the conserverd quantity -the density of particles ρ(t, ·). This equation is a hyperbolic conservation law of type ∂tρ(t, u) + ∇F (ρ(t, u)) = 0, where the flux F is a concave function. Taking these systems evolving on the Euler time scale … Show more
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