A constructive approach to Euler hydrodynamics for attractive processes. Application to \(k\)-step exclusion.

DOI10.1016/S0304-4149(01)00158-2zbMath1058.60084OpenAlexW2157629518MaRDI QIDQ1766069

Ellen Saada, Christophe Bahadoran, Hervé Guiol, Krishnamurthi Ravishankar

Publication date: 25 February 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(01)00158-2

zbMATH Keywords

hydrodynamicscontact discontinuitiesnon-convex or non-concave flux\(k\)-step exclusion

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (14)

Blockage hydrodynamics of one-dimensional driven conservative systems. ⋮ Euler hydrodynamics of one-dimensional attractive particle systems ⋮ Duality and hidden symmetries in interacting particle systems ⋮ Limit shapes and local statistics for the stochastic six-vertex model ⋮ Hydrodynamics in a condensation regime: the disordered asymmetric zero-range process ⋮ Couplings, attractiveness and hydrodynamics for conservative particle systems ⋮ Stochastic PDE limit of the dynamic ASEP ⋮ Euler hydrodynamics for attractive particle systems in random environment ⋮ Constructive Euler Hydrodynamics for One-Dimensional Attractive Particle Systems ⋮ Hydrodynamics and hydrostatics for a class of asymmetric particle systems with open boundaries ⋮ Law of large numbers for the simple exclusion process ⋮ Macroscopic stability for nonfinite range kernels ⋮ Continuous and discontinuous waves in an ASEP with pockets ⋮ Supercriticality conditions for asymmetric zero-range process with sitewise disorder

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