Hydrodynamics and platoon formation for a totally asymmetric exclusion model with particlewise disorder

zbMath0964.82041MaRDI QIDQ1308046

Joachim Krug, Timo Seppäläinen

Publication date: 22 November 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

phase transitionquenched disorderphase separationhydrodynamic limitlimit theoremsdensity fluctuationsnumerical simulationsinteracting particle systemssquare latticetraffic modelsinterface growth processone-dimensional totally asymmetric exclusion modelquenched random jump rates

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Other physical applications of random processes (60K40)

Related Items (17)

A growth model in a random environment ⋮ Convergence to the maximal invariant measure for a zero-range process with random rates. ⋮ Behavior dominated by slow particles in a disordered asymmetric exclusion process. ⋮ Hydrodynamics in a condensation regime: the disordered asymmetric zero-range process ⋮ Non-intersecting path constructions for TASEP with inhomogeneous rates and the KPZ fixed point ⋮ Euler hydrodynamics for attractive particle systems in random environment ⋮ Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition ⋮ Constructive Euler Hydrodynamics for One-Dimensional Attractive Particle Systems ⋮ Properties of the limit shape for some last-passage growth models in random environments ⋮ Quantitative estimates for the flux of TASEP with dilute site disorder ⋮ Generalizations of TASEP in discrete and continuous inhomogeneous space ⋮ Second-order fluctuations and current across characteristic for a one-dimensional growth model of independent random walks ⋮ Quenched convergence and strong local equilibrium for asymmetric zero-range process with site disorder ⋮ Flats, spikes and crevices: the evolving shape of the inhomogeneous corner growth model ⋮ Last passage percolation in an exponential environment with discontinuous rates ⋮ Properties and conjectures for the flux of TASEP with site disorder ⋮ Supercriticality conditions for asymmetric zero-range process with sitewise disorder

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