Quenched convergence and strong local equilibrium for asymmetric zero-range process with site disorder

DOI10.1007/S00440-019-00916-2zbMath1434.60269arXiv1804.06148OpenAlexW2796909528WikidataQ127866463 ScholiaQ127866463MaRDI QIDQ2291689

Thomas S. Mountford, Ellen Saada, Christophe Bahadoran, Krishnamurthi Ravishankar

Publication date: 31 January 2020

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.06148

zbMATH Keywords

phase transitioncondensationhydrodynamic limitlarge-time convergencesite disorderasymmetric zero-range processstrong local equilibrium

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 (2)

Hydrodynamics in a condensation regime: the disordered asymmetric zero-range process ⋮ Constructive Euler Hydrodynamics for One-Dimensional Attractive Particle Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Interacting particle systems. With a new postface.
• Derivation of the hydrodynamical equation for the zero-range interaction process
• Euler hydrodynamics of one-dimensional attractive particle systems
• Invariant measures for the zero range process
• Hydrodynamic limit for attractive particle systems on \(\mathbb{Z}{}^ d\)
• Hydrodynamics and platoon formation for a totally asymmetric exclusion model with particlewise disorder
• Conservation of local equilibrium for attractive particle systems on \(Z^ d\)
• Existence of hydrodynamics for the totally asymmetric simple \(K\)-exclusion process
• Hydrodynamic equations for attractive particle systems on Z
• The behavior of the specific entropy in the hydrodynamic scaling limit
• Convergence to the maximal invariant measure for a zero-range process with random rates.
• Asymmetric conservative processes with random rates
• Supercriticality conditions for asymmetric zero-range process with sitewise disorder
• Supercritical behavior of asymmetric zero-range process with sitewise disorder
• Convergence and local equilibrium for the one-dimensional nonzero mean exclusion process
• Nearest-neighbor Markov interaction processes on multidimensional lattices
• Hydrodynamical limit for space inhomogeneous one-dimensional totally asymmetric zero-range processes
• Phase transitions in driven diffusive systems with random rates

This page was built for publication: Quenched convergence and strong local equilibrium for asymmetric zero-range process with site disorder