Exponential rate of convergence in current reservoirs

DOI10.3150/14-BEJ628zbMath1330.60117arXiv1304.0624OpenAlexW1588948825MaRDI QIDQ2515519

Anna De Masi, Errico Presutti, Dimitrios K. Tsagkarogiannis, Maria Eulália Vares

Publication date: 5 August 2015

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0624

zbMATH Keywords

exclusion processrandom walkexponential convergencestationary measureinteracting particle systembirth-and-death processmoving environmentcurrent reservoirsDöblin process

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

Fick law and sticky Brownian motions ⋮ Extinction time for a random walk in a random environment

Cites Work

• Truncated correlations in the stirring process with births and deaths
• Non-equilibrium stationary states in the symmetric simple exclusion with births and deaths
• Current reservoirs in the simple exclusion process
• Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
• Large deviation of the density profile in the steady state of the open symmetric simple exclusion process.
• Current large deviations for asymmetric exclusion processes with open boundaries
• Non equilibrium current fluctuations in stochastic lattice gases
• Extinction time for a random walk in a random environment
• A diffusive system driven by a battery or by a smoothly varying field

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