Blocks and gaps in the asymmetric simple exclusion process: Asymptotics

DOI10.1063/1.5021353zbMath1406.82014arXiv1711.08094OpenAlexW3099554817MaRDI QIDQ4687680

Harold Widom, Craig A. Tracy

Publication date: 12 October 2018

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

Full work available at URL: https://arxiv.org/abs/1711.08094

zbMATH Keywords

asymmetric simple exclusion processcluster probabilitiesstep initial conditionKardar-Parisi-Zhang scaling

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

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Cites Work

• The one-dimensional KPZ equation and its universality class
• Integral formulas for the asymmetric simple exclusion process
• A Fredholm determinant representation in ASEP
• Asymptotics in ASEP with step initial condition
• Interaction of Markov processes
• THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
• Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
• Blocks in the asymmetric simple exclusion process
• The crossover regime for the weakly asymmetric simple exclusion process