Crossover from droplet to flat initial conditions in the KPZ equation from the replica Bethe ansatz

DOI10.1088/1742-5468/2014/04/P04018zbMath1456.60259arXiv1401.1081MaRDI QIDQ3301923

Pierre Le Doussal

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1081

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (9)

Half-space stationary Kardar-Parisi-Zhang equation ⋮ Delta-Bose gas on a half-line and the Kardar–Parisi–Zhang equation: boundary bound states and unbinding transitions ⋮ How flat is flat in random interface growth? ⋮ Log-gamma directed polymer with fixed endpoints via the replica Bethe Ansatz ⋮ Topology and the Kardar–Parisi–Zhang universality class ⋮ Crossover between various initial conditions in KPZ growth: flat to stationary ⋮ Tail of the two-time height distribution for KPZ growth in one dimension ⋮ Distribution of Brownian coincidences ⋮ Height fluctuations for the stationary KPZ equation

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