Steady state of the KPZ equation on an interval and Liouville quantum mechanics

被引：13

作者：

Barraquand, Guillaume ^{[1
]}

Le Doussal, Pierre ^{[1
]}

机构：

[1] Univ Paris, Lab Phys, Ecole Normale Super, ENS,CNRS,Univ PSL,Sorbonne Univ, 24 Rue Lhomond, F-75231 Paris, France

来源：

EPL | 2022年 / 137卷 / 06期

关键词：

BROWNIAN-MOTION; RENORMALIZATION; DIFFUSION; POLYMERS; PARTICLE; MODEL;

D O I：

10.1209/0295-5075/ac25a9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain a simple formula for the stationary measure of the height field evolving according to the Kardar-Parisi-Zhang equation on the interval [0, L] with general Neumann-type boundary conditions and any interval size. This is achieved using the recent results of Corwin and Knizel (arXiv:2103.12253) together with Liouville quantum mechanics. Our formula allows to easily determine the stationary measure in various limits: KPZ fixed point on an interval, half-line KPZ equation, KPZ fixed point on a half-line, as well as the Edwards-Wilkinson equation on an interval. Copyright (C) 2022 EPLA

引用

页数：7

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