Brownian Bridges for Late Time Asymptotics of KPZ Fluctuations in Finite Volume

被引：0
作者：
Kirone Mallick
Sylvain Prolhac
机构：
[1] Institut de Physique Théorique,
[2] CEA,undefined
[3] CNRS-URA 2306,undefined
[4] Laboratoire de Physique Théorique,undefined
[5] IRSAMC,undefined
[6] UPS,undefined
[7] Université de Toulouse,undefined
来源：
Journal of Statistical Physics | 2018年 / 173卷
关键词：
TASEP; KPZ fluctuations; Finite volume; Non-intersecting Brownian bridges;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Height fluctuations are studied in the one-dimensional totally asymmetric simple exclusion process with periodic boundaries, with a focus on how late time relaxation towards the non-equilibrium steady state depends on the initial condition. Using a reformulation of the matrix product representation for the dominant eigenstate, the statistics of the height at large scales is expressed, for arbitrary initial conditions, in terms of extremal values of independent standard Brownian bridges. Comparison with earlier exact Bethe ansatz asymptotics leads to explicit conjectures for some conditional probabilities of non-intersecting Brownian bridges with exponentially distributed distances between the endpoints.
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页码：322 / 361
页数：39
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