Bethe ansatz solution of the asymmetric exclusion process with open boundaries

被引：208

作者：

de Gier, J ^{[1
]}

Essler, FHL

机构：

[1] Univ Melbourne, Dept Math & Stat, Excellence Math & State Complex Syst, Melbourne, Vic 3010, Australia

[2] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England

来源：

PHYSICAL REVIEW LETTERS | 2005年 / 95卷 / 24期

关键词：

D O I：

10.1103/PhysRevLett.95.240601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. For totally asymmetric diffusion we calculate the spectral gap, which characterizes the approach to stationarity at large times. We observe boundary induced crossovers in and between massive, diffusive, and Kardar-Parisi-Zhang scaling regimes.

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页数：4

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