de Gier Jan, Essler Fabian H L
Excellence for Mathematics and Statistics of Complex Systems, Department of Mathematics and Statistics, The University of Melbourne, 3010 VIC, Australia.
Phys Rev Lett. 2005 Dec 9;95(24):240601. doi: 10.1103/PhysRevLett.95.240601. Epub 2005 Dec 8.
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.
我们推导了描述具有最一般开放边界条件的部分非对称排斥过程转移矩阵完整谱的贝塞耳假设方程。对于完全非对称扩散，我们计算了谱隙，它表征了长时间趋于平稳的过程。我们观察到在大量子、扩散和卡达尔 - 帕里西 - 张标度区域内及之间由边界引起的交叉现象。
