Department of Mathematics and Statistics, The University of Melbourne, Victoria, Australia.
Phys Rev Lett. 2011 Jul 1;107(1):010602. doi: 10.1103/PhysRevLett.107.010602. Epub 2011 Jun 30.
We consider the one-dimensional asymmetric exclusion process with particle injection and extraction at two boundaries. The model is known to exhibit four distinct phases in its stationary state. We analyze the current statistics at the first site in the low and high density phases. In the limit of infinite system size, we conjecture an exact expression for the current large deviation function.
我们考虑在两个边界处具有粒子注入和提取的一维非对称排斥过程。该模型在其稳态下表现出四个不同的相。我们分析了低密度相和高密度相中第一个位置的电流统计。在无限大系统尺寸的极限下,我们推测出电流大偏差函数的精确表达式。