Depken Martin, Stinchcombe Robin
Department of Physics, Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom.
Phys Rev Lett. 2004 Jul 23;93(4):040602. doi: 10.1103/PhysRevLett.93.040602. Epub 2004 Jul 22.
We study the asymmetric simple exclusion process with open boundaries and derive the exact form of the joint probability function for the occupation number and the current through the system. We further consider the thermodynamic limit, showing that the resulting distribution is non-Gaussian and that the density fluctuations have a discontinuity at the continuous phase transition, while the current fluctuations are continuous. The derivations are performed by using the standard operator algebraic approach and by the introduction of new operators satisfying a modified version of the original algebra.
我们研究了具有开放边界的非对称简单排斥过程，并推导了占据数和通过系统的电流的联合概率函数的精确形式。我们进一步考虑了热力学极限，表明所得分布是非高斯的，并且密度涨落在连续相变处具有不连续性，而电流涨落是连续的。推导是通过使用标准的算子代数方法并引入满足原始代数修改版本的新算子来进行的。
