Bodineau T, Derrida B
Laboratoire de Probabilités et Modèles Aléatoires, CNRS-UMR 7599, Universités Paris VI & VII, 4 place Jussieu, Case 188, F-75252 Paris, Cedex 05, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Dec;72(6 Pt 2):066110. doi: 10.1103/PhysRevE.72.066110. Epub 2005 Dec 9.
We consider diffusive lattice gases on a ring and analyze the stability of their density profiles conditionally to a current deviation. Depending on the current, one observes a phase transition between a regime where the density remains constant and another regime where the density becomes time dependent. Numerical data confirm this phase transition. This time dependent profile persists in the large drift limit and allows one to understand on physical grounds the results obtained earlier for the totally asymmetric exclusion process on a ring.
我们考虑环上的扩散晶格气体，并根据电流偏差分析其密度分布的稳定性。根据电流的不同，人们观察到在密度保持恒定的状态和密度随时间变化的另一种状态之间存在相变。数值数据证实了这种相变。这种随时间变化的分布在大漂移极限下持续存在，并且使人们能够从物理角度理解早期在环上完全不对称排斥过程中获得的结果。
