标题： 玻色-爱因斯坦凝聚在无序排斥模型中的表现及其与交通流的关系 显示英文标题

标题： Bose-Einstein Condensation In Disordered Exclusion Models and Relation to Traffic Flow

摘要： 一种一维不对称排斥模型的无序版本，其中粒子跳跃速率是淬火随机变量被研究。通过矩阵乘积精确求解了稳态。展示了玻色凝聚现象如何发生，即一定比例的空位在最慢粒子前凝聚。在粒子密度超过临界值时，会发生从低密度相（玻色凝聚态）到高密度相的相变。计算了描述稳态速度随粒子密度超过临界值而减少的指数，并表明该指数依赖于跳跃速率的分布。讨论了与交通流模型的关系。 显示英文摘要

摘要： A disordered version of the one dimensional asymmetric exclusion model where the particle hopping rates are quenched random variables is studied. The steady state is solved exactly by use of a matrix product. It is shown how the phenomenon of Bose condensation whereby a finite fraction of the empty sites are condensed in front of the slowest particle may occur. Above a critical density of particles a phase transition occurs out of the low density phase (Bose condensate) to a high density phase. An exponent describing the decrease of the steady state velocity as the density of particles goes above the critical value is calculated analytically and shown to depend on the distribution of hopping rates. The relation to traffic flow models is discussed.