Zero-Range Process with Open Boundaries
Zero-Range Process with Open Boundaries
复制标题
具有开放边界的零范围过程
DOI：
--
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
G. Schütz
中科院分区：
文献类型：
--
作者：
E. Levine;D. Mukamel;G. Schütz
本文计算了具有任意体积和边界跳跃率的一维零程过程的精确定态分布。当这样的分布存在时，稳定状态没有网站之间的相关性，是唯一的特征在于由一个空间依赖的逸度，这是边界速率和跳跃不对称性的函数。对于强边界驱动，系统没有平稳分布。在环状几何上允许冷凝过渡的系统中，冷凝物在一个或两个边界位置处发展。在所有其他位置上，粒子分布接近于具有有限临界密度ρc的乘积测度。在不支持环上凝聚的系统中，强边界驱动导致边界处的凝聚。然而，在这种情况下，内部的局部颗粒密度随时间呈现复杂的代数增长。我们计算的体积和边界生长指数作为系统参数的函数。
We calculate the exact stationary distribution of the one-dimensional zero-range process with open boundaries for arbitrary bulk and boundary hopping rates. When such a distribution exists, the steady state has no correlations between sites and is uniquely characterized by a space-dependent fugacity which is a function of the boundary rates and the hopping asymmetry. For strong boundary drive the system has no stationary distribution. In systems which on a ring geometry allow for a condensation transition, a condensate develops at one or both boundary sites. On all other sites the particle distribution approaches a product measure with the finite critical density ρc. In systems which do not support condensation on a ring, strong boundary drive leads to a condensate at the boundary. However, in this case the local particle density in the interior exhibits a complex algebraic growth in time. We calculate the bulk and boundary growth exponents as a function of the system parameters.