标题： 一维定向聚合物在具有有限相关半径的随机势场中的漂移指数 显示英文标题

标题： The Wandering Exponent of a One-Dimensional Directed Polymer in a Random Potential with Finite Correlation Radius

摘要： 我们考虑一个在一维方向性聚合物在随机势场中的情况，该势场由具有有限尺寸局部相关性的高斯统计特性所描述。 已证明，最初为具有δ相关随机势场的方向性聚合物所得到的著名Kardar解，只能在高温极限下用于描述当前系统。 对于低温极限，我们得到了一个新的解，该解由一步复制对称性破缺来描述。 对于线性尺寸为L的方向性聚合物的均方偏差，它提供了通常的标度$L^{2z}$，其中漂移指数 z = 2/3 且温度无关的前因子。 显示英文摘要

摘要： We consider a one-dimensional directed polymer in a random potential which is characterized by the Gaussian statistics with the finite size local correlations. It is shown that the well-known Kardar's solution obtained originally for a directed polymer with delta-correlated random potential can be applied for the description of the present system only in the high-temperature limit. For the low temperature limit we have obtained the new solution which is described by the one-step replica symmetry breaking. For the mean square deviation of the directed polymer of the linear size L it provides the usual scaling $L^{2z}$ with the wandering exponent z = 2/3 and the temperature-independent prefactor.