摘要翻译：
我们研究了两个非平衡系统的统计行为。第一种是在外场的作用下具有两种粒子的准一维气体，外场驱动每种粒子向相反的方向运动。第二个是一个具有近邻相互作用的一维自旋系统，也受到外力的影响。这两个系统都表现出一个动态的缩放与定义域的形成。将这些域的统计行为与基于合并随机游动和交互随机游动的模型进行了比较。我们发现气体和自旋系统的标度畴尺寸分布很好地符合Wigner推测，这使我们探索了这些系统与随机矩阵的圆形正交系综之间的可能联系。然而，对畴边相关函数的研究表明，无论是气体系统还是自旋系统，畴边的统计行为都不能完全用圆形正交系综来描述，也不能用其他模型来描述，如合并随机游动和相互作用随机游动。然而，我们发现一个独立区间的简单模型更能描述这些系统中形成的区域的统计行为。
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英文标题：
《Statistical Behavior Of Domain Systems》
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作者：
Diego Luis Gonzalez and Gabriel Tellez (Universidad de los Andes,
  Bogota, Colombia)
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We study the statistical behavior of two out of equilibrium systems. The first one is a quasi one-dimensional gas with two species of particles under the action of an external field which drives each species in opposite directions. The second one is a one-dimensional spin system with nearest neighbor interactions also under the influence of an external driving force. Both systems show a dynamical scaling with domain formation. The statistical behavior of these domains is compared with models based on the coalescing random walk and the interacting random walk. We find that the scaling domain size distribution of the gas and the spin systems is well fitted by the Wigner surmise, which lead us to explore a possible connection between these systems and the circular orthogonal ensemble of random matrices. However, the study of the correlation function of the domain edges, show that the statistical behavior of the domains in both gas and spin systems, is not completely well described by circular orthogonal ensemble, nor it is by other models proposed such as the coalescing random walk and the interacting random walk. Nevertheless, we find that a simple model of independent intervals describe more closely the statistical behavior of the domains formed in these systems.
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PDF链接：
https://arxiv.org/pdf/704.2619