摘要翻译：
完全不对称排斥过程作为一个可解且具有广泛适用性的模型体系，在非平衡相变理论中享有标志性地位。在这里，我们着重研究了一维开晶格上粒子总数的时间依赖性，以及它的功率谱。利用蒙特卡罗模拟和解析方法，我们探讨了它在不同特征状态下的行为。在最大电流相和共存线上（高/低密度相之间），功率谱呈代数衰减，指数分别为-1.62和-2.00。在高/低密度相的深处，我们发现了明显的\emph{振荡}，它阻尼成幂律。这一行为可以理解为驱动有偏扩散与守恒噪声在体。
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英文标题：
《Power Spectra of the Total Occupancy in the Totally Asymmetric Simple
  Exclusion Process》
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作者：
D.A. Adams, R.K.P Zia, B. Schmittmann
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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：
  As a solvable and broadly applicable model system, the totally asymmetric exclusion process enjoys iconic status in the theory of non-equilibrium phase transitions. Here, we focus on the time dependence of the total number of particles on a 1-dimensional open lattice, and its power spectrum. Using both Monte Carlo simulations and analytic methods, we explore its behavior in different characteristic regimes. In the maximal current phase and on the coexistence line (between high/low density phases), the power spectrum displays algebraic decay, with exponents -1.62 and -2.00, respectively. Deep within the high/low density phases, we find pronounced \emph{oscillations}, which damp into power laws. This behavior can be understood in terms of driven biased diffusion with conserved noise in the bulk.
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PDF链接：
https://arxiv.org/pdf/706.0571