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摘要翻译：
结果表明，二维扩散系统中部分电流的涨落受旋涡的控制，导致了与流体动力学大偏差理论所预测的不同的标度。一般图上对称简单排他过程的部分电流涨落方差的精确计算支持了这一点。在二维环面上，我们的精确表达式与数值模拟结果进行了比较。它们证实了部分通量涨落对系统大小的对数依赖关系。文中还讨论了涡旋对分电流涨落关系有效性的影响。
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英文标题：
《Vortices in the two-dimensional Simple Exclusion Process》
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作者：
T. Bodineau, B. Derrida, J. Lebowitz
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最新提交年份：
2008
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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 show that the fluctuations of the partial current in two dimensional diffusive systems are dominated by vortices leading to a different scaling from the one predicted by the hydrodynamic large deviation theory. This is supported by exact computations of the variance of partial current fluctuations for the symmetric simple exclusion process on general graphs. On a two-dimensional torus, our exact expressions are compared to the results of numerical simulations. They confirm the logarithmic dependence on the system size of the fluctuations of the partialflux. The impact of the vortices on the validity of the fluctuation relation for partial currents is also discussed.
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PDF链接：
https://arxiv.org/pdf/709.0444
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