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摘要翻译：
通过分析由固定在边界处的密度差驱动的随机非线性扩散方程，研究了密度涨落的一个大偏差泛函。利用一个产生涨落定理的基本等式，我们首先将大偏差泛函与一个极小化问题联系起来。然后我们发展了一个摄动方法来解决这个问题。特别地，通过对平均电流进行展开，我们导出了偏离局部平衡部分的最低阶表达式。这个表达式意味着偏差被写成在产生与大偏差泛函的论点相对应的波动的最可能过程中，超额熵产生率的时空积分。
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英文标题：
《A perturbation theory for large deviation functionals in fluctuating
hydrodynamics》
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作者：
Shin-ichi Sasa
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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 a large deviation functional of density fluctuation by analyzing stochastic non-linear diffusion equations driven by the difference between the densities fixed at the boundaries. By using a fundamental equality that yields the fluctuation theorem, we first relate the large deviation functional with a minimization problem. We then develop a perturbation method for solving the problem. In particular, by performing an expansion with respect to the average current, we derive the lowest order expression for the deviation from the local equilibrium part. This expression implies that the deviation is written as the space-time integration of the excess entropy production rate during the most probable process of generating the fluctuation that corresponds to the argument of the large deviation functional.
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PDF链接：
https://arxiv.org/pdf/706.0043
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