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arXiv 1804.09161math.PRcond-mat.stat-mechmath-phmath.MP
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准静态大偏差

Quasi-Static Large Deviations

Anna De Masi, Stefano Olla

摘要:

我们考虑对称简单排斥与开放的边界,在不同密度的粒子库接触。相对于系统达到稳定状态的自然时间尺度,油藏密度以较慢的时间尺度变化,这引起了[10]中证明的准静态水动力极限。我们在这里研究粒子密度场和总电流相对于这个极限的大偏差。我们明确地识别了大偏差泛函,并证明它满足一个涨落关系。

英文摘要:

We consider the symmetric simple exclusion with open boundaries that are in contact with particle reservoirs at different densities. The reservoir densities changes at a slower time scale with respect to the natural time scale the system reaches the stationary state.This gives rise to the quasi static hydrodynamic limit proven in [10]. We study here the large deviations with respect to this limit for the particle density field and the total current. We identify explicitely the large deviation functional and prove that it satisfies a fluctuation relation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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