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Thermodynamic asymmetries in dual-temperature Brownian dynamics
Journal of Statistical Mechanics: Theory and Experiment ( IF 2.4 ) Pub Date : 2020-11-27 , DOI: 10.1088/1742-5468/abc4e4
Neha Tyagi , Binny J Cherayil

Recent work by Cerasoli etal (2018 Phys. Rev. E 98 042149) on a two-dimensional model of biased Brownian gyrators driven in part by temperature differences along distinct Cartesian axes, x and y, has revealed interesting asymmetries in the steady-state distribution of particle positions. These asymmetries are said to be reminiscent of the more conventional asymmetries associated with the fluctuation theorems of far-from-equilibrium thermodynamics. In the present paper, working within a path integral formalism, we derive the exact time-dependent propagator of this same 2D dual-temperature system, and show that it does in fact also satisfy several conventional fluctuation theorems, including the Crooks relation, the Jarzynski equality, the detailed fluctuation theorem, and the integral fluctuation theorem. For these theorems to be satisfied, however, we find that a parameter that we identify as an ‘effective temperature’ must bear a definite relation to the two temperatures that control particle dynamics in the x and y directions. This effective temperature turns out to be the harmonic mean of two analogous temperatures introduced by Cerasoli etal.



中文翻译:

双温布朗动力学中的热力学不对称性

通过Cerasoli最近的工作等人(2018个物理评论Ë 98上通过沿不同的笛卡尔轴,温度差在部分驱动的偏置布朗回转器的二维模型042149)Xÿ,揭示了粒子位置稳态分布中有趣的不对称性。据说这些不对称使人联想到与远离平衡热力学的波动定理有关的更常规的不对称。在本文中,我们在路径积分形式学中进行工作,得出了相同的二维双温度系统的精确时间相关传播子,并表明它确实还满足几个常规涨落定理,包括Crooks关系,Jarzynski等式,详细涨落定理和积分涨落定理。但是,为了满足这些定理,我们发现我们确定为“有效温度”的参数必须与控制x中粒子动力学的两个温度具有确定的关系。y方向。该有效温度原来是Cerasoli等人介绍的两个类似温度的谐波均值。

更新日期:2020-11-27
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