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Stochastic thermodynamics of relativistic Brownian motion
New Journal of Physics ( IF 3.3 ) Pub Date : 2020-07-28 , DOI: 10.1088/1367-2630/ab9ce6
P S Pal , Sebastian Deffner

Physical scenarios that require a relativistic treatment are ubiquitous in nature, ranging from cosmological objects to charge carriers in Dirac materials. Interestingly all of these situations have in common that the systems typically operate very far from thermal equilibrium. Therefore, if and how the framework of stochastic thermodynamics applies at relativistic energies is a salient question. In the present work we generalize the notions of stochastic heat and work for the relativistic Langevin equation and derive the fluctuation theorems without and with feedback. For processes with feedback we consider the ramifications of the lack of simultaneity of events in the inertial frames of observer and Brownian particles, and we argue that the framework of absolute irreversibility is instrumental to avoid acausal considerations. The analysis is concluded with a few remarks on potential experimental applications in graphene.

中文翻译:

相对论布朗运动的随机热力学

需要相对论处理的物理场景在自然界中无处不在,从宇宙学物体到狄拉克材料中的电荷载流子。有趣的是,所有这些情况都有一个共同点,即系统通常在远离热平衡的情况下运行。因此,随机热力学的框架是否以及如何应用于相对论能量是一个突出的问题。在目前的工作中,我们概括了相对论朗之万方程的随机热和功的概念,并推导出没有和有反馈的涨落定理。对于有反馈的过程,我们考虑观察者和布朗粒子的惯性系中事件缺乏同时性的后果,我们认为绝对不可逆性的框架有助于避免因果关系的考虑。
更新日期:2020-07-28
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