Bridging Freidlin-Wentzell large deviations theory and stochastic thermodynamics.

IF 2.2 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS
Davide Santolin, Nahuel Freitas, Massimiliano Esposito, Gianmaria Falasco
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引用次数: 0

Abstract

For overdamped Langevin systems subjected to weak thermal noise and nonconservative forces, we establish a connection between Freidlin-Wentzell large deviations theory and stochastic thermodynamics. First, we derive a series expansion of the quasipotential around the detailed-balance solution, that is, the system's free energy, and identify the conditions for the linear response regime to hold, even far from equilibrium. Second, we prove that the escape rate from dissipative fixed points of the macroscopic dynamics is bounded by the entropy production of trajectories that relax into and escape from the attractors. These results provide the foundation to study the nonequilibrium thermodynamics of dissipative metastable states.

衔接Freidlin-Wentzell大偏差理论与随机热力学。
对于弱热噪声和非保守力作用下的过阻尼朗之万系统,我们建立了Freidlin-Wentzell大偏差理论与随机热力学之间的联系。首先,我们导出了详细平衡解(即系统的自由能)周围的准势的一系列展开式,并确定了线性响应状态保持的条件,即使远离平衡状态。其次,我们证明了宏观动力学中耗散不动点的逃逸速率是由松弛进入吸引子并逃离吸引子的轨迹的熵产所限定的。这些结果为研究耗散亚稳态的非平衡热力学提供了基础。
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来源期刊
Physical Review E
Physical Review E PHYSICS, FLUIDS & PLASMASPHYSICS, MATHEMAT-PHYSICS, MATHEMATICAL
CiteScore
4.50
自引率
16.70%
发文量
2110
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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