搭建Freidlin-Wentzell大偏差理论与随机热力学之间的桥梁
Bridging Freidlin-Wentzell large deviations theory and stochastic thermodynamics
AI总结：
本研究在过阻尼Langevin系统中建立了Freidlin-Wentzell大偏差理论与随机热力学的联系，推导了准势的级数展开式，证明了逃逸率的熵产生界，为耗散亚稳态非平衡热力学研究提供了基础。
摘要：
针对受弱热噪声和非保守力作用的过阻尼Langevin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，我们推导了准势在细致平衡解（即系统自由能）附近的级数展开式，并明确了线性响应区即使在远离平衡时也成立的条件。其次，我们证明了宏观动力学耗散不动点的逃逸率受限于向吸引子弛豫以及从吸引子逃逸的轨迹的熵产生。这些结果为研究耗散亚稳态的非平衡热力学奠定了基础。
英文摘要：
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, i.e. the system's free energy, and identify the condition 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.
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