发表机构
Rathinam Technical Campus（拉蒂纳姆技术校园）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过边界驱动的对称简单排斥过程，将非局域大偏差泛函与有限时间热力学不可逆性关联，发现最慢流体动力学模式的滞后受过剩熵产生率上界约束，建立了长程关联与耗散的定量联系。
AI 中文摘要
尽管微观动力学是纯粹局域的，非平衡稳态仍能发展出长程关联。我们在边界驱动的对称简单排斥过程中研究这一现象，通过将其精确的非局域大偏差泛函与弱时变驱动下的有限时间热力学不可逆性联系起来。将长程关联分解为流体动力学模式后，我们发现与最慢模式相关的滞后满足由每个驱动频率下的过剩熵产生率决定的上界。该上界在准静态极限下被逼近，而逐渐更短波长的模式通常不满足相应的上界。这些结果为大规模偏差泛函的曲率、非平衡稳态中的长程关联以及有限时间耗散之间提供了定量联系。在我们考虑的线性响应范围内，它们表明最长波长的流体动力学模式在慢弛豫与热力学不可逆性之间具有独特的关系。
英文摘要
Despite purely local microscopic dynamics, nonequilibrium steady states can develop long-range correlations. We investigate this phenomenon in the boundary-driven symmetric simple exclusion process by relating its exact nonlocal large-deviation functional to finite-time thermodynamic irreversibility under weak time-dependent driving. Decomposing the long-range correlations into hydrodynamic modes, we find that the lag associated with the slowest mode satisfies an upper bound determined by the excess entropy production rate at each driving frequency. This bound is approached in the quasistatic limit, whereas progressively shorter-wavelength modes do not generally satisfy the corresponding bound. These results provide a quantitative connection between the curvature of the large-deviation functional, long-range correlations in the nonequilibrium steady state, and finite-time dissipation. Within the linear-response regime considered here, they indicate that the longest-wavelength hydrodynamic mode has a distinct relation between slow relaxation and thermodynamic irreversibility.
Comments9 pages , 3 figures
