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非平衡双珠系统中的惯性驱动信息流与对称破缺

Inertia-Driven Information Flow and Symmetry Breaking in a Nonequilibrium Two-Bead System

Jetin E. Thomas, Ramandeep S. Johal

arXiv 2608.30849首次发表:更新:

发表机构

Indian Institute of Science Education and Research Mohali(印度科学教育研究所穆哈里分校)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究耦合双热浴的非平衡双珠系统,揭示其在过阻尼和欠阻尼 regime 中可生成信息流,发现惯性、质量不对称等因素对信息景观的影响,为纳米机器及复杂网络的信息机制研究提供基础框架。

AI 中文摘要

我们研究了耦合于两个热浴的非平衡双珠系统中的信息流生成。结果表明,该系统在过阻尼和欠阻尼 regime 中均作为信息流发生器,且欠阻尼动力学在热不对称-惯性参数空间的特定路径上显示出标度信息流的发散,这一现象在过阻尼极限中被隐藏。这种信息生成暗示了纳米机器中信息引擎和类麦克斯韦妖机制的可能实现途径。对信息流响应景观的对称扰动分析揭示了一种类似金兹堡-朗道框架的几何结构:对称参考态可根据扰动方向对应极小值或极大值,而平坦的过阻尼景观在惯性作用下产生有限曲率。质量不对称会偏移所得极大值,海森矩阵特征值与特征向量分析揭示了主模式的能级接触以及沿恒定扩散路径的双峰性。这些结果为理解惯性和微观异质性如何塑造非平衡系统中的信息景观建立了最小框架,具有向更复杂异质网络扩展的潜力。

英文摘要

We investigate information-flow generation in a nonequilibrium two-bead system coupled to two heat baths. We show that the system acts as an information-flow generator in both overdamped and underdamped regimes, with the underdamped dynamics revealing a divergence of the scaled information flow along specific paths in the thermal asymmetry--inertia parameter space that is hidden in the overdamped limit. This information generation suggests a possible route toward information engines and demon-like mechanisms in nanomachines. A symmetry-perturbation analysis of the response landscape of information flow reveals a geometric structure reminiscent of a Ginzburg--Landau framework: the symmetric reference state can correspond to a minimum or maximum depending on the perturbation direction, while the flat overdamped landscape develops a finite curvature under inertia. Mass asymmetry shifts the resulting maxima, and Hessian eigenvalue and eigenvector analysis reveals level touching of principal modes and bimodality along a constant-diffusion path. These results establish a minimal framework for understanding how inertia and microscopic heterogeneity shape information landscapes in nonequilibrium systems, with potential extensions to more complex heterogeneous networks.

Comments18 pages, 10 figures

论文原文

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