融合非平衡的两种范式:受驱动玻璃系统中的脆弱老化与稳健老化
Bringing together two paradigms of non-equilibrium: Fragile versus robust aging in driven glassy systems
AI总结:
本研究通过轨迹偏置驱动的陷阱模型,揭示玻璃态老化动力学可分为脆弱老化与稳健老化两类,为区分老化动力学的普适类提供了新框架。
摘要:
非平衡动力学存在两个关键范式:一方面,系统向平衡态老化,但该平衡态在合理时间尺度内无法达到;另一方面,外部驱动可导致非平衡稳态。我们通过研究陷阱模型(描述缓慢玻璃态动力学的典型模型)在受到朝向高或低活性的轨迹偏置驱动时的行为,探索这两种机制如何相互作用。为判断受驱动系统是否继续老化,我们建立了一个框架,将偏置动力学映射为具有时变转移速率的马尔可夫时间演化。我们发现,原始老化动力学对驱动表现出两种性质不同的响应:任何非零强度的驱动都可能破坏老化(脆弱老化),此时动力学要么达到活性稳态,要么有效冻结;或者老化可以在未驱动情形周围有限范围的驱动强度内持续存在(稳健老化)。这种脆弱老化与稳健老化的分类,可能为区分老化动力学的不同普适类提供基础。
英文摘要:
There are two key paradigms for non-equilibrium dynamics: on the one hand, aging towards an equilibrium state that cannot be reached on reasonable timescales; on the other, external driving that can lead to non-equilibrium steady states. We explore how these two mechanisms interact, by studying the behaviour of trap models, which are paradigmatic descriptions of slow glassy dynamics, when driven by trajectory bias towards high or low activity. To diagnose whether the driven systems continue to age, we establish a framework for mapping the biased dynamics to a Markovian time evolution with time-dependent transition rates. We find that the original aging dynamics reacts in two qualitatively distinct ways to the driving: it can be destroyed by driving of any nonzero strength (fragile aging), whereby the dynamics either reaches an active steady state or effectively freezes; or it can persist within a finite range of driving strengths around the undriven case (robust aging). This classification into fragile and robust aging could form the basis for distinguishing different universality classes of aging dynamics.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。