Bringing Together Two Paradigms of Nonequilibrium: Fragile versus Robust Aging in Driven Glassy Systems

IF 8.1 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Diego Tapias, Charles Marteau, Fabián Aguirre-López, Peter Sollich
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引用次数: 0

Abstract

There are two key paradigms for nonequilibrium dynamics: on the one hand, aging toward an equilibrium state that cannot be reached on reasonable timescales; on the other, external driving that can lead to nonequilibrium steady states. We explore how these two mechanisms interact by studying the behavior of trap models, which are paradigmatic descriptions of slow glassy dynamics, when driven by trajectory bias toward 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 the 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.
将两种非平衡范例结合起来:驱动玻璃系统中的脆性老化与稳健老化
非平衡态动力学有两个关键范式:一方面,向平衡态老化,但在合理的时间尺度内无法达到;另一方面,外部驱动可导致非平衡态稳定状态。我们通过研究陷阱模型的行为来探索这两种机制是如何相互作用的。陷阱模型是慢速玻璃状动力学的典型描述,在轨迹偏向高活性或低活性的驱动下,这些模型的行为会发生变化。为了诊断被驱动的系统是否会继续老化,我们建立了一个框架,用于将有偏差的动力学映射到马尔可夫时间演化中与时间相关的转换率。我们发现,原始老化动力学对驱动的反应有两种截然不同的定性方式:它可能被任何非零强度的驱动破坏("脆弱 "老化),即动力学要么达到活跃稳态,要么有效冻结;或者它可以在未驱动情况下的有限驱动强度范围内持续存在("稳健 "老化)。将老化分为脆弱老化和稳健老化可作为区分老化动力学不同普遍性类别的基础。
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来源期刊
Physical review letters
Physical review letters 物理-物理:综合
CiteScore
16.50
自引率
7.00%
发文量
2673
审稿时长
2.2 months
期刊介绍: Physical review letters(PRL)covers the full range of applied, fundamental, and interdisciplinary physics research topics: General physics, including statistical and quantum mechanics and quantum information Gravitation, astrophysics, and cosmology Elementary particles and fields Nuclear physics Atomic, molecular, and optical physics Nonlinear dynamics, fluid dynamics, and classical optics Plasma and beam physics Condensed matter and materials physics Polymers, soft matter, biological, climate and interdisciplinary physics, including networks
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