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非晶体系中的雪崩尺寸与事件间隔时间统计

Avalanche Size and Interevent Time Statistics in Amorphous System

Thomas Muhren, Roberto Benzi, Mauro Sbragaglia, Jeannot Trampert, Federico Toschi

arXiv 2609.24462首次发表:更新:

发表机构

Eindhoven University of Technology; North University of China; University of Tor Vergata; INFN; Utrecht University(埃因霍温理工大学; 中北大学; 托尔维加塔大学; 意大利国家核物理研究所; 乌得勒支大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究通过软玻璃场论模型,发现雪崩尺寸与事件间隔时间均呈幂律分布,且标度指数满足精确关系,为理解非晶体系间歇流动提供了统一框架。

AI 中文摘要

非晶体系的间歇性、粘滑流动以雪崩为特征,其统计性质展现出稳健的幂律行为。本文研究剪切作用下软玻璃体系场论模型中的雪崩统计。我们模型中的序参量为流动性,它与软玻璃中局部塑性事件的速率相关。虽然雪崩尺寸$S$已被广泛表征,但事件间隔时间$t_i$的统计仍 largely 未被探索。在此,我们发现$S$和$t_i$均服从幂律分布,且其标度指数满足精确关系。该模型能够解析推导标度指数,并再现广泛非晶体系类别中观察到的行为。

英文摘要

The intermittent, stick-slip flow of amorphous systems is characterized by avalanches whose statistical properties display robust power-laws. In this paper, we study avalanche statistics in a field theoretical model of a soft-glassy system under shear. The order parameter in our model is the fluidity, which is related to the local rate of plastic events in a soft-glass. While avalanche sizes $S$ have been extensively characterized, the statistics of interevent times $t_i$ have remained largely unexplored. Here, we find that both $S$ and $t_i$ are power-law distributed and that their scaling exponents satisfy a precise relation. The model enables the analytical derivation of the scaling exponents and the reproduction of the behavior observed across a wide class of amorphous systems.

论文原文

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