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Generalized Einstein relation for aging processes

Physics

Generalized Einstein relation for aging processes

J. Bao and X. Wang

This exciting research by Jing-Dong Bao and Xiang-Rong Wang delves into physical aging processes using a minimal Langevin model, proposing a generalized Einstein relation applicable to non-equilibrium situations. The study highlights intriguing aspects of anomalous diffusion and weak ergodicity breaking, also discussing applications to granular gases.

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Playback language: English
Abstract
This paper investigates physical aging processes using a minimal Langevin model. A generalized Einstein relation is proposed, extending its application to non-equilibrium situations where damping and temperature decrease with time. This relation is used to analyze anomalous diffusion, showing power-law diffusion away from the critical point and logarithmic Sinai-type ultra-slow diffusion at the critical point. The study explores weak ergodicity breaking and its connection to the generalized Einstein relation, concluding that irreversibility and convergence of time-averaged observables alone are insufficient for ergodicity. Applications to granular gases are also discussed.
Publisher
Communications Physics
Published On
Sep 02, 2024
Authors
Jing-Dong Bao, Xiang-Rong Wang
Tags
Langevin model
generalized Einstein relation
anomalous diffusion
weak ergodicity breaking
granular gases
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