We study the mean-field limit of an elasto-plastic model introduced to describe the yielding transition of athermally and quasi-statically sheared amorphous solids. We focus on the sample-to-sample fluctuations, which we characterize analytically, and investigate in detail the analogy with the athermally driven random-field Ising model. We stress that the random field at the yielding transition is an emerging disorder and we investigate the various factors that determine its strength.
Emergence of a random field at the yielding transition of a mean-field elasto-plastic model / Rossi, S., Tarjus, G.. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2022:9(2022), pp. 1-55. [10.1088/1742-5468/ac8741]
Emergence of a random field at the yielding transition of a mean-field elasto-plastic model
Rossi, Saverio
Primo
;Tarjus, Gilles
2022
Abstract
We study the mean-field limit of an elasto-plastic model introduced to describe the yielding transition of athermally and quasi-statically sheared amorphous solids. We focus on the sample-to-sample fluctuations, which we characterize analytically, and investigate in detail the analogy with the athermally driven random-field Ising model. We stress that the random field at the yielding transition is an emerging disorder and we investigate the various factors that determine its strength.| File | Dimensione | Formato | |
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