Journal
EUROPEAN PHYSICAL JOURNAL E
Volume 38, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1140/epje/i2015-15071-x
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Funding
- ERC [ADG20110209]
- IUF
- Swiss National Science Foundation [P2GEP2-15586]
- French Agence Nationale de la Recherche [ANR-14-CE32-0005]
- National Science Foundation [NSF PHY11-25915]
- Agence Nationale de la Recherche (ANR) [ANR-14-CE32-0005] Funding Source: Agence Nationale de la Recherche (ANR)
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We show that, at least at a mean-field level, the effect of structural disorder in sheared amorphous media is very dissimilar depending on the thermal or athermal nature of their underlying dynamics. We first introduce a toy model, including explicitly two types of noise (thermal versus athermal). Within this interpretation framework, we argue that mean-field athermal dynamics can be accounted for by the so-called Hebraud-Lequeux (HL) model, in which the mechanical noise stems explicitly from the plastic activity in the sheared medium. Then, we show that the inclusion of structural disorder, by means of a distribution of yield energy barriers, has no qualitative effect in the HL model, while such a disorder is known to be one of the key ingredients leading kinematically to a finite macroscopic yield stress in other mean-field descriptions, such as the Soft-Glassy-Rheology model. We conclude that the statistical mechanisms at play in the emergence of a macroscopic yield stress, and a complex stationary dynamics at low shear rate, are different in thermal and athermal amorphous systems.
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