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09 August 2020
 
  » arxiv » cond-mat/9712001

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Rheological constitutive equation for model of soft glassy materials
Peter Sollich ;
Date 29 Nov 1997
Journal Phys. Rev. E 58: 738--759,1998 DOI: 10.1103/PhysRevE.58.738
Subject Soft Condensed Matter; Materials Science; Statistical Mechanics | cond-mat.soft cond-mat.mtrl-sci cond-mat.stat-mech
AffiliationUniversity of Edinburgh, U.K.
AbstractWe solve exactly and describe in detail a simplified scalar model for the low frequency shear rheology of foams, emulsions, slurries, etc. [P. Sollich, F. Lequeux, P. Hebraud, M.E. Cates, Phys. Rev. Lett. 78, 2020 (1997)]. The model attributes similarities in the rheology of such ``soft glassy materials’’ to the shared features of structural disorder and metastability. By focusing on the dynamics of mesoscopic elements, it retains a generic character. Interactions are represented by a mean-field noise temperature x, with a glass transition occurring at x=1 (in appropriate units). The exact solution of the model takes the form of a constitutive equation relating stress to strain history, from which all rheological properties can be derived. For the linear response, we find that both the storage modulus G’ and the loss modulus G’’ vary with frequency as omega^{x-1} for 1
Source arXiv, cond-mat/9712001
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