Thermodynamic Interpretation of Soft Glassy Rheology Models

Abstract

Mesoscopic models play an important role in our understanding of the deformation and flow of amorphous materials. One such description, based on the Shear Transformation Zone (STZ) theory, has recently been re-formulated within a non-equilibrium thermodynamics framework, and found to be consistent with it. We show here that a similar interpretation can be made for the Soft Glassy Rheology (SGR) model. Conceptually this means that the "noise temperature" x, proposed phenomenologically in the SGR model to control the dynamics of a set of slow mesoscopic degrees of freedom, can consistently be interpreted as their actual thermodynamic temperature. (Because such modes are slow to equilibrate, this generally does not coincide with the temperature of the fast degrees of freedom and/or heat bath.) If one chooses to make this interpretation, the thermodynamic framework significantly constrains extensions of the SGR approach to models in which x is a dynamical variable. We assess in this light some such extensions recently proposed in the context of shear banding.

8 pages

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Cited by in corpus (11)

• Yield Stress Materials in Soft Condensed Matter
• Reynolds Pressure and Relaxation in a Sheared Granular System
• Two-temperature continuum thermomechanics of deforming amorphous solids
• Fluidization and wall slip of soft-glassy materials by controlled surface roughness
• Embedding Orthogonal Memories in a Colloidal Gel through Oscillatory Shear
• Equivalence of fluctuation-dissipation and Edwards' temperature in cyclically sheared granular systems
• Density scaling and quasiuniversality of flow-event statistics for athermal plastic flows
• Aging and linear response in the Hébraud-Lequeux model for amorphous rheology
• Nonequilibrium Thermodynamics of the Soft Glassy Rheology Model
• Exploring canyons in glassy energy landscapes using metadynamics
• Thermalized formulation of soft glassy rheology