Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-10-18
Phys. Rev. E63, 051302 (2001).
Physics
Condensed Matter
Statistical Mechanics
Version accepted for publication - Physical Review E
Scientific paper
10.1103/PhysRevE.63.051302
We study the dynamics of a glassy model with infinite range interactions externally driven by an oscillatory force. We find a well-defined transition in the (Temperature-Amplitude-Frequency) phase diagram between (i) a `glassy' state characterized by the slow relaxation of one-time quantities, aging in two-time quantities and a modification of the equilibrium fluctuation-dissipation relation; and (ii) a `liquid' state with a finite relaxation time. In the glassy phase, the degrees of freedom governing the slow relaxation are thermalized to an effective temperature. Using Monte-Carlo simulations, we investigate the effect of trapping regions in phase space on the driven dynamics. We find that it alternates between periods of rapid motion and periods of trapping. These results confirm the strong analogies between the slow granular rheology and the dynamics of glasses. They also provide a theoretical underpinning to earlier attempts to present a thermodynamic description of moderately driven granular materials.
Berthier Ludovic
Cugliandolo Leticia F.
Iguain José Luis
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