2000/10/31 by Ludovic Berthier, Leticia F. Cugliandolo, Jose Luis Iguain +1 · 2 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Amplitude #Condensed matter physics #Degrees of freedom (physics and chemistry) #Glass transition #Granular flow and fluidized beds #Material Dynamics and Properties #Materials science #Mathematics #Mechanics #Monte Carlo method #Nuclear magnetic resonance #Optics #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Relaxation (psychology) #Rheology #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.63.051302
published as Phys. Rev. E63, 051302 (2001). · Version accepted for publication - Physical Review E
arxiv created 2001/02/05 · openalex publication_date 2001/04/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.