1999/07/31 by Federico Corberi, Mario Nicodemi, Marina Piccioni +1 · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Autocorrelation #Diffusion #Dissipation #Dynamics (music) #Field (mathematics) #Material Dynamics and Properties #Mathematics #Nonlinear system #Physics #Power law #Quantum mechanics #Schematic #Statistical physics #Theoretical and Computational Physics #Thermodynamic equilibrium #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.83.5054
published as Phys. Rev. Lett. 83, 5054 (1999) · 4 pages, 2 figures
arxiv created 1999/10/27 · openalex publication_date 1999/12/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a schematic nonlinear diffusion model where density fluctuations induce a rich out-of-equilibrium dynamics. The properties of the model are studied by numerical simulations and analytically in a mean field approximation. At low temperatures and high densities we find a long off-equilibrium glassy region, where the system evolves out of an initially pinned state showing aging and a slow decay of the autocorrelation as an enhanced power law, along with strong spatial heterogeneities and violation of the fluctuation-dissipation theorem.