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Slow dynamics under gravity: a nonlinear diffusion model | | Jeferson J. Arenzon
; Yan Levin
; Mauro Sellitto
; | | Date: |
23 Dec 2002 | | Journal: | 2003 Physica A 325 371-395 | | Subject: | Soft Condensed Matter; Disordered Systems and Neural Networks | cond-mat.soft cond-mat.dis-nn | | Abstract: | We present an analytical and numerical study of a nonlinear diffusion model which describes density relaxation of loosely packed particles under gravity and weak random (thermal) vibration, and compare the results with Monte Carlo simulations of a lattice gas under gravity. The dynamical equation can be thought of as a local density functional theory for a class of lattice gases used to model slow relaxation of glassy and granular materials. The theory predicts a jamming transition line between a low density fluid phase and a high density glassy regime, characterized by diverging relaxation time and logarithmic or power-law compaction according to the specific form of the diffusion coefficient. In particular, we show that the model exhibits history dependent properties, such as quasi reversible-irreversible cycle and memory effects -- as observed in recent experiments, and dynamical heterogeneities. | | Source: | arXiv, cond-mat/0301454 | | Services: | Forum | Review | PDF | Favorites | |
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