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Available online at www.sciencedirect.com Physica A 325 (2003) 371395
 

Summary: Available online at www.sciencedirect.com
Physica A 325 (2003) 371­395
www.elsevier.com/locate/physa
Slow dynamics under gravity:
a nonlinear di usion model
Jeferson J. Arenzona;, Yan Levina , Mauro Sellittob
aInstituto de FÃsica, Universidade Federal do Rio Grande do Sul, CP 15051,
Porto Alegre RS 91501-970, Brazil
bAbdus Salam International Centre for Theoretical Physics, Strada Costiera, 11, 34100 Trieste, Italy
Received 9 January 2003
Abstract
We present an analytical and numerical study of a nonlinear di usion model which describes
density relaxation of densely packed particles under gravity and weak random (thermal) vibra-
tion, 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 lat-
tice gases used to model slow relaxation of glassy and granular materials. The theory predicts
a jamming transition line between a low-density uid phase and a high-density glassy regime,
characterized by diverging relaxation time and logarithmic or power-law compaction according
to the speciÿc form of the di usion coe cient. In particular, we show that the model exhibits
history-dependent properties, such as quasi-reversible­irreversible cycle and memory e ects--as

  

Source: Arenzon, Jeferson J. - Instituto de Física, Universidade Federal do Rio Grande do Sul
Levin, Yan - Instituto de Física, Universidade Federal do Rio Grande do Sul

 

Collections: Physics