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Stretched exponential relaxation in a diffusive model for granular compaction (Articolo in rivista)
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- Stretched exponential relaxation in a diffusive model for granular compaction (Articolo in rivista) (literal)
- Anno
- 2002-01-01T00:00:00+01:00 (literal)
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C. Fusco 1, P. Gallo 2, A. Petri 3, M. Rovere 2 (2002)
Stretched exponential relaxation in a diffusive model for granular compaction
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- C. Fusco 1, P. Gallo 2, A. Petri 3, M. Rovere 2 (literal)
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- We presented a Monte Carlo study of the single dimer
density correlators for a randomly diffusive model of dimers
on a square lattice as function of density. For each density
the starting configurations have been generated through a
RSAD-2D model. We found that the dynamical behavior is
related with the system dimensionality and that the diffusive
dynamics is non-Brownian for the time regimes investigated.
In spite of its simplicity the model considered shows a quite
complex dynamical behavior, and in particular some features resembling that of the slow relaxation of structural glass formers are found.
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- In this paper we explore by computer simulation the equi-librium dynamical properties of a lattice gas of dimers as a function of density in two dimensions. The starting configu-rations
have been produced with a RSAD model where by deposition and diffusion of particles we reach the desired value for the density. In this way, due to the geometrical frustration, as the dimer density increases trapping configu-rations that only depend on the local environment are created in the system. The dynamical properties are studied by switching the deposition off.
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- 1 Department of Theoretical Physics, University of Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands
2 Dipartimento di Fisica, Universita` Roma Tre, and Istituto Nazionale per la Fisica della Materia, Unita` di Ricerca Roma Tre,
Via della Vasca Navale 84, I-00146 Roma, Italy
3 Consiglio Nazionale delle Ricerche, Istituto di Acustica O. M. Corbino, Area della Ricerca di Roma Tor Vergata,
Via del Fosso del Cavaliere 100, 00133 Roma, Italy (literal)
- Titolo
- Stretched exponential relaxation in a diffusive model for granular compaction (literal)
- Abstract
- We studied the single dimer dynamics in a lattice diffusive model as a function of particle density in the high
densification regime. The mean square displacement is found to be subdiffusive both in one and two dimen-sions.
The spatial dependence of the self-part of the van Hove correlation function displays as a function of r
a single peak and signals a dramatic slow down of the system for high density. The self-intermediate scattering
function is fitted to the Kohlrausch-Williams-Watts law. The exponent b extracted from the fits is density
independent while the relaxation time tfollows a scaling law with an exponent 2.5. (literal)
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