Driven lattice gases are widely regarded as the paradigm of collective phenomena out of equilibrium. While such models are usually studied with nearest-neighbor interactions, many empirical driven systems are dominated by slowly decaying interactions such as dipole-dipole and Van der Waals forces. Motivated by this gap, we study the nonequilibrium stationary state of a driven lattice gas with slow-decayed repulsive interactions at zero temperature. By numerical and analytical calculations of the particle current as a function of the density and of the driving field, we identify (i) an abrupt breakdown transition between insulating and conducting states, (ii) current quantization into discrete phases where a finite current flows with infinite differential resistivity, and (iii) a fractal hierarchy of excitations, related to the Farey sequences of number theory. We argue that the origin of these effects is the competition between scales, which also causes the counterintuitive phenomenon that crystalline states can melt by increasing the density.

Current quantization and fractal hierarchy in a driven repulsive lattice gas / P. Rotondo, A..L. Sellerio, P. Glorioso, S. Caracciolo, M. Cosentino Lagomarsino, M. Gherardi. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 96:5(2017 Nov 29), pp. 052141.1-052141.7.

Current quantization and fractal hierarchy in a driven repulsive lattice gas

P. Rotondo;A..L. Sellerio;S. Caracciolo;M. Cosentino Lagomarsino;M. Gherardi
2017-11-29

Abstract

Driven lattice gases are widely regarded as the paradigm of collective phenomena out of equilibrium. While such models are usually studied with nearest-neighbor interactions, many empirical driven systems are dominated by slowly decaying interactions such as dipole-dipole and Van der Waals forces. Motivated by this gap, we study the nonequilibrium stationary state of a driven lattice gas with slow-decayed repulsive interactions at zero temperature. By numerical and analytical calculations of the particle current as a function of the density and of the driving field, we identify (i) an abrupt breakdown transition between insulating and conducting states, (ii) current quantization into discrete phases where a finite current flows with infinite differential resistivity, and (iii) a fractal hierarchy of excitations, related to the Farey sequences of number theory. We argue that the origin of these effects is the competition between scales, which also causes the counterintuitive phenomenon that crystalline states can melt by increasing the density.
Physics - Statistical Mechanics; Physics - Statistical Mechanics; Statistical and Nonlinear Physics; Statistics and Probability; Condensed Matter Physics
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
PHYSICAL REVIEW. E
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/541836
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