Superdiffusive Heat Transport in a Class of Deterministic One-dimensional Many-Particle Lorentz Gases (Articolo in rivista)

Type
Label
  • Superdiffusive Heat Transport in a Class of Deterministic One-dimensional Many-Particle Lorentz Gases (Articolo in rivista) (literal)
Anno
  • 2009-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s10955-009-9783-4 (literal)
Alternative label
  • Pierre Collet (1); Jean-Pierre EckmanN (2,3); Carlos Mejía-Monasterio (4) (2009)
    Superdiffusive Heat Transport in a Class of Deterministic One-dimensional Many-Particle Lorentz Gases
    in Journal of statistical physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Pierre Collet (1); Jean-Pierre EckmanN (2,3); Carlos Mejía-Monasterio (4) (literal)
Pagina inizio
  • 331 (literal)
Pagina fine
  • 347 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://link.springer.com/article/10.1007%2Fs10955-009-9783-4 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 136 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 2 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (1). Centre de Physique Théorique, CNRS UMR 7644, Ecole Polytechnique, 91128, Palaiseau Cedex, France (2). Département de Physique Théorique, Université de Genève, Geneva, Switzerland (3). Section de Mathématiques, Université de Genève, Geneva, Switzerland (4). Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, Sesto Fiorentino, Italy (literal)
Titolo
  • Superdiffusive Heat Transport in a Class of Deterministic One-dimensional Many-Particle Lorentz Gases (literal)
Abstract
  • We study heat transport in a one-dimensional chain of a finite number N of identical cells, coupled at its boundaries to stochastic particle reservoirs. At the center of each cell, tracer particles collide with fixed scatterers, exchanging momentum. In a recent paper (Collet and Eckmann in Commun. Math. Phys. 287:1015, 2009), a spatially continuous version of this model was derived in a scaling regime where the scattering probability of the tracers is ??1/N, corresponding to the Grad limit. A Boltzmann-like equation describing the transport of heat was obtained. In this paper, we show numerically that the Boltzmann description obtained in Collet and Eckmann (Commun. Math. Phys. 287:1015, 2009) is indeed a bona fide limit of the particle model. Furthermore, we study the heat transport of the model when the scattering probability is 1, corresponding to deterministic dynamics. Thought as a lattice model in which particles jump between different scatterers the motion is persistent, with a persistence probability determined by the mass ratio among particles and scatterers, and a waiting time probability distribution with algebraic tails. We find that the heat and particle currents scale slower than 1/N, implying that this model exhibits anomalous heat and particle transport. (literal)
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