title: Particle model for nonlocal heat transport in fusion plasmas.
abstract: We present a simple stochastic, one-dimensional model for heat transfer in weakly collisional media as fusion plasmas. Energies of plasma particles are treated as lattice random variables interacting with a rate inversely proportional to their energy schematizing a screened Coulomb interaction. We consider both the equilibrium (microcanonical) and nonequilibrium case in which the system is in contact with heat baths at different temperatures. The model exhibits a characteristic length of thermalization that can be associated with an interaction mean free path and one observes a transition from ballistic to diffusive regime depending on the average energy of the system. A mean-field expression for heat flux is deduced from system heat transport properties. Finally, it is shown that the nonequilibrium steady state is characterized by long-range correlations.
authors.affiliation: Aix-Marseille Université, Laboratoire M2P2-CNRS UMR 7340, 38, rue Frédéric Joliot-Curie, 13451 Marseille, France.
authors.forename: H
authors.initials: H
authors.lastname: Bufferand
authors.forename: G
authors.initials: G
authors.lastname: Ciraolo
authors.forename: Ph
authors.initials: P
authors.lastname: Ghendrih
authors.forename: S
authors.initials: S
authors.lastname: Lepri
authors.forename: R
authors.initials: R
authors.lastname: Livi
mesh_terms: D003198:Computer Simulation; D004735:Energy Transfer; D006358:Hot Temperature; D008956:Models, Chemical; D010316:Particle Size; D058626:Plasma Gases / Q000737:chemistry*
chemical_list: D058626:Plasma Gases