skip to main content

Title: Analysis of linear and nonlinear conductivity of plasma-like systems on the basis of the Fokker-Planck equation

The problems of high linear conductivity in an electric field, as well as nonlinear conductivity, are considered for plasma-like systems. First, we recall several observations of nonlinear fast charge transport in dusty plasma, molecular chains, lattices, conducting polymers, and semiconductor layers. Exploring the role of noise we introduce the generalized Fokker-Planck equation. Second, one-dimensional models are considered on the basis of the Fokker-Planck equation with active and passive velocity-dependent friction including an external electrical field. On this basis, it is possible to find the linear and nonlinear conductivities for electrons and other charged particles in a homogeneous external field. It is shown that the velocity dependence of the friction coefficient can lead to an essential increase of the electron average velocity and the corresponding conductivity in comparison with the usual model of constant friction, which is described by the Drude-type conductivity. Applications including novel forms of controlled charge transfer and non-Ohmic conductance are discussed.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ; ;  [5]
  1. Joint Institute for High Temperatures, Russian Academy of Sciences, 13/19, Izhorskaia Str., Moscow 125412 (Russian Federation)
  2. (Germany)
  3. (Netherlands)
  4. Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, D-12489 Berlin (Germany)
  5. Eindhoven University of Technology, P.O. Box 513, MB 5600 Eindhoven (Netherlands)
Publication Date:
OSTI Identifier:
22408292
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 4; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CHARGE TRANSPORT; CHARGED PARTICLES; ELECTRIC FIELDS; ELECTRONS; FOKKER-PLANCK EQUATION; FRICTION FACTOR; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; PLASMA; POLYMERS; SEMICONDUCTOR MATERIALS