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 layer...

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Bibliographic Details
Published in:Physics of plasmas 2015-04, Vol.22 (4)
Main Authors: Trigger, S. A., Ebeling, W., van Heijst, G. J. F., Litinski, D.
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Charge transfer
CHARGE TRANSPORT
CHARGED PARTICLES
Coefficient of friction
Conducting polymers
Conductivity
Dependence
Dusty plasmas
ELECTRIC FIELDS
Electrical resistivity
ELECTRONS
FOKKER-PLANCK EQUATION
Friction
FRICTION FACTOR
Lattices
Molecular chains
NONLINEAR PROBLEMS
Nonlinear systems
One dimensional models
ONE-DIMENSIONAL CALCULATIONS
PLASMA
Plasma physics
POLYMERS
Resistance
SEMICONDUCTOR MATERIALS
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Summary: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.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4917327