Publication | Open Access
A Thermodynamic Treatment of Anisotropic Diffusion in an Electric Field
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1972
Year
Numerical AnalysisEngineeringTransport PhenomenaElectric FieldThermodynamicsAnomalous DiffusionAnisotropic MaterialBoltzmann EquationPhysicsActive MatterNon-equilibrium ProcessNumerical Method For Partial Differential EquationNon-equilibrium ThermodynamicsApplied PhysicsDiffusion ProcessEquilibrium ThermodynamicsAnisotropic DiffusionChemical KineticsElectrical Mobility
Non-equilibrium thermodynamics is used to analyse the diffusive processes associated with a swarm of charged particles (ions or electrons) drifting in a neutral gas under the influence of an electric field. A simple approximate phenomenological relationship connecting components of the diffusion tensor with the drift velocity of the swarm is derived and the utility of the formula is illustrated in several cases where previous analyses have been carried out using the Boltzmann equation.