The kinetic theory of a dilute ionized plasma

Author(s)

    • García-Colín Scherer, Leopoldo
    • Dagdug, Leonardo

Bibliographic Information

The kinetic theory of a dilute ionized plasma

Leopoldo S. García-Colín, Leonardo Dagdug

(Springer series on atomic, optical, and plasma physics, 53)

Springer, c2009

Other Title

Kinetic theory of inert dilute plasmas

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

The contents of this book are the result of work performed in the past three years to provide some answers to questions raised by several colleagues wo- inginastrophysics. Examiningseveraltransportprocessesinplasmasrelated to dissipative e?ects in phenomena such as cooling ?ows, propagation of sound waves, thermal conduction in the presence of magnetic ?elds, an- lar momentum transfer in accretion disks, among many, one ?nds a rather common pattern. Indeed when values for transport coe?cients are required the overwhelming majority of authors refer to the classical results obtained by L. Spitzer and S. Braginski over forty years ago. Further, it is also often mentioned that under the prescribed working conditions the values of such coe?cients are usually insu?cient to provide agreement with observations. The methodology followed by these authors is based upon Landau's - oneering idea that collisions in plasmas may be substantially accounted for when viewed as a di?usive process. Consequently the ensuing basic kinetic equation is the Fokker-Planck version of Boltzmann's equation as essentially proposed by Landau himself nearly 70 years ago. Curiously enough the magni?cent work of the late R. Balescu in both Classical and Non-Classical transport in plasmas published in 1988 and also based on the Fokker-Planck equation is hardly known in the astrophysical audience. The previous work of Spitzer and Braginski is analyzed with much more rigorous vision in his two books on the subject.

Table of Contents

Vector Transport Processes.- Non-equilibrium Thermodynamics.- The Problem.- Solution of the Boltzmann Equation.- Calculation of the Currents.- Solution of the Integral Equations.- The Transport Coefficients.- Discussion of the Results.- Tensorial Transport Processes.- Viscomagnetism.- Magnetohydrodynamics.

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