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van Erkelens, H. 6 Van Erkelens, H. 4 van Leeuwen, W.A. 4 Van Leeuwen, W.A. 2
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Physica A: Statistical Mechanics and its Applications 10
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Relativistic Boltzmann theory for a plasma
van Erkelens, H.; van Leeuwen, W.A. - In: Physica A: Statistical Mechanics and its Applications 123 (1984) 1, pp. 72-98
General expressions are derived for the transport coefficients related to the vectorial transport phenomena in a plasma. As an example, the electrical conductivity of the cosmological fluid is calculated.
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Relativistic Boltzmann theory for a plasma
van Erkelens, H. - In: Physica A: Statistical Mechanics and its Applications 111 (1982) 3, pp. 462-490
The kinetic theory of hydrodynamic modes is developed for a relativistic plasma. Using the Chapman-Enskog method in the case of plane wave disturbances a set of equations is derived describing, on a microscopic basis, the behaviour of small amplitude, low frequency waves. Diffusion and thermal...
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Relativistic Boltzmann theory for a plasma
Van Erkelens, H. - In: Physica A: Statistical Mechanics and its Applications 112 (1982) 1, pp. 331-342
An expression is derived for the mean energy flow of hydromagnetic waves in a relativistic plasma. It is shown that this wave energy flow satisfies a balance equation which relates the space attenuation coefficient of the waves to their entropy production.
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Relativistic Boltzmann theory for a plasma
Van Erkelens, H. - In: Physica A: Statistical Mechanics and its Applications 116 (1982) 3, pp. 499-515
Expressions are given for the space attenuation coefficient of hydromagnetic waves in a relativistic plasma. By taking into account all transport processes known from the Chapman-Enskog procedure a hitherto unnoticed dissipative effect is found. A comparison is made with the attenuation of sound...
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Relativistic Boltzmann theory for a plasma
van Erkelens, H. - In: Physica A: Statistical Mechanics and its Applications 107 (1981) 1, pp. 48-70
The relativistic Landau equation is obtained as the Fokker-Planck approximation to the relativistic Boltzmann equation. It is shown that, as far as the transport coefficients are concerned, both equations yield identical results in the dominant term approximation. Special attention is given to...
Persistent link: https://www.econbiz.de/10011064236
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Relativistic Boltzmann-theory for a plasma
Van Erkelens, H.; Van Leeuwen, W.A. - In: Physica A: Statistical Mechanics and its Applications 101 (1980) 1, pp. 205-222
The complicated twelve-fold collision-integrals occurring in relativistic kinetic theory are reduced to sums of two-fold integrals which can easily be evaluated once the interactions of the particles of the system in question are specified.
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Relativistic Boltzmann-theory for a plasma
van Erkelens, H.; van Leeuwen, W.A. - In: Physica A: Statistical Mechanics and its Applications 91 (1978) 1, pp. 88-98
By applying a variational method expressions are derived for the transport coefficients of a multicomponent mixture of charged particles moving with relativistic speeds.
Persistent link: https://www.econbiz.de/10010585211
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Relativistic Boltzmann theory for a plasma
van Erkelens, H.; van Leeuwen, W.A. - In: Physica A: Statistical Mechanics and its Applications 90 (1978) 1, pp. 97-108
The linear laws pertaining to viscous phenomena are derived for a relativistic plasma in an electromagnetic field. The results found in this microscopic context fit precisely into the general scheme obtained on a macroscopic level by Hooyman, de Groot and Mazur.
Persistent link: https://www.econbiz.de/10010585547
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Relativistic Boltzmann theory for a plasma
Van Erkelens, H.; Van Leeuwen, W.A. - In: Physica A: Statistical Mechanics and its Applications 89 (1977) 1, pp. 113-126
An expression for the entropy production has been derived on the basis of which it is argued that the choice of reference frame as proposed by Landau and Lifshitz is to be preferred rather than any other possibility.
Persistent link: https://www.econbiz.de/10010873292
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Relativistic Boltzmann theory for a plasma
van Erkelens, H.; van Leeuwen, W.A. - In: Physica A: Statistical Mechanics and its Applications 89 (1977) 2, pp. 225-244
The linear or phenomenological laws such as Ohm's law, Fourier's law and Fick's law are derived for a relativistic plasma in an electromagnetic field. It is shown that the choice of a reference frame as proposed by Landau and Lifshitz entails-in contrast to, for instance, the choice of...
Persistent link: https://www.econbiz.de/10010871577
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