Search results for "Plasma modeling"

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Derivation of transient relativistic fluid dynamics from the Boltzmann equation

2012

In this work we present a general derivation of relativistic fluid dynamics from the Boltzmann equation using the method of moments. The main difference between our approach and the traditional 14-moment approximation is that we will not close the fluid-dynamical equations of motion by truncating the expansion of the distribution function. Instead, we keep all terms in the moment expansion. The reduction of the degrees of freedom is done by identifying the microscopic time scales of the Boltzmann equation and considering only the slowest ones. In addition, the equations of motion for the dissipative quantities are truncated according to a systematic power-counting scheme in Knudsen and inve…

PhysicsHigh Energy Physics - TheoryNuclear and High Energy Physicsta114Nuclear TheoryDegrees of freedom (physics and chemistry)Lattice Boltzmann methodsEquations of motionFOS: Physical sciencesMethod of moments (statistics)Plasma modelingBoltzmann equationNuclear Theory (nucl-th)Physics::Fluid DynamicsHigh Energy Physics - PhenomenologyClassical mechanicsHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Direct simulation Monte CarloKnudsen number
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On the existence of kinetic equations

1974

The existence of the Boltzmann equation and its generalizations is studied by analysing the order of magnitude of their terms. As a consequence we conclude that the reduced distribution functions are not analytic in the density.

Physicssymbols.namesakeDifferential equationLattice Boltzmann methodssymbolsStatistical mechanicsPoisson–Boltzmann equationPlasma modelingBoltzmann equationMaxwell–Boltzmann distributionBoltzmann distributionMathematical physicsIl Nuovo Cimento B Series 11
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