Kinetic Theory.

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Presentation transcript:

Kinetic Theory

Particle Distribution Function

Density Function ns Number density, mass density, charge density

The Boltzmann Equation: time variation of a distribution function

Total Derivative in Phase Space

Examples of Distribution Functions

Maxwellian Distribution Functions

One-dimensional Maxwellian, cont’d

Thermal speed

Equilibrium Distribution charge x voltage = energy

Velocity Moments

Bulk flow velocity

Pressure tensor

Scalar pressure

Heat Flux

Continuity equation: 0th moment of B-equation

Momentum Equation: 1st moment of B-equation

The momentum equation

Pressure Gradient Force

Pressure as Thermal Energy Density

Charge and Current Densities

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