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Kinetic Theory.

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Presentation on theme: "Kinetic Theory."— Presentation transcript:

1 Kinetic Theory

2 Particle Distribution Function

3 Density Function ns Number density, mass density, charge density

4 The Boltzmann Equation: time variation of a distribution function

5 Total Derivative in Phase Space

6 Examples of Distribution Functions

7 Maxwellian Distribution Functions

8 One-dimensional Maxwellian, cont’d

9 Thermal speed

10 Equilibrium Distribution
charge x voltage = energy

11 Velocity Moments

12 Bulk flow velocity

13 Pressure tensor

14 Scalar pressure

15 Heat Flux

16 Continuity equation: 0th moment of B-equation

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19 Momentum Equation: 1st moment of B-equation

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23 The momentum equation

24 Pressure Gradient Force

25 Pressure as Thermal Energy Density

26 Charge and Current Densities


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