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Boltzmann’s Equation

  • Eleftherios N. EconomouEmail author
Chapter
  • 3.1k Downloads
Part of the Graduate Texts in Physics book series (GTP)

Abstract

The function to be determined by employing Boltzmann’s equation (BE) is the density f(r, k; t) of particles in a 2×D-dimensional phase space; f(r, k, t) is defined by the relation \( dN \equiv (2S+1) \frac{d^{D}rd^{D}k}{(2\pi)^D} f(r, k; t) \), where dN is the number of particles in the phase space volume element dDrdDk around the point r, k at time t. In what follows, we shall assume that the spin s = 1/2 for fermions and s = 1 for bosons. Since we specify both the position, r, and the (crystal) momentum, _k, it is clear that we work within the framework of the semiclassical approximation.

Keywords

Phase Space Wave Vector Linear Response Solid Angle Particle Interaction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Foundation for Research and Technology-Hellas (FORTH) Department of PhysicsUniversity of CreteHeraklionGreece

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