Some Aspects of the Boltzmann Equation for a Granular Gas
FLORIDA UNIV GAINESVILLE DEPT OF PHYSICS
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The Boltzmann equation for a gas of smooth, inelastic hard spheres is introduced and its homogeneous solution for an isolated system is discussed. The possibility of hydrodynamic excitations is explored using the linearized Boltzmann equation for small spatial perturbations of the homogeneous state. It is shown that the spectrum of the generator for this linear dynamics contains five points at long wavelengths that are the origin of hydrodynamic excitations. With this knowledge, response functions are introduced that allow the formal derivation of linear hydrodynamic equations and associated Green-Kubo expressions for the transport coefficients at Navier-Stokes order.
- Operations Research