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The study of the fluctuations in the steady state of a heated granular system is
reviewed. A Boltzmann-Langevin description can be built requiring consistency with the
equations for the one- and two-particle correlation functions. From the Boltzmann-Langevin
equation, Langevin equations for the total energy and the transverse velocity field are
derived. The existence of a fluctuation-dissipation relation for the transverse velocity
field is also...
A computer aided method using symbolic computations that enables the calculation of the
source terms (Boltzmann) in Grad’s method of moments is presented. The method is extremely
powerful, easy to program and allows the derivation of balance equations to very high
moments (limited only by computer resources). For sake of demonstration the method is
applied to a simple case: the one-dimensional stationary granular gas under gravity. The
method should...
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