Transport coefficients for the hard-sphere granular fluid
نویسندگان
چکیده
منابع مشابه
Transport coefficients for the hard-sphere granular fluid.
In the preceding paper, linear response methods have been applied to obtain formally exact expressions for the parameters of Navier-Stokes order hydrodynamics. The analysis there is general, applying to both normal and granular fluids with a wide range of collision rules. Those results are specialized here to the case of smooth, inelastic, hard spheres with constant coefficient of normal restit...
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Results are presented of a systematic study of the transport properties of the rough hard sphere fluid. The rough hard sphere fluid is a simple model consisting of spherical particles that exchange linear and angular momenta, and energy upon collision. This allows a study of the sole effect of particle rotation upon fluid properties. Molecular dynamics simulations have been used to conduct exte...
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The response functions for small spatial perturbations of a homogeneous granular fluid have been described recently. In appropriate dimensionless variables, they have the form of stationary state time correlation functions. Here, these functions are expressed in terms of reduced single particle functions that are expected to obey a linear kinetic equation. The functional assumption required for...
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– We present generalized Green-Kubo expressions for thermal transport coefficients μ in non-conservative fluid-type systems, of the generic form μ = μ∞+ ∫ ∞ 0 dtV −1〈I exp[tL]I〉0, where exp[tL] is a pseudo-streaming operator. It consists of a sum of an instantaneous transport coefficient μ∞, and a time integral over a time correlation function in a state of thermal equilibrium between a current...
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We examine the dependence on spatial dimension D of the Mayer cluster integrals that determine the virial coefficients B, for a fluid of rigid hyperspheres. The integrals vary smoothly with D, and can be characterized analytically in both the low-D and high-D limits. Dimensional interpolation (DI) allows one to evaluate individual Mayer cluster integrals at D = 2 and D = 3 to within about 1%. T...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2008
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.77.031311