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Theory of thermostatted inhomogeneous granular fluids: A self-consistent density functional description (Articolo in rivista)

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Theory of thermostatted inhomogeneous granular fluids: A self-consistent density functional description (Articolo in rivista) (literal)

Anno

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Alternative label

Umberto Marini-Bettolo-Marconi (1); Pedro Tarazona (2); Fabio Cecconi (3) (2007)
Theory of thermostatted inhomogeneous granular fluids: A self-consistent density functional description
in Journal of chemical physics online; AIP, American institute of physics, Melville, NY (Stati Uniti d'America)
(literal)

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Umberto Marini-Bettolo-Marconi (1); Pedro Tarazona (2); Fabio Cecconi (3) (literal)

Pagina inizio

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http://scitation.aip.org/content/aip/journal/jcp/126/16/10.1063/1.2723744 (literal)

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Note

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(1) Dipartimento di Fisica, Via Madonna delle Carceri, 68032 Camerino (MC), Italy (2) Departamento de Fisica Teórica de la Materia Condensada, Universidad Autonoma de Madrid, E-28049 Madrid, Spain and Instituto Nicolás Cabrera, Universidad Autonoma de Madrid, E-28049 Madrid, Spain (3) INFM Center for Statistical Mechanics and Complexity, and Institute for Complex Systems, CNR, Via dei Taurini 19, 00182 Rome, Italy (literal)

Titolo

Theory of thermostatted inhomogeneous granular fluids: A self-consistent density functional description (literal)

Abstract

The authors present a study of the nonequilibrium statistical properties of a one dimensional hard-rod fluid dissipating energy via inelastic collisions and subject to the action of a Gaussian heat bath, simulating an external driving mechanism. They show that the description of the fluid based on the one-particle phase-space reduced distribution function, in principle necessary because of the presence of velocity dependent collisional dissipation, can be contracted to a simpler description in configurational space. Indeed, by means of a multiple-time-scale method the authors derive a self-consistent governing equation for the particle density distribution function. This equation is similar to the dynamic density functional equation employed in the study of colloids, but contains additional terms taking into account the inelastic nature of the fluid. Such terms cannot be derived from a Liapunov generating functional and contribute not only to the relaxational properties, but also to the nonequilibrium steady state properties. A validation of the theory against molecular dynamics simulations is presented in a series of cases, and good agreement is found. (c) 2007 American Institute of Physics. (literal)

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