Results 21 to 30 of about 356 (98)

Operational Calculus for the general fractional derivatives with the Sonine kernels

, 2021
30 pages.
openaire   +2 more sources

Self-diffusion in granular gases: Green-Kubo versus Chapman-Enskog

, 2005
We study the diffusion of tracers (self-diffusion) in a homogeneously cooling gas of dissipative particles, using the Green-Kubo relation and the Chapman-Enskog approach. The dissipative particle collisions are described by the coefficient of restitution
Abramowitz M., Ben-Naim E., Resibois P.
core   +1 more source

Dynamics of a tracer granular particle as a non-equilibrium Markov process

, 2005
The dynamics of a tracer particle in a stationary driven granular gas is investigated. We show how to transform the linear Boltzmann equation describing the dynamics of the tracer into a master equation for a continuous Markov process.
Andrea Puglisi, Emmanuel Trizac, Frédéric van Wijland, G. A. Bird, I. Pagonabarraga, Paolo Visco, S. Chapman   +6 more
core   +4 more sources

Transport coefficients from the Boson Uehling-Uhlenbeck Equation

, 2012
We derive microscopic expressions for the bulk viscosity, shear viscosity and thermal conductivity of a quantum degenerate Bose gas above $T_C$, the critical temperature for Bose-Einstein condensation.
Byung Chan Eu, C. J. Pethick, Erich D. Gust, Eugene Merzbacher, L. E. Reichl, L. E. Reichl, S. Chapman, S. J. Putterman, Walter G. Vincenti   +8 more
core   +1 more source

A Remarkable Identity Involving Bessel Functions

, 2011
We consider a new identity involving integrals and sums of Bessel functions. The identity provides new ways to evaluate integrals of products of two Bessel functions.
Dominici, Diego E., Gill, Peter M. W., Limpanuparb, Taweetham   +2 more
core   +1 more source

Gaussian Kinetic Model for Granular Gases

, 2003
A kinetic model for the Boltzmann equation is proposed and explored as a practical means to investigate the properties of a dilute granular gas. It is shown that all spatially homogeneous initial distributions approach a universal "homogeneous cooling ...
A. Goldshtein, Aparna Baskaran, C. Cercignani, G. A. Bird, J. A. McLennan, J. J. Brey, J. J. Brey, J. Javier Brey, J. Javier Brey, J. Javier Brey, J. W. Dufty, James W. Dufty, L. H. Holway, Lorena Zogaib, M. Ernst, M. H. Ernst, T. P. C van Noije, V. Garzó, V. Garzó   +18 more
core   +1 more source

General Fractional Calculus, Evolution Equations, and Renewal Processes

, 2011
We develop a kind of fractional calculus and theory of relaxation and diffusion equations associated with operators in the time variable, of the form $(Du)(t)=\frac{d}{dt}\int\limits_0^tk(t-\tau)u(\tau)\,d\tau -k(t)u(0)$ where $k$ is a nonnegative ...
Kochubei, Anatoly N.
core   +1 more source

Nonequilibrium liquid theory for sheared granular liquids

, 2010
A noneqilibrium liquid theory for uniformly sheared granular liquids is developed starting from the SLLOD Liouville equation. We derive a generalized Green-Kubo formula and also demonstrate that the formulation is essentially independent of the choice of
Chong, Song-Ho, Hayakawa, Hisao, Otsuki, Michio   +2 more
core   +1 more source

Mass transport of driven inelastic Maxwell mixtures

, 2018
Mass transport of a driven granular binary mixture is analyzed from the inelastic Boltzmann kinetic equation for inelastic Maxwell models (IMM).
Garzó, Vicente, Khalil, Nagi
core   +1 more source

Dynamics of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastic particles [PDF]

, 2000
The time dependence of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastically colliding spheres is investigated by kinetic theory. We determine the full time dependence of the coefficients of an expansion around
Brito, R., Huthmann, M., Orza, J. A. G.
core   +2 more sources