Reference : Lattice models for granular-like velocity fields: hydrodynamic description
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Lattice models for granular-like velocity fields: hydrodynamic description
Manacorda, Alessandro mailto [Università degli Studi di Roma "La Sapienza"]
Plata, Carlos A []
Lasanta, Antonio []
Prados, Antonio []
Puglisi, Andrea []
Journal of Statistical Physics
Yes (verified by ORBilu)
United States
[en] A recently introduced model describing—on a 1d lattice—the velocity field of a granular fluid is discussed in detail. The dynamics of the velocity field occurs through next-neighbours inelastic collisions which conserve momentum but dissipate energy. The dynamics is described through the corresponding Master Equation for the time evolution of the probability distribution. In the continuum limit, equations for the average velocity and temperature fields with fluctuating currents are derived, which are analogous to hydrodynamic equations of granular fluids when restricted to the shear modes. Therefore, the homogeneous cooling state, with its linear instability, and other relevant regimes such as the uniform shear flow and the Couette flow states are described. The evolution in time and space of the single particle probability distribution, in all those regimes, is also discussed, showing that the local equilibrium is not valid in general. The noise for the momentum and energy currents, which are correlated, are white and Gaussian. The same is true for the noise of the energy sink, which is usually negligible

File(s) associated to this reference

Fulltext file(s):

Open access
1601.01617.pdfAuthor preprint8.02 MBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.