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ANOMALOUS CURRENT IN PERIODIC LORENTZ GASES WITH INFINITE HORIZON
PERIODIC LORENTZ GASES INFINITE HORIZON
2015/9/29
We study electrical current in two-dimensional periodic Lorentz gas in the presence of a weak homogeneous etric field.When the horizon is finite, i.e. the free flights between
colli...
Formation of singularities in solutions to ideal hydrodynamics of freely cooling inelastic gases
Formation of singularities hydrodynamics freely cooling inelastic gases
2011/8/23
Abstract: We consider solutions to the hyperbolic system of equations of ideal granular hydrodynamics with conserved mass, total energy and finite momentum of inertia and prove that these solutions ge...
Quantum Coulomb Gases
2011/2/25
Ordinarymatter is composed of electrons (negatively charged) and nuclei (positively charged) interacting via electromagnetic forces. The electric potential between two such particles of charges Q and ...
Wave Speed in the Macroscopic Extended Model for Ultrarelativistic Gases
Wave Speed Macroscopic Extended Model Ultrarelativistic Gases
2011/1/19
An exact macroscopic extended model for ultrarelativistic gases,with an arbitrary number of moments, is present in the literature.Here we exploit equations determining wave speeds for that model.We fi...
On the viscosity to entropy density ratio for unitary Bose and Fermi Gases
entropy density unitary Bose Fermi Gases
2011/3/4
We calculate the ratio of the viscosity to the entropy density for both Bose and Fermi gases in the unitary limit using a new approach to the quantum statistical mechanics of gases based on the S-matr...
Finite dimensional global and exponential attractors for a coupled time-dependent Ginzburg-Landau equations for atomic Fermi gases near the BCS-BEC crossover
Finite dimensional global exponential attractors
2010/11/9
We study a coupled nonlinear evolution system arising from the Ginzburg-Landau theory for atomic Fermi gases near the BCS-BEC crossover. First, we prove that the initial boundary value problem genera...
Large deviation principles for non gradient weakly asymmetric stochastic lattice gases
deviation principles gradient weakly lattice gases
2010/11/11
We consider a lattice gas on the discrete d-dimensional torus (Z/NZ)^d with a generic translation invariant, finite range interaction satisfying a uniform strong mixing condition. The lattice gas perf...
Equilibration, generalized equipartition, and diffusion in dynamical Lorentz gases
Equilibration generalized equipartition diffusion dynamical Lorentz gases
2010/12/15
We prove approach to thermal equilibrium for the fully Hamiltonian dynamics of a dynamical Lorentz gas, by which we mean an ensemble of particles moving through a d-dimensional array of fixed soft sca...
From the Kinetic Theory of Gases to Continuum Mechanics
Hydrodynamic limits, Kinetic models Boltzmann equation Entropy production Euler equations Navier-Stokes equations
2010/12/10
Recent results on the fluid dynamic limits of the Boltzmann equation based on the DiPerna-Lions theory of renormalized solutions are reviewed in this paper, with an emphasis on regimes where the veloc...
Canonical and grand canonical partition functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realization
partition functions integrable hierarchies Dyson gases
2010/4/2
The partition function for a canonical ensemble of 2D Coulomb charges in a background potential (the Dyson gas) is realized as a vacuum expectation value of a group-like element constructed in terms o...
Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases
Chaplygin gases compressible Euler equations irrotational flow null condition Cauchy problem smooth solution
2018/4/20
In this paper we investigate the two-dimensional compressible isentropic Euler equations for Chaplygin gases. Under the assumption that the initial data is close to a constant state and the vorticity ...