![Loading...](https://link.springer.com/static/c4a417b97a76cc2980e3c25e2271af3129e08bbe/images/pdf-preview/spacer.gif)
-
Article
On the Derivation of a High-Velocity Tail from the Boltzmann–Fokker–Planck Equation for Shear Flow
Uniform shear flow is a paradigmatic example of a nonequilibrium fluid state exhibiting non-Newtonian behavior. It is characterized by uniform density and temperature and a linear velocity profile U ...
-
Article
Nonlinear Couette Flow in a Low Density Granular Gas
A model kinetic equation is solved exactly for a special stationary state describing nonlinear Couette flow in a low density system of inelastic spheres. The hydrodynamic fields, heat and momentum fluxes, and ...
-
Article
Distribution function for large velocities of a two-dimensional gas under shear flow
The high-velocity distribution of a two-dimensional dilute gas of Maxwell molecules under uniform shear flow is studied. First we analyze the shear-rate dependence of the eigenvalues governing the time evoluti...
-
Article
Does the Gaussian thermostat maximize the phase-space compression factor?
A recent hypothesis of D. J. Evans and A. Baranyai according to which the Gaussian thermostat maximizes the average phase-space compression factor λ in nonequilibrium steady states is analyzed for a dilute gas...
-
Article
Nonlinear transport in a dilute binary mixture of mechanically different particles
The hierarchy of moments of the Boltzmann equation for a binary mixture of mechanically different Maxwell molecules is exactly solved. The solution corresponds to a nonequilibrium homogeneous steady state gene...
-
Article
Radial distribution function for sticky hard-core fluids
Following heuristic arguments, analytic expressions for the radial distribution functiong(r) of one- and three-dimensional sticky hard-core fluids (i.e., square-well fluids in a scaled limit of infinite depth and...
-
Article
Lattice gases with static disorder: Renormalization of mean field theory
Lattice gas automata are used to model transport phenomena in random media with static disorder. If the interactions are repulsive, there is a large probability of backscattering or retracing collision sequenc...
-
Article
Exact solution of the Boltzmann equation in the homogeneous color conductivity problem
An exact solution of the Boltzmann equation for a binary mixture of “colored” Maxwell molecules is found. The solution corresponds to a nonequilibrium homogeneous steady state created by a nonconservative exte...
-
Article
Solution of the BGK model kinetic equation for very hard particle interaction
We study the Bhatnagar-Gross-Krook model kinetic equation with a velocity-dependent collision frequency. We derive the conditions that must be verified in order to keep the main physical properties of the Bolt...