We consider a one-dimensional system consisting of two infinite ideal fluids, with equal pressures but different temperatures T1 and T2, separated by an adiabatic movable piston whose mass M is much larger than the mass m of the fluid particles. This is the infinite version of the controversial...

The time evolution of the adiabatic piston problem and the consequences of its stochastic motion are investigated. The model is a one-dimensional piston of mass M separating two ideal fluids made of point particles with mass m⪡M. For infinite systems it is shown that the piston evolves very...

A lattice system of electrons in the presence of an external potential and under the influence of a magnetic field is considered. The energy of the electrons is given by the Falicov-Kimball hamiltonian, where the ions give the external potential. The problem is to find the configurations of ions...

The behaviour of the transport coefficients of a Van der Waals fluid is studied in the one-phase region along the critical isochore of the liquid-vapour phase transition. When ϵ=(T−Tc)Tc→0 the strongest singularity is found in the case of the bulk viscosity (−ϵ−2). The divergence of...

An exact equation describing the stochastic motion of a droplet of neighbouring equal mass hard points with velocities ±c, immerzed in a hard point fluid, is derived. The derivation generalizes Resibois' idea originally applied to the study of self-diffusion. The explicit solution for a...

We consider a one-dimensional system consisting of a granular tracer particle of mass M in a bath of thermalized particles each of mass m. When the mass ratio, M/m, is equal to the coefficient of restitution, α, the system maps to a one-dimensional elastic gas. In this case the Boltzmann...

The evolution of the one-particle distribution for a homogeneous system of hard spheres is studied. The terms in the formal density expansion of the collision operator which correspond to the class of hard sphere dynamical events involving one binary collision, the influence of other particles...

The initial value problem for the linear Boltzmann equation describing the propagation of neutrinos in a medium composed of nuclei is rigorously solved. The structure of the equation corresponds to the Lorentz model with an angle-dependent scattering cross-section. A method yielding the rigorous...

We consider a fluid composed of inelastic hard spheres moving in a thermostat modelled by a hard sphere gas. The losses of energy due to inelastic collisions are balanced by the energy transfer via elastic collisions from the thermostat particles. The resulting stationary state is analysed...