We consider the application of Tsallis’ generalized statistical mechanics to systems of quantum particles (fermions or bosons). An approach due to Büyükkiliç et al. to find analytic formulae for quantum distribution functions and its application to generalized blackbody radiation is...

Microscopic simulations of plane Poiseuille flow for a dilute gas are presented. Although the flow is laminar (Reynolds number ≈10) and sub-sonic, the temperature and pressure profiles measured in the simulations differ qualitatively from the hydrodynamic predictions. The results are in...

The kinetic gas theory, like the two-agent money exchange model, recently introduced in the econophysics of wealth distributions, is revisited. The emergence of a Boltzmann–Gibbs-like distribution of money into Pareto's law in the tail of the distribution is examined in terms of a 2×2...

The quasi-equilibrium or maximum entropy approximation is applied in order to derive constitutive equations from kinetic models of polymer dynamics. It is shown in general and illustrated for an example how canonical distribution functions are obtained from the maximum entropy principle, how...

Using Newtonian molecular dynamics we study a gas of inelastic hard disks subject to shear between two planar parallel thermal walls. The system behaves like a Couette flow and it is tuned to produce a steady state that ideally has uniform temperature, uniform density, no energy flux and a...

We consider a non-interacting one-dimensional gas accelerated by a constant and uniform external field. The energy absorbed from the field is transferred via elastic collisions to a bath of scattering obstacles. At gas–obstacle encounters the particles of the gas acquire a fixed kinetic...

A kinetic theory approach is developed from the semiclassical Boltzmann transport equation for the thermotransport of electrons in polar semiconductors in the degenerate limit. The method of moments drives to a set of hydrodynamical equations which are closed up to thirteen relevant variables,...

Some general features of statistical multi-agent economic models are reviewed, with particular attention to the dependence of the equilibrium wealth distribution on the agents’ saving propensities. It is shown that in a finite system of agents with a continuous saving propensity distribution a...

The paper deals with a consistent BGK-type approximation for the Boltzmann-like equations which govern the evolution of a gas undergoing bimolecular chemical reactions. In particular, model equations, specifically devised for physical situations in which chemical relaxation is as fast as...

We have considered a classical system, consisting of particles with centre-of-mass coordinates x∈Rd and equipped with a one-component spin σx∈R1; their pairwise additive interaction potential is defined by W(x,σx,y,σy)=Φ(∥x−y∥)−J(∥x−y∥)σxσy, where Φ(∥x−y∥) contains...