In this work we develop a semiclassical kinetic model to construct hydrodynamic equations to study the nonequilibrium behavior of an electron gas in a semiconductor. To describe the system we assume that the Boltzmann transport equation is valid and we solve it in terms of the first 13 moments,...

Using the Langevin approach and the multiscale technique, a kinetic theory of the time and space non-local fluctuations in the collisional plasma is constructed. In local equilibrium a generalized version of the Callen–Welton theorem is derived. It is shown that not only the dissipation but...

We derive the stationary probability density for nonlinear dynamical system driven by white Gaussian noise and Markovian dichotomous noise. General results are applied to analysis of Brownian motion in two switching piece-wise linear potential profiles, namely in a rectangular potential well and...

We present a comparative study of several dynamical systems of increasing complexity, namely, the logistic map with additive noise, one, two and many globally coupled standard maps, and the Hamiltonian mean field model (i.e., the classical inertial infinitely ranged ferromagnetically coupled XY...

Phase-space Lagrangian dynamics in ideal fluids (i.e., continua) is usually related to the so-called ideal tracer particles. The latter, which can in principle be permitted to have arbitrary initial velocities, are understood as particles of infinitesimal size which do not produce significant...

Known governing equations for transport phenomena predict infinite speed of perturbations propagation. From molecular point of view, infinite speed of perturbations propagation does not seem to be a reasonable physical assumption, because for instance in a gas, any perturbation propagates as a...

This contribution is dedicated to elucidating the role of the Gibbs entropy in the discussion of the emergence of irreversibility in the macroscopic world from the microscopic level. By using an extension of the Onsager theory to the phase space we obtain a generalization of the Liouville...

An inverse kinetic theory applying specifically to incompressible Newtonian fluids which permits us to avoid the N2 algorithmic complexity of the Poisson equation for the fluid pressure is presented. The theory is based on the construction of a suitable kinetic equation in phase space, which...

The ubiquity of portable wireless-enabled computing and communications devices has stimulated the emergence of malicious codes (wireless worms) that are capable of spreading between spatially proximal devices. The potential exists for worms to be opportunistically transmitted between devices as...

Entropy as a measure of complexity in the systems has been applied for ranking the words in the human written texts. We introduce a novel approach to evaluate accuracy for retrieved indices. We also have an illustrative comparison between proposed entropic metrics and some other methods in...