Tsallis distribution functions are shown to arise in the case of charged particles in electric and magnetic fields, inelastically interacting with a medium. Explicit results for Maxwell and hard-sphere interactions are provided. The mean energy and the components of the current density are...

Meixner-Prigogine scheme of linear non-equilibrium thermodynamics is reproduced for the first time within the framework of general relativity for static space-times. Heat and motion equations are built using two fundamental assumptions: conservation laws are true, and local thermodynamical...

ABSTRACT: Most natural phenomena are subject to small variations in the environment within which they take place; data gathered from many runs of the same experiment may well show differences that are most suitably accounted for by a model that incorporates some randomness. Differential equations...

Most natural phenomena or the experiments that explore them are subject to small variations in the environment within which they take place. As a result, data gathered from many runs of the same experiment may well show differences that are most suitably accounted for by a model that...

Due to errors in measurements and inherent variability in the quantities of interest, models based on random differential equations give more realistic results than their deterministic counterpart. The generalized polynomial chaos (gPC) is a powerful technique used to approximate the solution of...

Although it is well known that Markov process theory, frequently applied in the literature on income convergence, imposes some very restrictive assumptions upon the data generating process, these assumptions have generally been taken for granted so far. The present paper proposes, resp. recalls...