The distribution of the initial very short-time displacements of a single particle is considered for a class of classical systems with Gaussian initial velocity distributions and arbitrary initial particle positions. A very brief sketch is given of a rather intricate and lengthy proof that for...

Sedimentation of a dilute disordered suspension of spherical particles in a viscous incompressible fluid is studied in the limit of low Reynolds number. The static structure factor and the velocity correlation functions of the suspended particles are shown to exhibit screening for a class of...

The standard Potts model is investigated in the framework of nonextensive statistical mechanics. We performed Monte Carlo simulations on two-dimensional lattices with linear sizes ranging from 16 to 64 using the Metropolis algorithm, where the classical Boltzmann–Gibbs transition probabilities...

We study a thermochemical system at different description levels. The results of the mesosocopic description based on the master equation and microscopic simulations of the particle dynamics show deviations from the deterministic predictions. Fluctuation effects observed in the vicinity of...

A large variety of nonlinear systems have been treated by a common approach that emphasizes the fluctuation of spatial patterns. By using the same method of analysis it is possible to discuss the chaotic behaviors of quark jets and logistic map in the same language. Critical behaviors of...

We derive and study quasicanonical Gibbs distribution function which is characterized by the thermostat with finite number of particles (quasithermostat). We show that this naturally leads to Tsallis non-extensive statistics and thermodynamics, with Tsallis parameter q is found to be related to...

We apply a recently developed wavelet based approach to characterize the correlation and scaling properties of non-stationary financial time series. This approach is local in nature and it makes use of wavelets from the Daubechies family for detrending purpose. The built-in variable windows in...