We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …

A particle's motion in crowded environments often exhibits anomalous diffusion, whose
nature depends on the situation at hand and is formalized within different physical models …

Modern experimental developments in condensed matter and ultracold atom physics
present formidable challenges to theorists. This book provides a pedagogical introduction to …

This volume is the third edition of the first-ever elementary book on the Langevin equation
method for the solution of problems involving the translational and rotational Brownian …

Subdiffusive processes have become a field of great interest in the last decades, due to
amounting experimental evidence of subdiffusive behavior in complex systems, and …

Over the past one hundred years, Brownian motion theory has contributed substantially to
our understanding of various microscopic phenomena. Originally proposed as a …

In this work, the thermodynamic properties of pseudo-harmonic potential in the presence of
external magnetic and Aharanov-Bohm fields are investigated. The effective Boltzmann …

We provide a probabilistic definition of the bed load sediment flux. In treating particle
positions and motions as stochastic quantities, a flux form of the Master equation (a general …

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The pathway model of Mathai [A pathway to matrix-variate gamma and normal densities,
Linear Algebra Appl. 396 (2005) 317–328] is shown to be inferable from the maximization of …