Simple examples of multiplicative random walks are considered in which the random variable X is multiplied by a given scaling factor at each step of the process. Several cases are analyzed, either pure or disordered, showing how the disorder can affect the variation in time of various...

We investigate the equilibrium value and the approach to equilibrium of a particle in a symmetric double-well potential and subjected to dissipation, within the model of Caldeira and Leggett, Ann. Phys. (N.Y.) 149 (1983) 374, but without the ohmic assumption. For subohmic friction, the critical...

We have investigated the kinetics of excitation in the frame of the conventional Pauli master equation for a molecular aggregate with a decay channel attached to one distinguished molecule (or site). As a principally new feature we assume the rate of probability flow through the decay channel to...

An analytical study is presented for the asymmetric FGZ reaction model, involving two different species A and B (only B can spontaneously desorb) in contact with a bath containing A and B with the same concentration. The expected values of the density and the pair correlation functions are...