We study the kinetics of diffusion-controlled A+B→B reactions, in which both species are moving randomly on a d-dimensional lattice and react upon encounters, provided that both species are in reactive states. Particles’ reactivity fluctuates randomly between active and passive forms. We...

The stochastic kinetics of a bistable chemical reaction is studied in the birth and death formalism. An elementary perturbation technique allows to estimate the first two nontrivial eigenvalues μ1 and μ2 of the evolution matrix and the corresponding engenvectors. This shows that once a...

An exact equation describing the stochastic motion of a droplet of neighbouring equal mass hard points with velocities ±c, immerzed in a hard point fluid, is derived. The derivation generalizes Resibois' idea originally applied to the study of self-diffusion. The explicit solution for a...

The relations between information, entropy and energy, which are well known in equilibrium thermodynamics, are not clear far from equilibrium. Moreover, the usual expression of the classical thermodynamic potentials is only valid near equilibrium. In previous publications, we showed for a...

In this article, we build a self consistent mean field deterministic model for the muscular contraction. The two main variables are the number of free myosin heads and the number of myosin heads attached to the actin, just after attachment. The model is natural in the sense that it respects the...

The Boltzmann equations for a formal bimolecular chemical reaction in homogeneous gas phase are transformed into an infinite system of quadratic differential equations, by expanding the distribution functions of the molecules into the Grad polynomials. The properties of these expanded Boltzmann...

The general results of article I on the stochastic representation of the macroscopic stationary state of a self-catalytic chemical system are applied to a step-by-step chemical reaction. The relaxation times to the quasi-stationary state and to the final stationary state are computed by...

The best way of finding a hidden target is a general question which concerns many fields of natural and social sciences. It is of vital importance for foraging animals. It has been observed that many species adopt an intermittent behaviour, alternating phases of intensive search and slow...