Showing 1 - 10 of 28
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...
Persistent link: https://www.econbiz.de/10010591186
We consider a simple model of annihilation reaction, when particles are located on a regular lattice, one of them presenting a fluctuating activity. Time-correlated fluctuations are addressed. The reaction probability and the reaction function are determined exactly. It is shown that the usual,...
Persistent link: https://www.econbiz.de/10011057556
We study the dynamics of a tracer particle, which performs a totally directed random walk in an adsorbed monolayer composed of mobile hard-core particles undergoing continuous exchanges with a vapour phase. In terms of a mean-field-type approach, based on the decoupling of the...
Persistent link: https://www.econbiz.de/10011058051
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...
Persistent link: https://www.econbiz.de/10011059998
We focus on two models of nearest-neighbour random walks on d-dimensional regular hyper-cubic lattices that are usually assumed to be identical—the discrete-time Polya walk, in which the walker steps at each integer moment of time, and the Montroll–Weiss continuous-time random walk in which...
Persistent link: https://www.econbiz.de/10011057273
Persistent link: https://www.econbiz.de/10010606801
We study the distribution P(\omega) of the random variable \omega = x_1/(x_1 + x_2), where x_1 and x_2 are the wealths of two individuals selected at random from the same tempered Paretian ensemble characterized by the distribution \Psi(x) \sim \phi(x)/x^{1 + \alpha}, where \alpha 0 is the...
Persistent link: https://www.econbiz.de/10009147827
We study the distribution P(ω) of the random variable ω=x1/(x1+x2), where x1 and x2 are the wealths of two individuals selected at random from the same tempered Paretian ensemble characterized by the distribution Ψ(x)∼ϕ(x)/x1+α, where α0 is the Pareto index and ϕ(x) is the cut-off...
Persistent link: https://www.econbiz.de/10011060093
The form of the reaction rates in the birth-and-death formalism of a chemical reaction is obtained by applying the principle of stationarity of the thermodynamic equilibrium distribution.
Persistent link: https://www.econbiz.de/10010874159
By using the spectral theory of the master equation, it is shown generally that a self-catalytic chemical system may evolve according to two widely different time scales in this case. The shorter one describes the evolution towards a quasi-stationary state which is the stochastic equivalent of...
Persistent link: https://www.econbiz.de/10010874301