Theory of external two-state Markov noise in the presence of internal fluctuations
type: Item
instance of: scholarly article
title: Theory of external two-state Markov noise in the presence of internal fluctuations
zbMATH Open document ID: 0587.60100
DOI: 10.1007/BF01012909
published in: Journal of Statistical Physics
publication date: 1984-01-01T00:00:00Z
review text: A theory is presented to take into account internal fluctuations in the study of stochastically driven systems. Internal fluctuations are modeled by a master equation in which external noise is introduced. External noise is modeled by a two-state Markov process. A unified theory of internal and external fluctuations is described in terms of an effective integrodifferential master equation or its equivalent generating function representation. Two examples for which exact analytical results can be obtained are presented. A discussion of the white noise limit of the theory is also given.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 60J70
zbMATH DE Number: 3942685
zbMATH Keywords: finite size effects
zbMATH Keywords: statistical mechanics
zbMATH Keywords: internal fluctuations
zbMATH Keywords: stochastically driven systems
zbMATH Keywords: master equation
author: José M. Sancho
author: Miguel San Miguel
MaRDI profile type: Publication
cites work: Noise-induced transitions. Theory and applications in physics, chemistry, and biology
cites work: Phase diagrams of noise induced transitions -- exact results for a class of external coloured noise.
cites work: Systems under the influence of white and colored Poisson noise
cites work: Q5574500
cites work: Q4127703
cites work: Q4138569
cites work: The Poisson representation. I: A new technique for chemical master equations
cites work: Asymptotic properties of Markovian master equations
full work available at URL: https://doi.org/10.1007/bf01012909
OpenAlex ID: W2070456147
description: scientific article; zbMATH DE number 3942685