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Journal of Statistical Physics

, Volume 177, Issue 4, pp 608–625 | Cite as

Intermittent Waiting-Time Noises Through Embedding Processes

  • Isaias McHardy
  • Marco Nizama
  • Adrian A. Budini
  • Manuel O. CáceresEmail author
Article
  • 39 Downloads

Abstract

An intermittent two-state noise can be modelled through a renewal process characterized by two different time scales. A (four state) Markovian embedding of this non-Markovian process is presented. The equivalence between the renewal approach and the enlarged master equation is shown. Analytical results for n-time moments of the intermittent dichotomic noise are obtained. The Monte Carlo simulations supports our analytical results. The advantage of using the enlarged master equation for calculating higher order moments is established.

Keywords

Intermittent noise Waiting-time problem Non-Markov Dichotomous noise 

Notes

Funding

Funding was provided by CONICET (Grant No. PIP 112-201501-00216, CO).

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.CONICET, Centro Atómico BarilocheBarilocheArgentina
  2. 2.Departamento de FísicaUniversidad Nacional del Comahue and CONICETNeuquénArgentina
  3. 3.Universidad Tecnológica Nacional (UTN-FRBA)BarilocheArgentina
  4. 4.Centro Atómico Bariloche, CNEA, and Instituto Balseiro and CONICETBarilocheArgentina

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