Europhys. Lett., 71 (4), pp. 530-535 (2005)
DOI: 10.1209/epl/i2005-10120-5

Coherence resonances in an autonomous thermochemical model with internal fluctuations

A. Lemarchand¹ and B. Nowakowski<sup>2, 3

1</sup>  Université Pierre et Marie Curie, Laboratoire de Physique Théorique des Liquides CNRS UMR 7600 - 4 place Jussieu, 75252 Paris Cedex 05, France
²  Institute of Physical Chemistry, Polish Academy of Sciences Kasprzaka 44/52, 01-224 Warsaw, Poland
³  Physics Laboratory, Warsaw University of Agriculture Nowoursynowska 159, 02-776 Warsaw, Poland

received 14 February 2005; accepted 20 June 2005
published online 20 July 2005

Abstract
Direct simulations of the master equation associated with a two-variable homogeneous thermochemical model are performed in order to analyze the effects of internal fluctuations on excitability and periodic oscillations. In both regimes, coherence resonances are observed in the absence of external noise and external forcing. These results suggest that the control of the combustion of lean premixed gas requires a stochastic description at a mesoscopic level.

PACS
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
82.33.Vx - Reactions in flames, combustion, and explosions.
82.40.Bj - Oscillations, chaos, and bifurcations.

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