Instanton solutions in the problem of wrinkled flame-front dynamics

D. Volchenkov; R. Lima

doi:10.1103/PhysRevE.64.011204

Instanton solutions in the problem of wrinkled flame-front dynamics

D. Volchenkov, R. Lima

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A pseudorandom forced analogue of the equation governing the slope function dynamics of the wrinkled flames propagated through an infinitely wide channel by the field-theory methods is addressed. Focus is on the asymptotic solutions of the stochastic problem based on the slope function equation. It is demonstrated that the main contribution to the statistics of slope is given by coupled field-force configurations called the instantons.

Original language	English
Article number	011204
Pages (from-to)	1-8
Number of pages	8
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	64
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.64.011204
State	Published - Jul 1 2001

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10.1103/PhysRevE.64.011204

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abstract = "A pseudorandom forced analogue of the equation governing the slope function dynamics of the wrinkled flames propagated through an infinitely wide channel by the field-theory methods is addressed. Focus is on the asymptotic solutions of the stochastic problem based on the slope function equation. It is demonstrated that the main contribution to the statistics of slope is given by coupled field-force configurations called the instantons.",

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AB - A pseudorandom forced analogue of the equation governing the slope function dynamics of the wrinkled flames propagated through an infinitely wide channel by the field-theory methods is addressed. Focus is on the asymptotic solutions of the stochastic problem based on the slope function equation. It is demonstrated that the main contribution to the statistics of slope is given by coupled field-force configurations called the instantons.

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Instanton solutions in the problem of wrinkled flame-front dynamics

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