Probabilistic approach to pattern selection

V.I. Yukalov

Physica A: Statistical Mechanics and its Applications, 2001, vol. 291, issue 1, 255-274

Abstract: The problem of pattern selection arises when the evolution equations have many solutions, whereas observed patterns constitute a much more restricted set. An approach is advanced for treating the problem of pattern selection by defining the probability distribution of patterns. Then the most probable pattern naturally corresponds to the largest probability weight. This approach provides the ordering principle for the multiplicity of solutions explaining why some of them are more preferable than others. The approach is applied to solving the problem of turbulent photon filamentation in resonant media.

Keywords: Problem of pattern selection; Turbulent photon filamentation (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:291:y:2001:i:1:p:255-274

DOI: 10.1016/S0378-4371(00)00517-3

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