Renormalization group and instantons in stochastic nonlinear dynamics

Research output: Contribution to journalReview article

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Abstract

Stochastic counterparts of nonlinear dynamics are studied by means of nonperturbative functional methods developed in the framework of quantum field theory (QFT). In particular, we discuss fully developed turbulence, including leading corrections on possible compressibility of fluids, transport through porous media, theory of waterspouts and tsunami waves, stochastic magneto-hydrodynamics, turbulent transport in crossed fields, self-organized criticality, and dynamics of accelerated wrinkled flame fronts advancing in a wide canal. This report would be of interest to the broad auditorium of physicists and applied mathematicians, with a background in nonperturbative QFT methods or nonlinear dynamical systems, having an interest in both methodological developments and interdisciplinary applications.

Original languageEnglish
Pages (from-to)1-142
Number of pages142
JournalEuropean Physical Journal: Special Topics
Volume170
Issue number1
DOIs
StatePublished - 2009

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