Renormalization group and instantons in stochastic nonlinear dynamics
From self-organized criticality to thermonuclear reactorsD. Volchenkov
Center of Excellence Cognitive Interaction Technology (CITEC), Universität Bielefeld, Postfach 10 01 31, 33501 Bielefeld, Germany
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.
© EDP Sciences, Springer-Verlag 2009