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Renormalization group and instantons in stochastic nonlinear dynamics

2009
142 pages
Published in:
  • Eur.Phys.J.ST 170 (2009) 1-142
DOI:
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Abstract: (Springer)
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 o n 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.
  • review
  • renormalization group
  • field theory: nonperturbative
  • stochastic
  • turbulence
  • dynamical system
  • instanton
  • fluid
  • Higgs model: abelian
  • fixed point
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