Advanced field-theoretical methods in stochastic dynamics and theory of developed turbulence

• DOI: 10.48550/arxiv.1611.06741
• Publication Date: 2016-01-01
• Authors: M. Hnatich; Juha Honkonen; T. Lučivjanský
• Keywords: Multiplicative noise; Functional renormalization group

Selected recent contributions involving fluctuating velocity fields to the rapidly developing domain of stochastic field theory are reviewed. Functional representations for solutions differential equations and master worked out in detail with an em- phasis on multiplicative noise inherent ambiguity functional method. Application models isotropic turbulence multi-parameter expansions regulators dimensional analytic renormalization is surveyed. Effects choice scheme investigated. Special attention paid role properties minimal subtraction scheme. Analysis consequences symmetry breaking use renormalization-group method demonstrated by effects due helicity, strong weak anisotropy. A careful description given influence turbulent advection paradigmatic reaction-diffusion problems.