Renormalization group method applied to kinetic equations: Roles of initial values and time

DOI10.1006/aphy.2002.6234zbMath0995.81073arXivhep-th/0108159OpenAlexW2033377709MaRDI QIDQ699050

Yoshitaka Hatta, Teiji Kunihiro

Publication date: 1 October 2002

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0108159

zbMATH Keywords

Fokker-Planck equationBoltzmann equationtransport equationscoarse-graining of the time-derivativemicroscopic distribution functiontime-irreversible equations

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Renormalization group methods in equilibrium statistical mechanics (82B28) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Time-dependent percolation in statistical mechanics (82C43)

Related Items

The renormalization method based on the Taylor expansion and applications for asymptotic analysis, Causal hydrodynamics from kinetic theory by doublet scheme in renormalization-group method, Dynamical renormalization group approach to relaxation in quantum field theory., Derivation of covariant dissipative fluid dynamics in the renormalization-group method

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The Fokker-Planck equation. Methods of solution and applications.
• Renormalization group and the Ginzburg-Landau equation
• A geometrical formulation of the renormalization group method for global analysis. II: Partial differential equations
• Statistical physics II. Nonequilibrium statistical mechanics.
• Renormalization-group method for reduction of evolution equations; invariant manifolds and envelopes.
• On the theory of optimal control. Sufficient coordinates
• THE BOLTZMANN EQUATION IS A RENORMALIZATION GROUP EQUATION
• Brownian motion in a field of force and the diffusion theory of chemical reactions
• Statistical-Mechanical Theory of Transport in Fluids
• Correlation Function Method for Transport Phenomena
• Note on the derivation of the Boltzmann equation from the Liouville equation
• Brownian Motion of a Quantum Oscillator
• Renormalization group and asymptotics of solutions of nonlinear parabolic equations
• Renormalization Group Theory for Global Asymptotic Analysis
• A Renormalization Group Method for Nonlinear Oscillators
• Stochastic Liouville Equations
• Brownian motion in a field of force and the diffusion model of chemical reactions
• Handbook of stochastic methods for physics, chemistry and the natural sciences.