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patt-solAug 21, 1996
20
citations (OpenAlex)
authors
  • Shin-ichi Sasa
institutions
  • The University of Tokyo
  • University of Illinois Urbana-Champaign
arXiv abstractPDF
paper

Renormalization Group Derivation of Phase Equations

arXiv:patt-sol/9608008 · doi:10.1016/S0167-2789(97)82004-0

Abstract

Phase equations describing the evolution of large scale modulation of spatially periodic patterns in two dimensional systems are derived by employing the renormalization group method. A general formula for phase diffusion coefficients is given under certain conditions.

25 pages, revtex

References in corpus (1)

  • Systematic derivation of a rotationally covariant extension of the 2-dimensional Newell-Whitehead-Segel equation

Cited by in corpus (8)

  • Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model
  • Renormalization-group Method for Reduction of Evolution Equations; invariant manifolds and envelopes
  • Renormalization group approach to multiscale modelling in materials science
  • Collective phase description of oscillatory convection
  • Dynamical Reduction of Discrete Systems Based on the Renormalization Group Method
  • Renormalization Group Approach to Cosmological Back Reaction Problems
  • Renormalization of Long-wavelength Solution of Einstein Equation
  • Derivation of Non-isotropic Phase Equations from a General Reaction-Diffusion Equation
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