Systematic derivation of a rotationally covariant extension of the 2-dimensional Newell-Whitehead-Segel equation
arXiv:patt-sol/9603004 · doi:10.1103/PhysRevLett.76.2185
Abstract
An extension of the Newell-Whitehead-Segel amplitude equation covariant under abritrary rotations is derived systematically by the renormalization group method.
8 pages, to appear in Phys. Rev. Letters, March 18, 1996
References in corpus (3)
Cited by in corpus (16)
- Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model
- Renormalization group theory for the phase field crystal equation
- Renormalization-group Method for Reduction of Evolution Equations; invariant manifolds and envelopes
- Phase-field-crystal study of grain boundary premelting and shearing in bcc iron
- Amplitude equations for polycrystalline materials with interaction between composition and stress
- Renormalization group approach to multiscale modelling in materials science
- Structural short-range forces between solid-melt interfaces
- Non-linear elastic effects in phase field crystal and amplitude equations: Comparison to ab initio simulations of bcc metals and graphene
- Renormalization Group Derivation of Phase Equations
- Dynamical Reduction of Discrete Systems Based on the Renormalization Group Method
- Instabilities of Hexagonal Patterns with Broken Chiral Symmetry
- Modeling of grain boundary dynamics using amplitude equations
- Derivation of Amplitude Equations by Renormalization Group Method
- Period Stabilization in the Busse-Heikes Model of the Kuppers-Lortz Instability
- Solution of reduced equations derived with singular perturbation methods
- Renormalization Group Method and Reductive Perturbation Method