Systematic Derivation of a Rotationally Covariant Extension of the Two-Dimensional Newell-Whitehead-Segel Equation

1996/03/14 by Robert Graham
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Protein Structure and Dynamics #nlin.PS #patt-sol

paper · pdf · doi:10.1103/physrevlett.76.2185

8 pages, to appear in Phys. Rev. Letters, March 18, 1996

arxiv created 1996/03/14 · openalex publication_date 1996/03/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

An extension of the Newell-Whitehead-Segel amplitude equation covariant under abritrary rotations is derived systematically by the renormalization group method.

Citations

• Structural stability and renormalization group for propagating fronts
• Hydrodynamic fluctuations at the convective instability