Phase dynamics with drift: boundary effects

✍ Scribed by Yves Pomeau

• Book ID: 104296820
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 68 KB
• Volume: 184
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(03)00224-0

✦ Synopsis

The description of patterns in nonequilibrium systems is a fascinating subject. It becomes somewhat untractable if one insists to keep the original equations in their complete form, as the Oberbeck-Boussinesq equations for instance in Rayleigh-Bénard convection. Various reduction scheme have been imagined, the ultimate one being the phase picture. I examine a simple version of the phase equation, relevant for systems of travelling rolls or for distributed self-oscillations. The boundary effects limit the ability of this phase to drift freely and yields a well-defined space structure, which can be analyzed in two different limits.