Universal algebraic relaxation of velocity and phase in pulled fronts generating periodic or chaotic states

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 6, 2000, Pages

  Storm, Cornelis ^a   Spruijt, Willem ^a   Ebert, Ute ^a,b   van Saarloos, Wim ^a  

^a LEIDEN UNIVERSITY   (Netherlands)

^b CWI   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC RELAXATION; CHAOTIC STATE; PERIODIC STATE; PHASE RELAXATION; SLOW RELAXATIONS; SWIFT-HOHENBERG EQUATIONS; UNSTABLE STATE; VELOCITY RELAXATION;

ALGEBRA; CHAOS THEORY;

ALGEBRA; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; GREEN'S FUNCTION; RELAXATION PROCESSES; VELOCITY;

ASYMPTOTIC RELAXATION; PULLED FRONTS;

EID: 0034205390     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.R6063     Document Type: Article

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14. This is true for chaotic fronts provided that the temporal correlation function for the chaotic variable falls off at least as fast as (Formula presented), so that the temporal change of the average velocity (Formula presented) can be considered adiabatically.
15. E. M. Lifshitz and L.P. Pitaevskii, Physical Kinetics (Pergamon, New York, 1981).
16. For Eq. (9), (Formula presented) (Formula presented), and (Formula presented). For Eq. (7), (Formula presented) (Formula presented) (Formula presented) (Formula presented), and (Formula presented).