Nonlinear waves in reaction-diffusion systems: The effect of transport memory

Journal Article · Sat Apr 01 00:00:00 EST 2000 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.61.4177· OSTI ID:20216094

Manne, K K ^[1]; Hurd, A J ^[2]; Kenkre, V M ^[1]

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1. Center for Advanced Studies and Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131 (United States)
2. Sandia National Laboratories, Albuquerque, New Mexico 87185 (United States)

Motivated by the problem of determining stress distributions in granular materials, we study the effect of finite transport correlation times on the propagation of nonlinear wave fronts in reaction-diffusion systems. We obtain results such as the possibility of spatial oscillations in the wave-front shape for certain values of the system parameters and high enough wave-front speeds. We also generalize earlier known results concerning the minimum wave-front speed and shape-speed relationships stemming from the finiteness of the correlation times. Analytic investigations are made possible by a piecewise linear representation of the nonlinearity. (c) 2000 The American Physical Society.

• OSTI ID: 20216094
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 61, Issue 4; Other Information: PBD: Apr 2000; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC
ORGANIC
PHYSICAL AND ANALYTICAL CHEMISTRY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GRANULAR MATERIALS
STRESSES
CHEMICAL REACTIONS
DIFFUSION
WAVE PROPAGATION
THEORETICAL DATA