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Modeling velocity in gradient flows with coupled-map lattices with advection

2002; American Physical Society; Volume: 66; Issue: 1 Linguagem: Inglês

10.1103/physreve.66.016219

ISSN

1538-4519

Autores

Pedro G. Lind, João Corte‐Real, Jason A. C. Gallas,

Tópico(s)

Tree-ring climate responses

Resumo

We introduce a simple model to investigate large scale behavior of gradient flows based on a lattice of coupled maps which, in addition to the usual diffusive term, incorporates advection, as an asymmetry in the coupling between nearest neighbors. This diffusive-advective model predicts traveling patterns to have velocities obeying the same scaling as wind velocities in the atmosphere, regarding the advective parameter as a sort of geostrophic wind. In addition, the velocity and wavelength of traveling wave solutions are studied. In general, due to the presence of advection, two regimes are identified: for strong diffusion the velocity varies linearly with advection, while for weak diffusion a power law is found with a characteristic exponent proportional to the diffusion.

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