Convective instability induced by nonlocality in nonlinear diffusive systems

Papoff, Francesco and Zambrini, Roberta (2005) Convective instability induced by nonlocality in nonlinear diffusive systems. Physical Review Letters, 94 (24). ISSN 1079-7114 (https://doi.org/10.1103/PhysRevLett.94.243903)

[thumbnail of strathprints002956]
Preview
Text. Filename: strathprints002956.pdf
Accepted Author Manuscript

Download (441kB)| Preview

Abstract

We consider a large class of nonlinear diffusive systems with nonlocal coupling. By using a nonperturbative analytical approach we are able to determine the convective and absolute instabilities of all the uniform states of these systems. We find a huge window of convective instability that should provide a great opportunity to study experimentally and theoretically noise sustained patterns.

ORCID iDs

Papoff, Francesco ORCID logoORCID: https://orcid.org/0000-0002-3456-343X and Zambrini, Roberta;