Papoff, Francesco and Zambrini, Roberta (2005) Convective instability induced by nonlocality in nonlinear diffusive systems. Physical Review Letters, 94 (24). pp. 243903-1. ISSN 0031-9007
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.
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