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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). pp. 243903-1. ISSN 0031-9007

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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.