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Convective instability induced by nonlocality in nonlinear diffusive systems

Francesco Papoff·Roberta Zambrini
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Abstract

We consider a large class of nonlinear diffusive systems with nonlocal coupling. By using a non-perturbative 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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Francesco Papoff, Roberta Zambrini. 2005-05-19. Convective instability induced by nonlocality in nonlinear diffusive systems. https://doi.org/10.1103/physrevlett.94.243903

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