Convective instability induced by nonlocality in nonlinear diffusive systems

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.

5 pages, accepted for publication in PRL

References in corpus (1)

• Macroscopic quantum fluctuations in noise-sustained optical patterns

Cited by in corpus (5)

• Formation of localized structures in bistable systems through nonlocal spatial coupling I: General framework
• Nonlocality-induced front interaction enhancement
• Nonlocality Induces Chains of Nested Localized Structures
• Signal amplification and control in optical cavities with off-axis feedback
• Nonlocal feedback in nonlinear systems