Convective instability induced by nonlocality in nonlinear diffusive systems

Francesco Papoff; Roberta Zambrini

doi:10.1103/PhysRevLett.94.243903

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 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.

Original language	English
Number of pages	4
Journal	Physical Review Letters
Volume	94
Issue number	24
DOIs	https://doi.org/10.1103/PhysRevLett.94.243903
Publication status	Published - 24 Jun 2005

Keywords

nonlinear diffusive systems
convective instability
nonlocal coupling
optics

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10.1103/PhysRevLett.94.243903

strathprints002956Accepted author manuscript, 431 KB

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title = "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 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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AU - Zambrini, Roberta

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AB - 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.

KW - nonlinear diffusive systems

KW - convective instability

KW - nonlocal coupling

KW - optics

U2 - 10.1103/PhysRevLett.94.243903

DO - 10.1103/PhysRevLett.94.243903

M3 - Article

SN - 0031-9007

VL - 94

JO - Physical Review Letters

JF - Physical Review Letters

IS - 24

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Convective instability induced by nonlocality in nonlinear diffusive systems

Abstract

Keywords

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