Convective instability induced by nonlocality in nonlinear diffusive systems

Francesco Papoff, Roberta Zambrini

Research output: Contribution to journalArticle

30 Citations (Scopus)

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.
LanguageEnglish
Number of pages4
JournalPhysical Review Letters
Volume94
Issue number24
DOIs
Publication statusPublished - 24 Jun 2005

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nonlinear systems

Keywords

  • nonlinear diffusive systems
  • convective instability
  • nonlocal coupling
  • optics

Cite this

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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.",
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Convective instability induced by nonlocality in nonlinear diffusive systems. / Papoff, Francesco; Zambrini, Roberta.

In: Physical Review Letters, Vol. 94, No. 24, 24.06.2005.

Research output: Contribution to journalArticle

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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

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DO - 10.1103/PhysRevLett.94.243903

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JO - Physical Review Letters

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