Localization and coherence in nonintegrable systems

Benno Rumpf, Alan C Newell

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

We study the irreversible dynamics of nonlinear, nonintegrable Hamiltonian oscillator chains approaching their statistical asymptotic states. In systems constrained by more than one conserved quantity, the partitioning of the conserved quantities leads naturally to localized and coherent structures. If the phase space is compact, the final equilibrium state is governed by entropy maximization and the coherent structures are stable lumps. In systems where the phase space is not compact, the coherent structures can be collapsed, represented in phase space by a heteroclinic connection of some unstable saddle to infinity.

Original languageEnglish (US)
Pages (from-to)162-191
Number of pages30
JournalPhysica D: Nonlinear Phenomena
Volume184
Issue number1-4
DOIs
StatePublished - Oct 1 2003

Fingerprint

Hamiltonians
Coherent Structures
Phase Space
Entropy
Conserved Quantity
Entropy Maximization
Heteroclinic Connection
Localized Structures
Constrained Systems
saddles
Saddle
Equilibrium State
infinity
Partitioning
Unstable
oscillators
Infinity
entropy

Keywords

  • Localized structures
  • Statistical physics

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Localization and coherence in nonintegrable systems. / Rumpf, Benno; Newell, Alan C.

In: Physica D: Nonlinear Phenomena, Vol. 184, No. 1-4, 01.10.2003, p. 162-191.

Research output: Contribution to journalArticle

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