Localization and Coherence in Nonintegrable Systems

Details Localization and Coherence in Nonintegrable Systems Localization and Coherence in Nonintegrable Systems

2003-06-08

arxiv.org/abs/nlin/0306011v1

Nonlinear Sciences

Pattern Formation and Solitons

41 pages, 15 figures

Scientific paper

10.1016/S0167-2789(03)00220-3

We study the irreversible dynamics of nonlinear, nonintegrable Hamiltonian oscillator chains approaching their statistical asympotic 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 final coherent structures are stable lumps. In systems where the phase space is not compact, the coherent structures can be collapses represented in phase space by a heteroclinic connection to infinity.

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