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Statistical mechanics of general discrete nonlinear Schrödinger models: Localization transition and its relevance for Klein-Gordon lattices
Linköping University, The Institute of Technology. Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics .ORCID iD: 0000-0001-6708-1560
Rasmussen, K.Ø., Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, United States.
2004 (English)In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 70, no 6 2Article in journal (Refereed) Published
Abstract [en]

A statistical-mechanics description of a general class of discrete nonlinear Schrödinger (DNLS) models, was presented. Simple analytical conditions for the transition into the statistical localization regime, were obtained. Numerical simulation was performed to show the nature of the localization dynamics outside the 'normal' Gibbsian regime for various cases. It is concluded that the results from the DNLS model can be transferred into approximate conditions for statistical formation of long-lived breathers in weakly coupled Klein-Gordon chains.

Place, publisher, year, edition, pages
2004. Vol. 70, no 6 2
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-45474DOI: 10.1103/PhysRevE.70.066610OAI: diva2:266370
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2014-01-13

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