Statistical mechanics of general discrete nonlinear Schrödinger models : Localization transition and its relevance for Klein-Gordon lattices

• 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.

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