Publication Date
2000
Journal or Book Title
Physics Review Letters
Abstract
Statistical mechanics of the discrete nonlinear Schrödinger equation is studied by means of analytical and numerical techniques. The lower bound of the Hamiltonian permits the construction of standard Gibbsian equilibrium measures for positive temperatures. Beyond the line of T = ∞, we identify a phase transition through a discontinuity in the partition function. The phase transition is demonstrated to manifest itself in the creation of breatherlike localized excitations. Interrelation between the statistical mechanics and the nonlinear dynamics of the system is explored numerically in both regimes.
Volume
84
Issue
17
Recommended Citation
Rasmussen, K; Cretegny, T; and Kevrekidis, PG, "Statistical Mechanics of a Discrete Nonlinear System" (2000). Physics Review Letters. 1059.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1059
Comments
This is the pre-published version harvested from arXiv. The published version is located at