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Title: Statistical mechanics of a discrete nonlinear system

Abstract

Statistical mechanics of the discrete nonlinear Schroedinger 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=infinity, we identify a phase transition, through a discontinuity in the partition function. The phase transition is demonstrated to manifest itself in the creation of breather-like localized excitations. Interrelation between the statistical mechanics and the nonlinear dynamics of the system is explored numerically in both regimes.

Authors:
; ; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Director, Office of Science. Office of Advanced Scientific Computing Research. Mathematical, Information, and Computational Sciences Division (US)
OSTI Identifier:
797822
Report Number(s):
LBNL-44277
Journal ID: ISSN 0031-9007; PRLTAO; R&D Project: K11503; TRN: US0201738
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 84; Journal Issue: 17; Other Information: Journal Publication Date: Apr. 24, 2000; PBD: 1 Sep 1999; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONSTRUCTION; HAMILTONIANS; NONLINEAR PROBLEMS; PARTITION FUNCTIONS; SCHROEDINGER EQUATION; STATISTICAL MECHANICS

Citation Formats

Rasmussen, K.O., Cretegny, T., Kevrekidis, P.G., and Gronbech-Jensen, Niels. Statistical mechanics of a discrete nonlinear system. United States: N. p., 1999. Web.
Rasmussen, K.O., Cretegny, T., Kevrekidis, P.G., & Gronbech-Jensen, Niels. Statistical mechanics of a discrete nonlinear system. United States.
Rasmussen, K.O., Cretegny, T., Kevrekidis, P.G., and Gronbech-Jensen, Niels. Wed . "Statistical mechanics of a discrete nonlinear system". United States.
@article{osti_797822,
title = {Statistical mechanics of a discrete nonlinear system},
author = {Rasmussen, K.O. and Cretegny, T. and Kevrekidis, P.G. and Gronbech-Jensen, Niels},
abstractNote = {Statistical mechanics of the discrete nonlinear Schroedinger 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=infinity, we identify a phase transition, through a discontinuity in the partition function. The phase transition is demonstrated to manifest itself in the creation of breather-like localized excitations. Interrelation between the statistical mechanics and the nonlinear dynamics of the system is explored numerically in both regimes.},
doi = {},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 17,
volume = 84,
place = {United States},
year = {1999},
month = {9}
}