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Title: Classical field techniques for condensates in one-dimensional rings at finite temperatures

Abstract

For a condensate in a one-dimensional ring geometry, we compare the thermodynamic properties of three conceptually different classical field techniques: stochastic dynamics, microcanonical molecular dynamics, and the classical field method. Starting from nonequilibrium initial conditions, all three methods approach steady states whose distribution and correlation functions are in excellent agreement with an exact evaluation of the partition function in the high-temperature limit. Our study helps to establish these various classical field techniques as powerful nonperturbative tools for systems at finite temperatures.

Authors:
; ;  [1]
  1. Clarendon Laboratory, Department of Physics, University of Oxford, Parks Road, Oxford OX1 3PU (United Kingdom)
Publication Date:
OSTI Identifier:
20982373
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.033604; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSONS; COMPARATIVE EVALUATIONS; CORRELATION FUNCTIONS; DISTRIBUTION; MOLECULAR DYNAMICS METHOD; ONE-DIMENSIONAL CALCULATIONS; PARTITION FUNCTIONS; PERTURBATION THEORY; RINGS; STATISTICAL MECHANICS; STEADY-STATE CONDITIONS; STOCHASTIC PROCESSES; THERMODYNAMIC PROPERTIES

Citation Formats

Nunnenkamp, A., Milstein, J. N., and Burnett, K.. Classical field techniques for condensates in one-dimensional rings at finite temperatures. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.033604.
Nunnenkamp, A., Milstein, J. N., & Burnett, K.. Classical field techniques for condensates in one-dimensional rings at finite temperatures. United States. doi:10.1103/PHYSREVA.75.033604.
Nunnenkamp, A., Milstein, J. N., and Burnett, K.. Thu . "Classical field techniques for condensates in one-dimensional rings at finite temperatures". United States. doi:10.1103/PHYSREVA.75.033604.
@article{osti_20982373,
title = {Classical field techniques for condensates in one-dimensional rings at finite temperatures},
author = {Nunnenkamp, A. and Milstein, J. N. and Burnett, K.},
abstractNote = {For a condensate in a one-dimensional ring geometry, we compare the thermodynamic properties of three conceptually different classical field techniques: stochastic dynamics, microcanonical molecular dynamics, and the classical field method. Starting from nonequilibrium initial conditions, all three methods approach steady states whose distribution and correlation functions are in excellent agreement with an exact evaluation of the partition function in the high-temperature limit. Our study helps to establish these various classical field techniques as powerful nonperturbative tools for systems at finite temperatures.},
doi = {10.1103/PHYSREVA.75.033604},
journal = {Physical Review. A},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}