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Slow relaxation to equipartition in spring-chain systems

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Title: Slow relaxation to equipartition in spring-chain systems
Authors: Konishi, Tetsuro Browse this author
Yanagita, Tatsuo Browse this author
Keywords: polymer elasticity and dynamics
dynamical processes (theory)
dynamics (theory)
molecular dynamics
Issue Date: Sep-2010
Publisher: IOP Publishing
Journal Title: Journal of Statistical Mechanics : Theory and Experiment
Volume: 2010
Start Page: P09001
Publisher DOI: 10.1088/1742-5468/2010/09/P09001
Abstract: In this study, one-dimensional systems of masses connected by springs, i.e., spring-chain systems, are investigated numerically. The average kinetic energy of chain-end particles of these systems is larger than that of other particles, which is similar to the behavior observed for systems made of masses connected by rigid links. The energetic motion of the end particles is, however, transient, and the system relaxes to thermal equilibrium after a while, where the average kinetic energy of each particle is the same, that is, equipartition of energy is achieved. This is in contrast to the case of systems made of masses connected by rigid links, where the energetic motion of the end particles is observed in equilibrium. The timescale of relaxation estimated by simulation increases rapidly with increasing spring constant. The timescale is also estimated using the Boltzmann-Jeans theory and is found to be in quite good agreement with that obtained from the simulation.
Rights: This is an author-created, un-copyedited version of an article accepted for publication in Journal of Statistical Mechanics : Theory and Experiment. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at 10.1088/1742-5468/2010/09/P09001
Type: article (author version)
Appears in Collections:電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 柳田 達雄

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