Dynamics of relaxation and fluctuations of the equilibrium state in an incompletely chaotic system

Vladimir A. Yurovsky; Abraham Ben-Reuven; Maxim Olshanii

doi:https://doi.org/10.1021/jp109388x

Dynamics of relaxation and fluctuations of the equilibrium state in an incompletely chaotic system

Vladimir A. Yurovsky, Abraham Ben-Reuven, Maxim Olshanii

School of Chemistry

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

An incompletely chaotic system, with a perturbation of the integrable part that does not obey selection rules, relaxes to an equilibrium state that lies between the initial state and thermal equilibrium. We analyze here a system of two atoms in a circular transversally harmonic waveguide. The dynamics of expectation values of generic observables and their fluctuations in the long-time limit are studied for this model. The relaxation demonstrates a nonexponential behavior and slows down as the initial-state energy increases. The fluctuation amplitude has a tendency to decrease with an increase of the initial state width.

Original language	English
Pages (from-to)	5340-5346
Number of pages	7
Journal	Journal of Physical Chemistry B
Volume	115
Issue number	18
DOIs	https://doi.org/10.1021/jp109388x
State	Published - 12 May 2011

All Science Journal Classification (ASJC) codes

Physical and Theoretical Chemistry
Surfaces, Coatings and Films
Materials Chemistry

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abstract = "An incompletely chaotic system, with a perturbation of the integrable part that does not obey selection rules, relaxes to an equilibrium state that lies between the initial state and thermal equilibrium. We analyze here a system of two atoms in a circular transversally harmonic waveguide. The dynamics of expectation values of generic observables and their fluctuations in the long-time limit are studied for this model. The relaxation demonstrates a nonexponential behavior and slows down as the initial-state energy increases. The fluctuation amplitude has a tendency to decrease with an increase of the initial state width.",

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N2 - An incompletely chaotic system, with a perturbation of the integrable part that does not obey selection rules, relaxes to an equilibrium state that lies between the initial state and thermal equilibrium. We analyze here a system of two atoms in a circular transversally harmonic waveguide. The dynamics of expectation values of generic observables and their fluctuations in the long-time limit are studied for this model. The relaxation demonstrates a nonexponential behavior and slows down as the initial-state energy increases. The fluctuation amplitude has a tendency to decrease with an increase of the initial state width.

AB - An incompletely chaotic system, with a perturbation of the integrable part that does not obey selection rules, relaxes to an equilibrium state that lies between the initial state and thermal equilibrium. We analyze here a system of two atoms in a circular transversally harmonic waveguide. The dynamics of expectation values of generic observables and their fluctuations in the long-time limit are studied for this model. The relaxation demonstrates a nonexponential behavior and slows down as the initial-state energy increases. The fluctuation amplitude has a tendency to decrease with an increase of the initial state width.

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JO - Journal of Physical Chemistry B

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ER -

Dynamics of relaxation and fluctuations of the equilibrium state in an incompletely chaotic system

Abstract

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