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Formulation of statistical mechanics for chaotic systems
Authors:Vishnu M Bannur and Ramesh Babu Thayyullathil
Institution:(1) Department of Physics, University of Calicut, Kozhikode, 673 635, India;(2) Department of Physics, Cochin University of Science and Technology, Kochi, 682 022, India
Abstract:We formulate the statistical mechanics of chaotic system with few degrees of freedom and investigated the quartic oscillator system using microcanonical and canonical ensembles. Results of statistical mechanics are numerically verified by considering the dynamical evolution of quartic oscillator system with two degrees of freedom.
Keywords:Statistical mechanics  chaotic system  quartic oscillators
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