Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-02-27
J. Stat. Phys., 96 (1999) 271
Physics
Condensed Matter
Statistical Mechanics
Revtex, 34 pages, 7 figures (ps file), to appear in Journal of Statistical Physics
Scientific paper
A semiclassical theory of dissipative Henon-Heiles system is proposed. Based on $\hbar$-scaling of an equation for evolution of Wigner quasiprobability distribution function in presence of dissipation and thermal diffusion, we derive a semiclassical equation for quantum fluctuations, governed by the dissipation and the curvature of the classical potential. We show how the initial quantum noise gets amplified by classical chaotic diffusion which is expressible in terms of correlation of stochastic fluctuations of the curvature of the potential due to classical chaos and ultimately settles down to equilibrium under the influence of dissipation. We also establish that there exists a critical limit to the expansion of phase space. The limit is set by chaotic diffusion and dissipation. Our semiclassical analysis is corroborated by numerical simulation of quantum operator master equation.
Bag Bidhan Chandra
Ray Deb Shankar
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