Reduced Density Matrix Approach to Phononic Dissipation in Friction

Details Reduced Density Matrix Approach to Phononic Dissipation in Friction Reduced Density Matrix Approach to Phononic Dissipation in Friction

1999-09-09

arxiv.org/abs/cond-mat/9909132v1

Physics

Condensed Matter

16 pages, 3 figures (included), revtex

Scientific paper

Understanding mechanisms for energy dissipation from nanoparticles in contact with large samples is a central problem in describing friction microscopically. Calculation of the reduced density matrix appears to be the most suitable metho to study such systems that are coupled to a large environment. In this paper the time evolution of the reduced density matrix has been evaluated for an arbitrary system coupled to a heat reservoir. The formalism is then applied to study the vibrational relaxation following the stick-slip motion of a small adsorbate on a surface. The frequency dependence of the relaxation time is also determined.

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