Kramers equation and supersymmetry

Details Kramers equation and supersymmetry Kramers equation and supersymmetry

2005-03-22

arxiv.org/abs/cond-mat/0503545v3

J. Stat. Phys. 122 p. 557-595 (2006)

Physics

Condensed Matter

Statistical Mechanics

39 pages, 5 figures

Scientific paper

10.1007/s10955-005-8059-x

Hamilton's equations with noise and friction possess a hidden supersymmetry, valid for time-independent as well as periodically time-dependent systems. It is used to derive topological properties of critical points and periodic trajectories in an elementary way. From a more practical point of view, the formalism provides new tools to study the reaction paths in systems with separated time scales. A 'reduced current' which contains the relevant part of the phase space probability current is introduced, together with strategies for its computation.

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