Kramers equation and supersymmetry
Statistical Mechanics
2007-05-23 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0503545,
title = {Kramers equation and supersymmetry},
author = {Julien Tailleur and Sorin Tanase-Nicola and Jorge Kurchan},
journal= {arXiv preprint arXiv:cond-mat/0503545},
year = {2007}
}
Comments
39 pages, 5 figures