2005/03/31 by Julien Tailleur, Sorin Tanase-Nicola, Sorin Tănase-Nicola +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum chaos and dynamical systems #cond-mat.stat-mech #hep-th #math-ph #math.MP #nlin.CD #stochastic dynamics and bifurcation
paper · pdf · doi:10.1007/s10955-005-8059-x
published as J. Stat. Phys. 122 p. 557-595 (2006) · 39 pages, 5 figures
openalex publication_date 2006/02/01 · arxiv created 2006/10/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.