caa a22 4500 467892660 CHVBK 20180406152753.0 cr unu---uuuuu 170328e20060201xx s 000 0 eng 10.1007/s10955-005-8059-x doi (NATIONALLICENCE)springer-10.1007/s10955-005-8059-x Kramers Equation and Supersymmetry [Elektronische Daten] [Julien Tailleur, Sorin Tănase-Nicola, Jorge Kurchan] 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. Springer Science + Business Media, Inc., 2006 Kramers equation nationallicence Supersymmetry nationallicence Reaction paths nationallicence Morse theory nationallicence Stochastic methods nationallicence Tailleur Julien PMMH UMR 7636 CNRS-ESPCI, 10, Rue Vauquelin, 75231, Paris Cedex 05, France aut Tănase-Nicola Sorin PMMH UMR 7636 CNRS-ESPCI, 10, Rue Vauquelin, 75231, Paris Cedex 05, France aut Kurchan Jorge PMMH UMR 7636 CNRS-ESPCI, 10, Rue Vauquelin, 75231, Paris Cedex 05, France aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/4(2006-02-01), 557-595 0022-4715 122:4<557 2006 122 10955 https://doi.org/10.1007/s10955-005-8059-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-8059-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tailleur Julien PMMH UMR 7636 CNRS-ESPCI, 10, Rue Vauquelin, 75231, Paris Cedex 05, France aut NATIONALLICENCE 700 1- Tănase-Nicola Sorin PMMH UMR 7636 CNRS-ESPCI, 10, Rue Vauquelin, 75231, Paris Cedex 05, France aut NATIONALLICENCE 700 1- Kurchan Jorge PMMH UMR 7636 CNRS-ESPCI, 10, Rue Vauquelin, 75231, Paris Cedex 05, France aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/4(2006-02-01), 557-595 0022-4715 122:4<557 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer