Kramers Equation and Supersymmetry

  title={Kramers Equation and Supersymmetry},
  author={Julien Tailleur and Sorin Tanase-Nicola and Jorge Kurchan},
  journal={Journal of Statistical Physics},
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… 
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