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.
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Tailleur, J., Tănase-Nicola, S. & Kurchan, J. Kramers Equation and Supersymmetry. J Stat Phys 122, 557–595 (2006). https://doi.org/10.1007/s10955-005-8059-x
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DOI: https://doi.org/10.1007/s10955-005-8059-x