Journal of Statistical Physics

, Volume 116, Issue 5, pp 1201–1245

Metastable States, Transitions, Basins and Borders at Finite Temperatures

  • Sorin Tănase-Nicola
  • Jorge Kurchan

DOI: 10.1023/B:JOSS.0000041739.53068.6a

Cite this article as:
Tănase-Nicola, S. & Kurchan, J. Journal of Statistical Physics (2004) 116: 1201. doi:10.1023/B:JOSS.0000041739.53068.6a


Langevin/Fokker-Planck processes can be immersed in a larger frame by adding fictitious fermion variables. The (super) symmetry of this larger structure has been used to derive Morse theory in an elegant way. The original physical diffusive motion is retained in the zero-fermion subspace. Here we study the subspaces with non-zero fermion number which yield deep information, as well as new computational strategies, for barriers, reaction paths, and unstable states – even in non-zero temperature situations and when the barriers are of entropic or collective nature, as in the thermodynamic limit. The presentation is self-contained.

Reaction paths Metastability Stochastic methods Kramers' problem Morse theory 

Copyright information

© Springer Science+Business Media, Inc. 2004

Authors and Affiliations

  • Sorin Tănase-Nicola
    • 1
  • Jorge Kurchan
    • 1
  1. 1.PMMH UMR 7636 CNRS-ESPCI, 10, Rue Vauquelin, 75231Paris CEDEX 05France