Metastable states, transitions, basins and borders at finite temperatures

Sorin Tanase-Nicola; Jorge Kurchan

doi:10.1023/b:joss.0000041739.53068.6a

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arXiv · cond-mat/0311273

Metastable states, transitions, basins and borders at finite temperatures

Sorin Tanase-Nicola·Jorge Kurchan

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Abstract

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.

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Sorin Tanase-Nicola, Jorge Kurchan. 2003-11-12. Metastable states, transitions, basins and borders at finite temperatures. https://doi.org/10.1023/b%3Ajoss.0000041739.53068.6a

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