Abstract
We analyze some cases for which the Pollak–Grabert–Hänggi theory on the activated rate processes for generalized Langevin dynamics exhibits unexplained disagreements with numerical results. First we analyze carefully the PGH theory and we show that a kind of Markovian hypothesis implicitly made in the reasoning is sometimes violated. Then we propose modifications of the original theory in order to take into account the possible effects caused by this violation, and we compare the corrected results with simulations.
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Farago, J., Peyrard, M. Long-Time Bath Correlations in the Pollak–Grabert–Hänggi Theory. Journal of Statistical Physics 91, 733–757 (1998). https://doi.org/10.1023/A:1023037913222
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DOI: https://doi.org/10.1023/A:1023037913222