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Space-dependent friction in the theory of activated rate processes.

The Hamiltonian approach of Pollak–Grabert–Hanggi to the theory of activated rate processes is generalized to allow for different frictions in the well and the barrier regions. Estimates of the escape rate in the case of exponential friction can be determined from the derived equations of motion, which are exact for all values of the coupling in the well and barrier regions. The rate results are plotted in several cases.