Coffey, W.T., Crothers, D.S.F., Kalmykov, Yu.P., 'Effect of a uniform bias force on the Brownian movement in double-well potentials' in Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 55, 4, (1997), pp 4812 - 4815
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 55 4
A general property of the Brownian motion in a bistable potential with the asymmetry arising from the
imposition of a bias force is described. The property is that, at values of the bias force far less than the critical
value required to destroy the bistable nature of the potential, the relaxation process may come to be dominated
by fast intrawell modes rather than the slow overbarrier relaxation mode. The effect manifests itself in the
pronounced departure of the inverse of the smallest eigenvalue of the Fokker-Planck equation from the relaxation
time. The phenomenon is illustrated by two examples
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