Environmental effects on rate processes in complex dynamical systems,
such as biomolecules, have drawn much interest in recent years. Emphas
is has been put on studies of escape over fluctuating barriers. which
can generally be either energetic or geometric in character. Were we c
oncentrate on the geometrical aspect, investigating the motion of mole
cules in a time-dependent environment that involves crossing of two co
rrelated geometrical barriers which act as bottlenecks. We assume that
the rate of passage through a bottleneck is proportional to its cross
-sectional area. Fluctuations that may be solvent induced, and therefo
re viscosity dependent, change the cross-sectional area and thus affec
t the rate of passage. We calculate the dependence of the escape rate
K-eff on the solvent viscosity eta and on the correlation between the
bottlenecks. (C) 1998 Elsevier Science B.V. All rights reserved.