Critical exponent crossovers in escape near a bifurcation point.
In periodically driven systems, near a bifurcation (critical) point the period-averaged escape rate Wmacr; scales with the field amplitude A as |ln(Wmacr;| proportional, variant (A(c)-A)(xi), where A(c) is a critical amplitude. We find three scaling regions. With increasing field frequency or decreasing |A(c)-A|, the critical exponent xi changes from xi=3/2 for a stationary system to a dynamical value xi=2 and then again to xi=3/2. Monte Carlo simulations agree with the scaling theory.
Dykman
M I
MI
Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.
Golding
B
B
Ryvkine
D
D