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Critical exponent crossovers in escape near a bifurcation point
M I Dykman1, B Golding, D Ryvkine
1Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.
Physical Review Letters
|March 5, 2004
Abstract:
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.