Ryvkine D, Dykman M I
Department of Physics and Astronomy, Michigan State University, East Lansing, 48824, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 1):011110. doi: 10.1103/PhysRevE.72.011110. Epub 2005 Jul 25.
Noise-induced escape from a metastable state is studied for an overdamped periodically modulated system. We develop an asymptotic technique that gives both the instantaneous and period-average escape rates, including the prefactor, for an arbitrary modulation amplitude A . We find the parameter range where escape is strongly synchronized and the instantaneous escape rate displays sharp peaks. The peaks vary with increasing modulation frequency or amplitude from Gaussian to strongly asymmetric. The prefactor nu in the period-average escape rate depends on A nonmonotonically. Near the bifurcation amplitude A(c) it scales as nu approximately (A(c) - A)(zeta). We identify three scaling regimes, with zeta = 1/4, -1, and 1/2.
针对过阻尼周期调制系统，研究了噪声诱导的从亚稳态逃逸的现象。我们开发了一种渐近技术，该技术能给出任意调制幅度(A)下的瞬时逃逸率和周期平均逃逸率，包括前置因子。我们找到了逃逸强烈同步且瞬时逃逸率呈现尖锐峰值的参数范围。这些峰值随着调制频率或幅度的增加，从高斯分布变为强烈不对称。周期平均逃逸率中的前置因子(\nu)非单调地依赖于(A)。在分岔幅度(A(c))附近，它的标度形式为(\nu\approx(A(c)-A)^{\zeta})。我们确定了三种标度区域，其中(\zeta = 1/4)、(-1)和(1/2)。
