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In the case of telegraphic noise F_ν(t), the activation rates for bistable flows of the type x=f(x)+g(x)F_ν(t) can be calculated exactly. For a noise F_ν(t) of constant intensity, the activation rates are enhanced exponentially with decreasing correlation time τ=1ν.
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Hänggi et al. (1983) studied this question.
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