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Relaxation from a marginal state in optical bistability

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Characteristic decay times for relaxation close to the marginal point of optical bistability are studied. A model-independent formula for the decay time is given which interpolates between Kramers time for activated decay and a deterministic relaxation time. This formula gives the decay time as a universal scaling function of the parameter which measures deviation from marginality. The standard deviation of the first-passage-time distribution is found to vary linearly with the decay time, close to marginality, with a slope independent of the noise intensity. Our results are substantiated by numerical simulations and their experimental relevance is pointed out.

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COLET, P., et al. Relaxation from a marginal state in optical bistability. Physical Review A. 1989. Vol. 39, num. 1, pags. 149-156. ISSN 1050-2947. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/9442

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