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Polovinkin A.V.

Where is the boundary of adiabatic approximation
(of quasi-statics) by stochastic resonance consideration?

A.V. Polovinkin
University of Nizhny Novgorod, Russia

There is considered the periodically driven stochastic system, given by equation:

displaymath4092

where:

-U(x) is a bistable potential having a maximum at tex2html_wrap_inline4096 and minimum at tex2html_wrap_inline4098 ,

-h(t) is the periodic function,

-and tex2html_wrap_inline4102 is white gaussian noise with intensity equals b.

In the case when h(t) is the sequence of rectangular pulses with the aid of detailed balance condition it is shown, that the seting-up-time for quasistatical probability flow over the potential barrier can be estimated as the mean relaxation time of a brownian particle initially placed at the barrier's top:

equation1667

where R is the scale of U(x) - dependence,

displaymath4112

This result suggests, that adiabatic approximation for stochastic resonance consideration can be used at the frequencies tex2html_wrap_inline4114 , where tex2html_wrap_inline2774 (1) logarithmically grows with noise decreasing.



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