Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-03-27
Physics
Condensed Matter
Statistical Mechanics
in press in Acta Physica Polonica, vol. 35 (4), 2004
Scientific paper
The exact formulae for spectra of equilibrium diffusion in a fixed bistable piecewise linear potential and in a randomly flipping monostable potential are derived. Our results are valid for arbitrary intensity of driving white Gaussian noise and arbitrary parameters of potential profiles. We find: (i) an exponentially rapid narrowing of the spectrum with increasing height of the potential barrier, for fixed bistable potential; (ii) a nonlinear phenomenon, which manifests in the narrowing of the spectrum with increasing mean rate of flippings, and (iii) a nonmonotonic behaviour of the spectrum at zero frequency, as a function of the mean rate of switchings, for randomly switching potential. The last feature is a new characterization of resonant activation phenomenon.
Dubkov Alexander A.
Ganin V. N.
Spagnolo Bernardo
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