Bimodal approximation for anomalous diffusion in a potential.

نویسندگان

  • Yuri P Kalmykov
  • William T Coffey
  • Sergey V Titov
چکیده

Exact and approximate solutions of the fractional diffusion equation for an assembly of fixed-axis dipoles are derived for anomalous noninertial rotational diffusion in a double-well potential. It is shown that knowledge of three time constants characterizing the normal diffusion, viz., the integral relaxation time, the effective relaxation time, and the inverse of the smallest eigenvalue of the Fokker-Planck operator, is sufficient to accurately predict the anomalous relaxation behavior for all time scales of interest.

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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 69 2 Pt 1  شماره 

صفحات  -

تاریخ انتشار 2004