Non-Markovian diffusion over a parabolic potential barrier: Influence of the friction-memory function

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YILMAZ B., Ayik S., Abe Y., Boilley D.

PHYSICAL REVIEW E, cilt.77, sa.1, 2008 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 77 Sayı: 1
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1103/physreve.77.011121
  • Dergi Adı: PHYSICAL REVIEW E
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ankara Üniversitesi Adresli: Evet

Özet

The over-passing probability across an inverted parabolic potential barrier is investigated according to the classical and quantal generalized Langevin equations. It is shown that, in the classical case, the asymptotic value of the over-passing probability is determined by a single dominant root of the "characteristic function," and it is given by a simple expression. The expression for the over-passing probability is quite general, and details of dissipation mechanism and memory effects enter into the expression only through the dominant root of the characteristic equation.