Escape rate for the power-law distribution in low-to-intermediate damping

Abstract

Escape rate in the low-to-intermediate damping connecting the low damping with the intermediate damping is established for the power-law distribution on the basis of flux over population theory. We extend the escape rate in the low damping to the low-to-intermediate damping, and get an expression for the power-law distribution. Then we apply the escape rate for the power-law distribution to the experimental study of the excited-state isomerization, and show a good agreement with the experimental value. The extra current and the improvement of the absorbing boundary condition are discussed.

15 pages, 2 figures

References in corpus (6)

• Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas
• Gibbsian theory of power law distributions
• Escape rate from a metastable state weakly interacting with a heat bath driven by an external noise
• The power-law reaction rate coefficient for an elementary bimolecular reaction
• Kramers escape rate in overdamped systems with the power-law distribution
• The mean first passage time in an energy-diffusion controlled regime with power-law distributions

Cited by in corpus (6)

• The collision theory reaction rate coefficient for power-law distributions
• Phase Transition Dynamics of Black Holes Influenced by Kaniadakis and Barrow Statistics
• The rate coefficients of unimolecular reactions in the systems with power-law distributions
• Kramer's Escape Rate and Phase Transition Dynamics in AdS Black Holes
• The power-law TST reaction rate coefficient with tunneling correction
• The power-law reaction rate coefficient for barrierless reactions