Semiconductor Physics, Quantum Electronics & Optoelectronics, 26 (3), P. 352-354 (2023).
DOI: https://doi.org/10.15407/spqeo26.03.352
Comment on “Short-time dynamics of noise-induced escapes
and transitions in overdamped systems” by Soskin et al.,
Semiconductor Physics, Quantum Electronics & Optoelectronics, 2022. 25, No 3. P. 262–274
Department of Physics, New Jersey Institute of Technology, Newark, NJ 07102 Abstract.
I clarify the reasons for the observed discrepancy between the numerical simulations of noise induced escape in a quartic potential by Soskin et al., and the weak noise matched asymptotic solution (MAS) of the time dependent Smoluchowski equation obtained earlier [V. Shneidman, Phys. Rev. E56, 5257 (1997)]. A minor typo – sign of a constant – is corrected and the MAS is also extended beyond the top of the barrier into the second well. Once numerics is performed for a higher barrier, the correspondence with analytics is restored.
Keywords:numerical simulations, quartic potential, matched asymptotic solution
Vitaly A. Shneidman
E-mail: vitaly@njit.edu
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