TY - JOUR
T1 - 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
AU - Shneidman, Vitaly A.
N1 - Publisher Copyright:
© V. Lashkaryov Institute of Semiconductor Physics of the NAS of Ukraine, 2023 © Publisher PH “Akademperiodyka” of the NAS of Ukraine, 2023.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - matched asymptotic solution
KW - numerical simulations
KW - quartic potential
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U2 - 10.15407/spqeo26.03.352
DO - 10.15407/spqeo26.03.352
M3 - Comment/debate
AN - SCOPUS:85173033243
SN - 1560-8034
VL - 26
SP - 352
EP - 354
JO - Semiconductor Physics, Quantum Electronics and Optoelectronics
JF - Semiconductor Physics, Quantum Electronics and Optoelectronics
IS - 3
ER -