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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 352-354 |
| Number of pages | 3 |
| Journal | Semiconductor Physics, Quantum Electronics and Optoelectronics |
| Volume | 26 |
| Issue number | 3 |
| DOIs |
|
| State | Published - 2023 |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Electrical and Electronic Engineering
Keywords
- matched asymptotic solution
- numerical simulations
- quartic potential
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Dive into the research topics of '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'. Together they form a unique fingerprint.Cite this
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