{"title":"对Soskin et al.《过阻尼系统中噪声诱发逃逸和跃迁的短时动力学》的评论,半导体物理,量子电子&光电子学,2022年。25、No . 3p . 262 - 274","authors":"V. A. Shneidman","doi":"10.15407/spqeo26.03.352","DOIUrl":null,"url":null,"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.","PeriodicalId":44695,"journal":{"name":"Semiconductor Physics Quantum Electronics & Optoelectronics","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"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\",\"authors\":\"V. A. Shneidman\",\"doi\":\"10.15407/spqeo26.03.352\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":44695,\"journal\":{\"name\":\"Semiconductor Physics Quantum Electronics & Optoelectronics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Semiconductor Physics Quantum Electronics & Optoelectronics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15407/spqeo26.03.352\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"QUANTUM SCIENCE & TECHNOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Semiconductor Physics Quantum Electronics & Optoelectronics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15407/spqeo26.03.352","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"QUANTUM SCIENCE & TECHNOLOGY","Score":null,"Total":0}
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
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.