publication . Article . Preprint . 2019

Comment on “Minimum Action Path Theory Reveals the Details of Stochastic Transitions Out of Oscillatory States”

Meerson, Baruch; Smith, Naftali R.;
Open Access
  • Published: 08 Feb 2019 Journal: Physical Review Letters, volume 122 (issn: 0031-9007, eissn: 1079-7114, Copyright policy)
  • Publisher: American Physical Society (APS)
Abstract
De la Cruz et al. [Phys. Rev. Lett. 120, 128102 (2018); arXiv:1705.08683] studied a noise-induced transition in an oscillating stochastic population undergoing birth- and death-type reactions. They applied the Freidlin-Wentzell WKB formalism to determine the most probable path to the noise-induced escape from a limit cycle predicted by deterministic theory, and to find the probability distribution of escape time. Here we raise a number of objections to their calculations.
Subjects
free text keywords: General Physics and Astronomy, Deterministic theory, Population, education.field_of_study, education, Oscillation, Physics, Formalism (philosophy), Limit cycle, Statistical physics, Condensed matter physics, WKB approximation, Probability distribution, Physics - Biological Physics, Condensed Matter - Statistical Mechanics
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publication . Article . Preprint . 2019

Comment on “Minimum Action Path Theory Reveals the Details of Stochastic Transitions Out of Oscillatory States”

Meerson, Baruch; Smith, Naftali R.;