Reply to “Comment on ‘Nonstationary optimal paths and tails of prehistory probability density in multistable stochastic systems’ ”

B. E. Vugmeister; J. Botina; H. Rabitz

doi:10.1103/PhysRevE.59.2481

Reply to “Comment on ‘Nonstationary optimal paths and tails of prehistory probability density in multistable stochastic systems’ ”

B. E. Vugmeister, J. Botina, H. Rabitz

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We argue that the validity of the WKB approach for calculating nonequilibrium properties of a nonlinear stochastic system requires an additional criterion involving the time interval, compared with the standard WKB criterion considered by Mannella [R. Mannella, Phys. Rev. E 58, 2479 (1999)]. In order to clarify the situation, we compare the WKB solution with the direct numerical solution of the Fokker-Plank equation.

Original language	English (US)
Pages (from-to)	2481-2482
Number of pages	2
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	59
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.59.2481
State	Published - 1999

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.59.2481

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doi = "10.1103/PhysRevE.59.2481",

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Reply to “Comment on ‘Nonstationary optimal paths and tails of prehistory probability density in multistable stochastic systems’ ”. / Vugmeister, B. E.; Botina, J.; Rabitz, H.
In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 59, No. 2, 1999, p. 2481-2482.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - Reply to “Comment on ‘Nonstationary optimal paths and tails of prehistory probability density in multistable stochastic systems’ ”

AU - Vugmeister, B. E.

AU - Botina, J.

AU - Rabitz, H.

PY - 1999

Y1 - 1999

N2 - We argue that the validity of the WKB approach for calculating nonequilibrium properties of a nonlinear stochastic system requires an additional criterion involving the time interval, compared with the standard WKB criterion considered by Mannella [R. Mannella, Phys. Rev. E 58, 2479 (1999)]. In order to clarify the situation, we compare the WKB solution with the direct numerical solution of the Fokker-Plank equation.

AB - We argue that the validity of the WKB approach for calculating nonequilibrium properties of a nonlinear stochastic system requires an additional criterion involving the time interval, compared with the standard WKB criterion considered by Mannella [R. Mannella, Phys. Rev. E 58, 2479 (1999)]. In order to clarify the situation, we compare the WKB solution with the direct numerical solution of the Fokker-Plank equation.

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ER -

Reply to “Comment on ‘Nonstationary optimal paths and tails of prehistory probability density in multistable stochastic systems’ ”

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