Stochastic analysis of nucleation rates
Johansson, Jonas LU
(2016)
In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
93(2).
- Abstract
We show that approximating the Becker-Döring equations with a Langevin equation results in multiplicative noise, which in turn leads to a family of possible Fokker-Planck equations according to the Ito-Stratonovich dilemma. Using a simple and general model for the attachment and detachment rates, we find that the Ito choice approximates the nucleation rate best and also coincides with the Fokker-Planck equation resulting from the common way to Taylor expand the original set of rate equations.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/96340e61-e4b7-49d7-ad78-4e905eb11103
- author
- Johansson, Jonas
LU
- organization
- publishing date
- 2016-02-19
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
- volume
- 93
- issue
- 2
- article number
- 022801
- publisher
- American Physical Society
- external identifiers
-
- scopus:84959450475
- pmid:26986388
- wos:000370620200007
- ISSN
- 1539-3755
- DOI
- 10.1103/PhysRevE.93.022801
- language
- English
- LU publication?
- yes
- id
- 96340e61-e4b7-49d7-ad78-4e905eb11103
- date added to LUP
- 2016-06-28 12:28:08
- date last changed
- 2024-01-04 09:05:49
@article{96340e61-e4b7-49d7-ad78-4e905eb11103,
abstract = {{<p>We show that approximating the Becker-Döring equations with a Langevin equation results in multiplicative noise, which in turn leads to a family of possible Fokker-Planck equations according to the Ito-Stratonovich dilemma. Using a simple and general model for the attachment and detachment rates, we find that the Ito choice approximates the nucleation rate best and also coincides with the Fokker-Planck equation resulting from the common way to Taylor expand the original set of rate equations.</p>}},
author = {{Johansson, Jonas}},
issn = {{1539-3755}},
language = {{eng}},
month = {{02}},
number = {{2}},
publisher = {{American Physical Society}},
series = {{Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}},
title = {{Stochastic analysis of nucleation rates}},
url = {{http://dx.doi.org/10.1103/PhysRevE.93.022801}},
doi = {{10.1103/PhysRevE.93.022801}},
volume = {{93}},
year = {{2016}},
}