Stochastic analysis of nucleation rates
(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
- 2024-06-28 11:40:44
@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}}, }