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Stochastic analysis of nucleation rates

Johansson, Jonas LU (2016) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00 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.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00
volume
93
issue
2
publisher
American Physical Society
external identifiers
  • Scopus:84959450475
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
2016-09-20 03:01:36
@misc{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    = {ARRAY(0x76cd720)},
  series       = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00},
  title        = {Stochastic analysis of nucleation rates},
  url          = {http://dx.doi.org/10.1103/PhysRevE.93.022801},
  volume       = {93},
  year         = {2016},
}