Dynamics near a first-order phase transition with the Metropolis and Swendsen-Wang algorithms
Billoire, A. ; Lacaze, R. ; Morel, A. ; Gupta, Sourendu ; Irbäck, A. LU
and Petersson, B.
(1991)
In Nuclear Physics, Section B
358(1).
p.231-248
- Abstract
We have simulated the 10-state 2d Potts model with the Metropolis and Swendsen-Wang algorithms, in order to compare their performances near a first-order phase transition. We show that a simple Markov model relates the frequencies of the flips between coexisting phases and the auto-correlation times. It leads to a coherent description of the dynamics. The ratio of the algorithm efficiencies has little temperature dependence. A slight increase of the cluster algorithm efficiency with volume, as compared to the Metropolis method, is suggested.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/8a5b7de3-c38d-405f-b54f-97581f69952b
- author
- Billoire, A.
; Lacaze, R.
; Morel, A.
; Gupta, Sourendu
; Irbäck, A.
LU
and Petersson, B.
- publishing date
- 1991-07-08
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Nuclear Physics, Section B
- volume
- 358
- issue
- 1
- pages
- 18 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:0001038885
- ISSN
- 0550-3213
- DOI
- 10.1016/0550-3213(91)90539-A
- language
- English
- LU publication?
- no
- id
- 8a5b7de3-c38d-405f-b54f-97581f69952b
- date added to LUP
- 2019-05-14 15:04:07
- date last changed
- 2025-10-14 09:54:13
@article{8a5b7de3-c38d-405f-b54f-97581f69952b,
abstract = {{<p>We have simulated the 10-state 2d Potts model with the Metropolis and Swendsen-Wang algorithms, in order to compare their performances near a first-order phase transition. We show that a simple Markov model relates the frequencies of the flips between coexisting phases and the auto-correlation times. It leads to a coherent description of the dynamics. The ratio of the algorithm efficiencies has little temperature dependence. A slight increase of the cluster algorithm efficiency with volume, as compared to the Metropolis method, is suggested.</p>}},
author = {{Billoire, A. and Lacaze, R. and Morel, A. and Gupta, Sourendu and Irbäck, A. and Petersson, B.}},
issn = {{0550-3213}},
language = {{eng}},
month = {{07}},
number = {{1}},
pages = {{231--248}},
publisher = {{Elsevier}},
series = {{Nuclear Physics, Section B}},
title = {{Dynamics near a first-order phase transition with the Metropolis and Swendsen-Wang algorithms}},
url = {{http://dx.doi.org/10.1016/0550-3213(91)90539-A}},
doi = {{10.1016/0550-3213(91)90539-A}},
volume = {{358}},
year = {{1991}},
}