Dynamics near a first-order phase transition with the Metropolis and Swendsen-Wang algorithms
(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.
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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
- North-Holland
- 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
- 2021-03-21 03:17:04
@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 = {{North-Holland}}, 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}}, }