full
search.png

Search

close.png

Cancel

arrow
Volume 41, Issue 5
Double Flip Move for Ising Models with Mixed Boundary Conditions

Lexing Ying

DOI: 10.4208/jcm.2211-m2022-0186

J. Comp. Math., 41 (2023), pp. 1003-1016.

Published online: 2023-09

Preview Purchase PDF 619 10923

Cited by

google scholar semantic scholar
Export citation
  • Abstract

This note introduces the double flip move to accelerate the Swendsen-Wang algorithm for Ising models with mixed boundary conditions below the critical temperature. The double flip move consists of a geometric flip of the spin lattice followed by a spin value flip. Both symmetric and approximately symmetric models are considered. We prove the detailed balance of the double flip move and demonstrate its empirical efficiency in mixing.

  • Keywords

Ising model, Mixed boundary condition, Swendsen-Wang algorithm.

  • AMS Subject Headings

82B20, 82B80

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-41-1003, author = {Ying , Lexing}, title = {Double Flip Move for Ising Models with Mixed Boundary Conditions}, journal = {Journal of Computational Mathematics}, year = {2023}, volume = {41}, number = {5}, pages = {1003--1016}, abstract = {

This note introduces the double flip move to accelerate the Swendsen-Wang algorithm for Ising models with mixed boundary conditions below the critical temperature. The double flip move consists of a geometric flip of the spin lattice followed by a spin value flip. Both symmetric and approximately symmetric models are considered. We prove the detailed balance of the double flip move and demonstrate its empirical efficiency in mixing.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2211-m2022-0186}, url = {http://global-sci.org/intro/article_detail/jcm/22018.html} }
TY - JOUR T1 - Double Flip Move for Ising Models with Mixed Boundary Conditions AU - Ying , Lexing JO - Journal of Computational Mathematics VL - 5 SP - 1003 EP - 1016 PY - 2023 DA - 2023/09 SN - 41 DO - http://doi.org/10.4208/jcm.2211-m2022-0186 UR - https://global-sci.org/intro/article_detail/jcm/22018.html KW - Ising model, Mixed boundary condition, Swendsen-Wang algorithm. AB -

This note introduces the double flip move to accelerate the Swendsen-Wang algorithm for Ising models with mixed boundary conditions below the critical temperature. The double flip move consists of a geometric flip of the spin lattice followed by a spin value flip. Both symmetric and approximately symmetric models are considered. We prove the detailed balance of the double flip move and demonstrate its empirical efficiency in mixing.

Lexing Ying. (2023). Double Flip Move for Ising Models with Mixed Boundary Conditions. Journal of Computational Mathematics. 41 (5). 1003-1016. doi:10.4208/jcm.2211-m2022-0186
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard