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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

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  • 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

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@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.

Ying , Lexing. (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
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