Double Flip Move for Ising Models with Mixed Boundary Conditions

Double Flip Move for Ising Models with Mixed Boundary Conditions

Year:    2023

Author:    Lexing Ying

Journal of Computational Mathematics, Vol. 41 (2023), Iss. 5 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.2211-m2022-0186

Journal of Computational Mathematics, Vol. 41 (2023), Iss. 5 : pp. 1003–1016

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Ising model Mixed boundary condition Swendsen-Wang algorithm.

Author Details

Lexing Ying