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 - <p style="text-align: justify;">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.</p>