This note introduces the double flip move for accelerating 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 the symmetric and approximately symmetric models are considered. We prove the detailed balance of the double flip move and demonstrate its empirical efficiency in mixing.
翻译:本说明引入了加速 Swendsen-Wang 算法的双翻动作, 用于在临界温度以下混合边界条件的Ising 模型。 双翻动作由旋转边板的几何翻动组成, 然后是旋转值翻转。 既考虑对称模型,又考虑近似对称模型。 我们证明了双翻移动的详细平衡, 并展示了它混合的经验效率 。