Dynamical analysis of low-temperature monte carlo cluster algorithms
Dynamical analysis of low-temperature monte carlo cluster algorithms
复制标题
低温蒙特卡罗聚类算法的动力学分析
DOI：
10.1007/bf01054422
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发表时间：
1992
影响因子：
1.6
通讯作者：
F. Martinelli
中科院分区：
文献类型：
--
作者：
F. Martinelli
本文给出了在热力学极限下，无外场条件下低温伊辛铁磁体的Swendsen-Wang动力学结果。我们讨论特别是收敛到平衡吉布斯状态的速度在有限和无限体积，遍历性的无限体积的情况下，和各种初始配置的动力学的概率分布的长时间行为。我们的结果是纯动力学性质的，因为我们从来没有使用过程关于Gibbs态的可逆性，并且它们适用于具有非Gibbs不变测度的随机粒子系统。
We present results on the Swendsen-Wang dynamics for the Ising ferromagnet in the low-temperature case without external field in the thermodynamic limit. We discuss in particular the rate of convergence to the equilibrium Gibbs state in finite and infinite volume, the absence of ergodicity in the infinite volume, and the long-time behavior of the probability distribution of the dynamics for various starting configurations. Our results are purely dynamical in nature in the sense that we never use the reversibility of the process with respect to the Gibbs state, and they apply to a stochastic particle system withnon- Gibbsian invariant measure.