Approach to Fixation for Zero-Temperature Stochastic Ising Models on the Hexagonal Lattice
Approach to Fixation for Zero-Temperature Stochastic Ising Models on the Hexagonal Lattice
复制标题
六方晶格零温随机Ising模型的固定方法
DOI：
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复制
发表时间：
2001
期刊：
影响因子：
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通讯作者：
V. Sidoravicius
中科院分区：
文献类型：
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作者：
F. Camia;C. Newman;V. Sidoravicius
We investigate zero-temperature dynamics on the hexagonal lattice ” for the homogeneous ferromagnetic Ising model with zero external magnetic field and a disordered ferromagnetic Ising model with a positive external magnetic fieldh.We consider both continuous time (asynchronous) processes and, in the homogeneous case, also discrete time synchronous dynamics (i.e., a deterministic cellular automaton), alternating between two sublattices of ”. The state space consists of assignments of -1 or +1 to each site of ℍ, and the processes are zero-temperature limits of stochastic Ising ferromagnets with Glauber dynamics and a random (i.i.d. Bernoulli) spin configuration at time O. We study the speed of convergence of the configurationo tat time t to its limito ∞and related issues.
