具有竞争性相互作用的一维伊辛模型产生的随机过程

Q4 Mathematics

Theory of Stochastic Processes Pub Date : 2024-07-18 DOI:10.3842/tsp-2702069172-88

N.N. Ganikhodjaev

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引用次数: 0

摘要

我们考虑了一个由具有竞争相互作用的一维伊辛模型产生的随机过程，并描述了这一过程的所有分布。结果表明，所有极限吉布斯量的集合，即相图，由铁磁相、反铁磁相、顺磁性相和调制相组成。

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Stochastic process generated by 1-D Ising model with competing interactions

We consider a stochastic process generated by 1-D Ising model with competing interactions and describe all distributions of this process. It is shown that the set of all limit Gibbs measures, i.e. phase diagram, consist of ferromagnetic, anti-ferromagnetic, paramagnetic and modulated phases. Also it is proven that on the set of ferromagnetic phases one can reach the phase transition.

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来源期刊

Theory of Stochastic Processes Mathematics-Applied Mathematics

CiteScore

0.20

自引率

0.00%

发文量