Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields

Rodrigo Bissacot; Eric Ossami Endo; Aernout C.D. van Enter

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Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields

机译：非均匀外部田地凯利树上临界田模型阶段转型的稳定性

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Abstract

We consider the ferromagnetic Ising model with spatially dependent external fields on a Cayley tree, and we investigate the conditions for the existence of the phase transition for a class of external fields, asymptotically approaching a homogeneous critical external field. Our results extend earlier results by Rozikov and Ganikhodjaev.

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抽象

我们考虑使用Cayley树上的空间依赖外部字段的铁磁ising模型，我们调查了该条件一类外场的相位过渡的存在，渐近接近均匀关键外场。我们的结果延伸了Rozikov和Ganikhodjaev的结果。 ]]>

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来源
《Stochastic Processes and Their Applications: An Official Journal of the Bernoulli Society for Mathematical Statistics and Probability》 |2017年第12期|共13页
作者
Rodrigo Bissacot; Eric Ossami Endo; Aernout C.D. van Enter;
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作者单位

Institute of Mathematics and Statistics - IME USP - University of S?o Paulo;

Institute of Mathematics and Statistics - IME USP - University of S?o Paulo;

Department of Mathematics Johann Bernoulli Institute for Mathematics and Computer Science — University of Groningen;

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原文格式 PDF
正文语种 eng
中图分类随机过程;
关键词
Ising model; Cayley tree; Inhomogeneous external fields; Critical field; Phase transition stability;

机译：ising模型;凯利树;不均匀的外部领域;临界领域;相变稳定性;

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专利

1. Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields [J] . Rodrigo Bissacot, Eric Ossami Endo, Aernout C.D. van Enter Stochastic Processes and Their Applications: An Official Journal of the Bernoulli Society for Mathematical Statistics and Probability . 2017,第12期

机译：非均匀外部田地凯利树上临界田模型阶段转型的稳定性
2. WEAKLY PERIODIC GIBBS MEASURES OF THE ISING MODEL WITH AN EXTERNAL FIELD ON THE CAYLEY TREE [J] . Rahmatullaev M. M. Theoretical and mathematical physics . 2015,第3期

机译：Cayley树上带有外场的Iing模型的弱周期吉布斯度量
3. Phase Transitions for Quantum Markov Chains Associated with Ising Type Models on a Cayley Tree [J] . Mukhamedov Farrukh, Barhoumi Abdessatar, Souissi Abdessatar Journal of Statistical Physics . 2016,第3期

机译：Cayley树上与Ising类型模型相关的量子马尔可夫链的相变
4. Ising model on the Cayley tree of third order with inhomogeneous interactions [C] . Nasir Ganikhodjaev, Huda Husna Binti Ibrahim National Symposium on Mathematical Sciences . 2017

机译：在第三顺序的Cayley树上ising模型与不均匀的相互作用
5. Structural transitions of the vortex lattice in anisotropic superconductors and fingering instability of electron droplets in an inhomogeneous magnetic field. [D] . Klironomos, Alexios. 2003

机译：各向异性超导体中涡旋晶格的结构转变和非均匀磁场中电子液滴的指状不稳定性。
6. Transverse fields to tune an Ising-nematic quantum phase transition [O] . Akash V. Maharaj, Elliott W. Rosenberg, Alexander T. Hristov, 2017

机译：横向场可调节Ising向列量子相变
7. Stability of the Phase Transition of Critical-Field Ising Model on Cayley trees under Inhomogeneous External Fields [O] . Bissacot, Rodrigo, Endo, Eric Ossami, van Enter, Aernout C. D. 2016

机译：临界场Ising模型相变的稳定性非均匀外场下的Cayley树
8. Phase Diagram of the Ising Model on a Cayley Tree in the Presence of Competing Interactions and Magnetic Field [R] . Mariz, A. M., Tsallis, C., Albuquerque, E. L. 1984

机译：竞争相互作用和磁场作用下Cayley树上Ising模型的相图

Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields

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