非均匀磁场作用下铁磁伊辛模型的相变
Phase Transition in Ferromagnetic Ising Models with Non-Uniform External Magnetic Fields
摘要：
本文研究了非均匀外磁场作用下伊辛模型的相变现象。我们证明了在可和磁场作用下超立方晶格上的伊辛模型存在一级相变，并且对于任意正的（分别为1.负）和有界磁场时，模型不存在相变现象，其中$\liminf h_i> 0$是外部磁场。
英文摘要：
In this article we study the phase transition phenomenon for the Ising model under the action of a non-uniform external magnetic field. We show that the Ising model on the hypercubic lattice with a summable magnetic field has a first-order phase transition and, for any positive (resp. negative) and bounded magnetic field, the model does not present the phase transition phenomenon whenever $\liminf h_i> 0$, where ${\bf h} = (h_i)_{i \in \Z^d}$ is the external magnetic field.
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