On the origin of phase transitions in the absence of symmetry-breaking
On the origin of phase transitions in the absence of symmetry-breaking
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DOI：
10.1016/j.physa.2018.10.001
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发表时间：
2019-02-15
影响因子：
3.3
通讯作者：
Pettini, Marco
中科院分区：
文献类型：
--
作者：
Pettini, Giulio;Gori, Matteo;Pettini, Marco
本文研究了三维格点规范模型的哈密顿动力学。我们的模型哈密顿量是基于三维伊辛模型的对偶变换的连续化形式定义的。这样得到的系统在没有整体对称性破缺的情况下经历了热力学相变，因此在没有序参数的情况下发生了热力学相变。结果发现，该模型所经历的一阶相变符合Ehrenfest类相变分类的微正则形式，适用于构型熵。讨论了为什么位形熵三阶导数的看似发散行为是位形空间等势子流形更深层次几何跃迁的结果，而位形空间等势子流形又很可能是更深层次的拓扑型跃迁的“影子”。(C)2018爱思唯尔B.V.保留所有权利。
In this paper we investigate the Hamiltonian dynamics of a lattice gauge model in three spatial dimensions. Our model Hamiltonian is defined on the basis of a continuum version of a duality transformation of a three dimensional Ising model. The system so obtained undergoes a thermodynamic phase transition in the absence of a global symmetry-breaking and thus in the absence of an order parameter. It is found that the first order phase transition undergone by this model fits into a microcanonical version of an Ehrenfest-like classification of phase transitions applied to the configurational entropy. It is discussed why the seemingly divergent behaviour of the third derivative of configurational entropy is the effect of a deeper geometrical transition of the equipotential submanifolds of configuration space, which, in its turn, is likely to be the "shadow" of an even deeper transition of topological kind. (C) 2018 Elsevier B.V. All rights reserved.