Phase transition in an interacting Bose system. An application of the theory of Ventsel' and Freidlin

Phase transition in an interacting Bose system. An application of the theory of Ventsel' and Freidlin
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交互 Bose 系统中的相变。

DOI:
10.1007/bf01027300
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发表时间:
1990
影响因子:
1.6
通讯作者:
B. Tóth
B. Tóth
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
B. Tóth

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本文考虑了一个具有V个顶点的完全图上N个玻色子通过硬核排斥相互作用的系统。利用动力学系统随机扰动的Ventsel ′-Freidlin大偏差理论,计算了热力学极限下的正则自由能,证明了系统存在相变。
We consider a system ofN bosons on a complete graph withV vertices interacting through hard core repulsion. With the use of the Ventsel'-Freidlin large-deviation theory of random perturbation of dynamical systems, we calculate the canonical free energy in the thermodynamic limit and prove that the system exhibits a phase transition.