为格子气体模型构建张量网络:硬核和三角格子模型
1Department of Chemistry and Chemical Engineering, Omsk State Technical University, Mira Ave. 11, Omsk 644050, Russian Federation.
Physical review. E
|June 17, 2023
概括
本研究探讨了用于格子模型的两个张量网络构建方法. 不同的施工方法影响计算准确性,对4近邻 (NN) 和5NN模型的精炼阶段过渡估计.
科学领域:
- 统计力学 统计力学
- 计算物理 计算物理
背景情况:
- 张量网络表示是分析复杂格子模型热力学的关键.
- 对于相同的模型,存在多个张量网络构造,可能会影响结果.
研究的目的:
- 调查不同的张量网络构建方法如何影响计算准确性.
- 分析4NN,5NN和修改的4NN模型的吸附同热量,和热容.
- 改进相位过渡点估计,并识别复杂模型中的相位过渡.
主要方法:
- 开发并比较了两个不同的张量网络构建技术.
- 研究了4个近邻 (NN) 和5NN网格模型,具有硬核排斥.
- 分析了一个具有有限排斥的4NN模型,涉及第五个邻居.
主要成果:
- 证明张量网络构建过程显著影响热力学计算的准确性.
- 所有研究模型的吸附同热量,和热容量图表.
- 改进了4NN和5NN模型的相变点估计,并在有限相互作用模型中确定了两个第一阶相变点.
结论:
- 张量网络构造方法的选择对于对格子模型的准确热力学分析至关重要.
- 该研究提供了改进的相位过渡数据,并揭示了有限相互作用模型中的复杂相位行为.
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