Using the tensor renormalization group method based on the higher-order singular value decomposition, we have studied the phase transitions of the five-state clock model on the square lattice. The temperature dependen...Using the tensor renormalization group method based on the higher-order singular value decomposition, we have studied the phase transitions of the five-state clock model on the square lattice. The temperature dependence of the specific heat indicates the system has two phase transitions, as verified clearly by the correlation function at three representative tem- peratures. By calculating the magnetic susceptibility, we obtained only the upper critical temperature as To2 = 0.9565(7). Investigating the fixed-point tensor, we precisely locate the transition temperatures at Tcl = 0.9029(1) and Tc2 = 0.9520(1), consistent well with the Monte Carlo and the density matrix renormalization group results.展开更多
世界卫生组织(World Health Organization, WHO)强调通过健康促进、疾病预防和早诊早治以提升健康水平。由于疾病种类繁多、观点错杂,病机往往呈现为“多元化”的势态,尤其重大慢病、疑难重症、复合共病更是与复合体质状态密切关联,故...世界卫生组织(World Health Organization, WHO)强调通过健康促进、疾病预防和早诊早治以提升健康水平。由于疾病种类繁多、观点错杂,病机往往呈现为“多元化”的势态,尤其重大慢病、疑难重症、复合共病更是与复合体质状态密切关联,故而从“体病相关”切入探讨是突破疾病预测、预防以及治疗瓶颈的关键。基于多年的研究提出“五行十态体质”创新观点;遵循“天人相应”规律,将传统六十甲子周期理论运用于体质状态研究,综合考虑五运六气交互承制、天干地支本属系统、正化对化、天地二甲子、运气的平气状态等关键因素对人体五脏六腑功能的影响,运用传统“医算法”,依据“生克制化”“胜复郁发”“淫胜郁复”之气机升降特点,详细分析了基础体质与后天体质状态的关联;重视始生之时、疾病始发时、传变时、欲解时以及就诊时等不同节点的运气格局对人体的影响,以揭示体质特异性与相应系统疾病的易感性以及脏腑复合病机主、次标本的关系,预判健康状态与疾病不同阶段的病机、病势演变,为临床疾病的预测、预防、个体化干预以及群体化防治提供指导思路。展开更多
基金Project supported by the Fundamental Research Funds for the Central Universities,China(Grant No.531107040857)the Natural Science Foundation of Hunan Province,China(Grant No.851204035)the National Natural Science Foundation of China(Grant No.11774420)
文摘Using the tensor renormalization group method based on the higher-order singular value decomposition, we have studied the phase transitions of the five-state clock model on the square lattice. The temperature dependence of the specific heat indicates the system has two phase transitions, as verified clearly by the correlation function at three representative tem- peratures. By calculating the magnetic susceptibility, we obtained only the upper critical temperature as To2 = 0.9565(7). Investigating the fixed-point tensor, we precisely locate the transition temperatures at Tcl = 0.9029(1) and Tc2 = 0.9520(1), consistent well with the Monte Carlo and the density matrix renormalization group results.
文摘世界卫生组织(World Health Organization, WHO)强调通过健康促进、疾病预防和早诊早治以提升健康水平。由于疾病种类繁多、观点错杂,病机往往呈现为“多元化”的势态,尤其重大慢病、疑难重症、复合共病更是与复合体质状态密切关联,故而从“体病相关”切入探讨是突破疾病预测、预防以及治疗瓶颈的关键。基于多年的研究提出“五行十态体质”创新观点;遵循“天人相应”规律,将传统六十甲子周期理论运用于体质状态研究,综合考虑五运六气交互承制、天干地支本属系统、正化对化、天地二甲子、运气的平气状态等关键因素对人体五脏六腑功能的影响,运用传统“医算法”,依据“生克制化”“胜复郁发”“淫胜郁复”之气机升降特点,详细分析了基础体质与后天体质状态的关联;重视始生之时、疾病始发时、传变时、欲解时以及就诊时等不同节点的运气格局对人体的影响,以揭示体质特异性与相应系统疾病的易感性以及脏腑复合病机主、次标本的关系,预判健康状态与疾病不同阶段的病机、病势演变,为临床疾病的预测、预防、个体化干预以及群体化防治提供指导思路。