基础理论纵贯化学学科:吉林大学“统计力学与分子模拟”课程建设*

化学的基础理论的演进不断重塑着化学学科。传统的教学体系所依据的理论范式落后于现代化学理论的发展。吉林大学化学学院面向本科学生开设了“统计力学与分子模拟”课程。针对吉林大学本科学生的特点,精心安排了教学内容,通盘考虑知识体系的衔接,优化了教学方法。同时,淬炼了课程中的思政元素,从而在思想、道德、知识等3个方面进一步提升学生的综合素质。     

Pair correlations in scale-free networks

Correlation between nodes is found to be a common and important property in many complex networks. Here we investigate degree correlations of the Barabasi－Albert (BA) scale-free model with both analytical results and simulations, and find two neighbouring regions, a disassortative one for low degrees and a neutral one for high degrees. The average degree of the neighbours of a randomly picked node is expected to diverge in the limit of infinite network size. As a generalization of the concept of correlation, we also study the correlations of other scalar properties, including age and clustering coefficient. Finally we propose a correlation measurement in bipartite networks.     

液体的表面张力与内压

在利用Onsager模型推导液体表面张力与内压间的关系时,文献[4]忽视了曲率对表面张力的影响,致使计算值与实验值的偏差较大。本文对此作了修正,建立了一个新的关系式,用实验数据检验表明,它能满意地适用于广阔温度范围内的各种液体。     

一位理论物理学大师人生的第二个春天——读杨振宁先生Selected Papers Ⅱ With Commentaries有感

<正>1982年,杨振宁先生在60寿辰之际,一反庆祝著名科学家寿辰出版纪念文集(Festschrift)的惯例,亲自选编并出版了他的《文选暨评注》(Selected Papers With Commentary,以下简称《文选》)[1],共600页。在这本文选中,杨先生从他撰写的二百余篇论文中选择了75篇论文,并为每篇选文一一撰写了评注。评注共约80页,集中放在75篇选文的前面,中间附有25张照片。     

饱和水蒸汽与水的焓与熵参数的新关联式

饱和水蒸汽与水的焓与熵参数的新关联式李斯特，马润梅，吴冷（北京化工大学机械工程系北京１０００２９）关键词统计力学，剩余函数，焓与熵１引言本文根据统计力学与热力学剩余函数原理，结合本课题组曾已建立的饱和水蒸汽与水的新简明状态方程模型，经推导出一则适合于...     

关于相对论等离子体统计力学的一些问题

相对论统计力学的发展已近一个世纪，目前仍处于有争议阶段，本文对相对论等离子体理论的发展、基本概念和一些问题作一简要评述。     

统计分布的统一形式

采用量大熵原理作为统计力学基本假设，简洁地导出系统微观态的概率分布，引入一套符号规定，将众多形式的统计分布，热力学公式、涨落公式归纳为极易掌握和记忆的统一形式。     

Bekenstein-Hawking Cosmological Entropy and Correction Term Corresponding Cosmological Horizon of Rotating and Charged Black String

Utilizing the quantum statistical method and applying the new state density equation motivated by generalized uncertainty principle in quantum gravitaty, we avoid the difficulty in solving wave equation and directly calculate the partition function of bosonic and fermionic field on the background of rotating and charged black string. Then near the cosmological horizon, entropies of bosonic and fermionic field are calculated on the background of black string. When constant A introduced in generalized uncertainty principle takes a proper value, we derive Bekenstein- Hawking entropy and the correction value corresponding cosmologicaJ horizon on the background of rotating and charged black string. Because we use the new state density equation, in our calculation there are not divergent term and small mass approximation in the original brick-wall method. From the view of quantum statistic mechanics, the correction value to Bekenstein-Hawking entropy of the black string is derived. It makes people deeply understand the correction value to the entropy of the black string cosmological horizon in non-spherical coordinate spacetime.     

Statistical-Mechanical Entropy of a Black Hole with a Global Monopole to All Orders in Planck Length

Considering corrections to all orders in the Planck length on the quantum state density from the generalized uncertainty principle, we calculate the statistical entropy of the scalar field in the global monopole black hole spacetime without any artificial cutoff. It is shown that the entropy is proportional to the horizon area.