熵与绝热去磁制冷的物理原理

本文从熵的观点出发,利用热力学,统计物理与量子力学理论分别从宏观与微观的角度对磁制冷的物理原理进行了初等分析。     

熵的一种通俗教法

熵如力、能量和动量一样是物理学中一个重要概念,若能用一种通俗易懂的方法设计熵的教学,对文科物理的教学有重要意义.为此本文提出了一种通俗的熵的教法,这一教法不需要学生学习热力学第二定律也可以建立熵的概念.具体教学设计如下:通过日常生活例子引入熵的概念(也就是玻尔兹曼熵),设计两个例子让学生会计算熵,通过具体问题的讨论让学生充分理解熵的意义,通过一个实例由玻尔兹曼熵引入克劳修斯熵公式,设计一个演示实验强化教学效果,将熵与环境保护联系起来融入人文情怀,最后还强调了熵计算的不同层次.教学设计完全采用基于问题学习(PBL)的教学模式.     

Pd基非晶合金动态弛豫机制和应力松弛行为

作为潜在的功能及结构材料,高熵非晶合金在凝聚态物理和力学领域引起广泛的研究兴趣.高熵非晶合金宏观力学性能与微观结构非均匀性之间的关联是当前重要的科学问题之一.本文选取非晶形成能力良好的Pd_42.5Cu₃₀Ni_7.5P₂₀非晶合金和Pd₂₀Pt₂₀Cu₂₀Ni₂₀P₂₀高熵非晶合金作为模型体系,借助于动态弛豫行为及应力松弛实验建立了温度和物理时效对非晶合金高温变形机制与微观结构非均匀性之间的关联.研究结果表明Pd基非晶合金表现出“肩膀峰”β弛豫形式.玻璃转变温度以下物理时效非晶合金体系原子移动性导致β弛豫肩膀峰往更高的温度迁移.在应力松弛过程中,由于高构型熵的引入降低吉布斯自由能,这是高熵非晶合金具有较高激活能的原因.高熵非晶合金更难被激活,需要突破更高的能量势垒.物理时效时间增加,高熵非晶合金流变单元更小,这也得益于多主元高熵非晶合金慢扩散效应.高熵非晶合金激活体积的改变在物理时效下应力松弛...     

整形激光加载的一维准等熵压缩仿真

基于凝聚态物质等熵线推导了理想等熵假设前提下的加载压力和加载激光波形,进而将其作为输入条件,利用辐射流体力学程序MULTI开展了Al材料的一维准等熵压缩仿真,通过材料温度、压强、密度、粒子速度和熵增五个参量描述了准等熵加载的物理过程。结果显示得到了高等熵程度加载过程,可为即将开展的整形激光加载的准等熵实验提供参考。     

经典实际气体混合后的压强与熵

本文计算了任意组元的经典实际气体混合后的压强与熵，从而证明了实际气体混合后并不遵从道尔顿分压定律和吉布斯熵定理；与经典理想气体相比，讨论了实际气体混合后修正项的物理意义。     

大学物理中熵的教学探讨

讨论了大学物理教材中熵的宏观定义和微观定义,给出熵概念的延拓,并结合教学实践,指出熵基本概念的讲述可建立在学生已有的物理知识和数学基础上,鼓励学生自主探索熵在生活和学科中的应用.     

熵概念的演化

介绍了熵概念从建立到化、从进化直至泛化的整个发展过程,由此反映出物理概念和理论已成为众多新学科的理论基础,物理学在科学综合发展中起着先导作用。     

非平衡统计信息理论

阐述了以表述信息演化规律的信息（熵）演化方程为核心的非平 衡统计信息理论.推导出了 Shannon信息（熵）的非线性演化方程，引入了统计物理信息并 推导出了它的非线性演化方程.这两种信息（熵）演化方程一致表明：统计信息（熵）密度 随时间的变化率是由其在坐标空间（和态变量空间）的漂移、扩散和减损（产生）三者引起 的.由此方程出发，给出了统计信息减损率和统计熵产生率的简明公式、漂移信息流和扩散 信息流的表达式，证明了非平衡系统内的统计信息减损（或增加）率等于它的统计熵产生（ 或减少）率、信息扩散与信息减损同时 关键词： 统计信息（熵）演化方程 统计信息减损率 统计熵产 生率 信息（熵）流 信息（熵）扩散 动态互信息     

固体材料在近平衡态下的热物理特性

在所推导出来的固体材料定应变热容，内能，熵公式的基础上，分析了材料的德拜温度、格律乃森系数、线热膨胀系数等热物理特征参量与固体材料内能、熵之间的关系，给出了相应的数学物理公式。     

信息论的物理基础

生活在信息时代,人们迫切需要知道有关信息知识,需要了解信息论中的奥秘.为此,首先需要了解信息论的物理基础. 信息论在社会科学(如经济管理)和自然科学(如无线电通信)中都得到了广泛的应用.信息论中最重要和最基本的信息熵公式,信息量变化所遵守的最重要和最基本的规律(信息量传递的普遍原则)都是信息论中的核心部分.然而这部分内容和物理学的紧密联系至今仍鲜为人知.本文从热力学与统计物理的原理出发,证明了统计物理熵与信息熵的联系,说明了统计物理H函数与信息量(负熵)的联系,提出了广义开放系统的熵变可分为三部分的设想,以统一的公式…     

Entropy of Dilatonic Black Hole

By using the method of quantum statistics, we directly derive the partition function of bosonic and fermionic field in dilatonic black hole and obtain the integral expression of the black hole's entropy, which avoids the difficulty in solving the wave equationof various particles. Then via the improved brick-wall method, membrane model, we obtain that we can choose proper parameter in order to let the thickness of film tend to zero and have it approach the surface of its horizon. Consequently the entropy of the black hole is proportional to the area of its horizon. In our result, the stripped term and the divergent logarithmic term in the original brick-wall method no longer exist. In the whole process, physics idea is clear; calculation is simple. We offer a new simple and direct way of calculating the entropy of different complicated black holes.     

A general information theoretical proof for the second law of thermodynamics

It is shown that the conservation and the non-additivity of the information, together with the additivity of the entropy, make the entropy increase in an isolated system. The collapse of the entangled quantum state offers an example of the information non-additivity. Nevertheless, the non-additivity of information is also true in other fields in which the interaction information is important. Examples are classical statistical mechanics, social statistics and financial processes. The second law of thermodynamics is thus proven in its most general form. It is exactly true not only in quantum and classical physics but also in other processes in which the information is conservative and non-additive. Supported by the National Natural Science Foundation of China (Grant No. 10305001)     

Quantum games entropy

We propose the study of quantum games from the point of view of quantum information theory and statistical mechanics. Every game can be described by a density operator, the von Neumann entropy and the quantum replicator dynamics. There exists a strong relationship between game theories, information theories and statistical physics. The density operator and entropy are the bonds between these theories. The analysis we propose is based on the properties of entropy, the amount of information that a player can obtain about his opponent and a maximum or minimum entropy criterion. The natural trend of a physical system is to its maximum entropy state. The minimum entropy state is a characteristic of a manipulated system, i.e., externally controlled or imposed. There exist tacit rules inside a system that do not need to be specified or clarified and search the system equilibrium based on the collective welfare principle. The other rules are imposed over the system when one or many of its members violate this principle and maximize its individual welfare at the expense of the group.     

Entanglement entropy, decoherence, and quantum phase transitions of a dissipative two-level system

The concept of entanglement entropy appears in multiple contexts, from black hole physics to quantum information theory, where it measures the entanglement of quantum states. We investigate the entanglement entropy in a simple model, the spin-boson model, which describes a qubit (two-level system) interacting with a collection of harmonic oscillators that models the environment responsible for decoherence and dissipation. The entanglement entropy allows to make a precise unification between entanglement of the spin with its environment, decoherence, and quantum phase transitions. We derive exact analytical results which are confirmed by Numerical Renormalization Group arguments both for an ohmic and a subohmic bosonic bath. The entanglement entropy obeys universal scalings. We make comparisons with entanglement properties in the quantum Ising model and in the Dicke model. We also emphasize the possibility of measuring this entropy using charge qubits subject to electromagnetic noise; such measurements would provide an empirical proof of the existence of entanglement entropy.     

The Sign and Micro-Origin of Complexity as Entropy (Conjectured Resolution of a Paradox)

Evolution produces ever more ordered matter, while also increasing its complexity all the time. There are various ways of measuring complexity, such as Kolmogorov's algorithmic complexity, drawn from information theory, and identified with entropy, enchancing irreversibility in harmony with the second law of thermodynamics. On the other hand, however, the creation of order should have reduced entropy; quoting Schroedinger, it represents "negentropy." To resolve this apparent contradiction we first review a similar set up (though with a totally different interaction) occurring in black holes, a model in which the physics are now explicit and fully understood at the quantum level.     

熵产生率公式及其应用

导出了6N维和6维相空间的熵产生率，即熵增加定律的一个统计公式：P=kD(Δ_{qθ)²，即熵产生率P等于扩散系数D、离开平衡率θ的空间梯度平方的平均值与Boltzm ann常数k 三者之乘积.指明非平衡系统的宏观熵产生是由其微观状态数密度在空间随机地不均匀离开 平衡引起的.作为公式的应用,研究了气体自由膨胀、布朗运动及固体变形和断裂三个非平衡 态课题，给出了它们的熵产生及其一次和二次时间变化率，得到了不可逆过程的系统内对应 的微观结构变化是不均匀的推论.进而导 关键词： 熵产生率 微观状态数密度 离开平衡率 随机扩散}     

Quantum entanglement in the Sachdev–Ye–Kitaev model and its generalizations

Entanglement is one of the most important concepts in quantum physics. We review recent progress in understanding the quantum entanglement in many-body systems using large-N solvable models: the Sachdev–Ye–Kitaev (SYK) model and its generalizations. We present the study of entanglement entropy in the original SYK model using three different approaches: the exact diagonalization, the eigenstate thermalization hypothesis, and the pathintegral representation. For coupled SYK models, the entanglement entropy shows linear growth and saturation at the thermal value. The saturation is related to replica wormholes in gravity. Finally, we consider the steady-state entanglement entropy of quantum many-body systems under repeated measurements. The traditional symmetry breaking in the enlarged replica space leads to the measurement-induced entanglement phase transition.