New Neumerical Method to Calculate Time-Dependent Quantum Properties in Finite Temperature Based on the Heisenberg Equation of Motion

For the purpose of computer calculation to evaluate time-dependent quantum properties in finite temperature, we propose new numerical method expressed in the forms of simultaneous differential equations. At first we derive the equation of motion in finite temperature, which is found to be same expression as Heisenberg equation of motion except for the c-number. Based on this equation, we construct numerical method to estimate time-dependent physical properties in finite temperature precisely without using analytical procedures such as Keldysh formalism. Since our approach is so simple and is based on the simultaneous differential equations including no terms related to self-energies, computer programming can be easily performed. It is possible to estimate exact time-dependent physical properties, providing that Hamiltonian of the system is taken to be a one-electron picture. Furthermore, we refer to the application to the many body problem and it is numerically possible to calculate physical properties using Hartree Fock approximation. Our numerical method can be applied to the case even when perturbative Hamiltonians are newly introduced or Hamiltonian shows complex time-dependent behavior. In this article, at first, we derive the equation of motion in finite temperature. Secondly, for the purpose of verification and of exhibiting the usefulness, we show the derivation of gap equation of superconductivity and of sum rule of electrical conductivity and the application to the many body problem. Finally we apply this method to these two cases: the first case is most simplified resonance charge transfer neutralization of an ion and the second is the same process but impurity potential is newly introduced as perturbative Hamiltonian. Through both cases, it is found that neutralization process is not so sensitive to temperature, however, impurity potential as small as 10 meV strongly influences the neutralization of ion.

The Application of Thermomechanical Dynamics (TMD) to Thermoelectric Energy Generation by Employing a Low Temperature Stirling Engine

A thermoelectric generation Stirling engine (TEG-Stirling engine) is discussed by employing a low temperature Stirling engine and the dissipative equation of motion derived from the method of thermomechanical dynamics (TMD). The results and mechanism of axial flux electromagnetic induction (AF-EMI) are applied to a low temperature Stirling engine, resulting in a TEG-Stirling engine. The method of TMD produced thermodynamically consistent and time-dependent physical quantities for the first time, such as internal energy ℰ(t), thermodynamic work Wth(t), the total entropy (heat dissipation) Qd(t)and measure or temperature of a nonequilibrium state T˜(t). The TMD analysis produced a lightweight mechanical system of TEG-Stirling engine which derives electric power from waste heat of temperature (40˚CT100˚C) by a thermoelectric conversion method. An optimal low rotational speed about 30θ′(t)/(2π)60(rpm) is found, applicable to devices for sustainable, clean energy technologies. The stability of a thermal state and angular rotations of TEG-Stirling engine are specifically shown by employing properties of nonequilibrium temperature T˜(t), which is also applied to study optimal fuel-injection and combustion timings of heat engines.

Thermomechanical Dynamics (TMD) and Bifurcation-Integration Solutions in Nonlinear Differential Equations with Time-Dependent Coefficients

The new independent solutions of the nonlinear differential equation with time-dependent coefficients (NDE-TC) are discussed, for the first time, by employing experimental device called a drinking bird whose simple back-and-forth motion develops into water drinking motion. The solution to a drinking bird equation of motion manifests itself the transition from thermodynamic equilibrium to nonequilibrium irreversible states. The independent solution signifying a nonequilibrium thermal state seems to be constructed as if two independent bifurcation solutions are synthesized, and so, the solution is tentatively termed as the bifurcation-integration solution. The bifurcation-integration solution expresses the transition from mechanical and thermodynamic equilibrium to a nonequilibrium irreversible state, which is explicitly shown by the nonlinear differential equation with time-dependent coefficients (NDE-TC). The analysis established a new theoretical approach to nonequilibrium irreversible states, thermomechanical dynamics (TMD). The TMD method enables one to obtain thermodynamically consistent and time-dependent progresses of thermodynamic quantities, by employing the bifurcation-integration solutions of NDE-TC. We hope that the basic properties of bifurcation-integration solutions will be studied and investigated further in mathematics, physics, chemistry and nonlinear sciences in general.

The Application of Thermomechanical Dynamics (TMD) to the Analysis of Nonequilibrium Irreversible Motion and a Low-Temperature Stirling Engine

We applied the method of Thermomechanical Dynamics (TMD) to a low-temperature Stirling engine, and the dissipative equation of motion and time-evolving physical quantities are self-consistently calculated for the first time in this field. The thermomechanical states of the heat engine are in Nonequilibrium Irreversible States (NISs), and time-dependent thermodynamic work W(t), internal energy E(t), energy dissipation or entropy Qd(t), and temperature T(t), are precisely studied and computed in TMD. We also introduced the new formalism, Q(t)-picture of thermodynamic heat-energy flows, for consistent analyses of NISs. Thermal flows in a long-time uniform heat flow and in a short-time heat flow are numerically studied as examples. In addition to the analysis of time-dependent physical quantities, the TMD analysis suggests that the concept of force and acceleration in Newtonian mechanics should be modified. The acceleration is defined as a continuously differentiable function of Class C2 in Newtonian mechanics, but the thermomechanical dynamics demands piecewise continuity for acceleration and thermal force, required from physical reasons caused by frictional variations and thermal fluctuations. The acceleration has no direct physical meaning associated with force in TMD. The physical implications are fundamental for the concept of the macroscopic phenomena in NISs composed of systems in thermal and mechanical motion.

TDFAD APPROACH TO HIGH TEMPERATURE DEFECT ASSESSMENT AND ITS ENGINEERING APPLICATION

From the idea of failure of defective structures at high temperature beingcontrolled by two mechanisms: fast fracture due to creep crack growth initiating at the crack tipand creep rupture on the weakened section, a time-dependent failure assessment diagram (TDFAD) isdeveloped on the basis of the time dependent crack tip parameter J integral. According to theproposed TDFAD method, detailed crack initiation and creep crack growth analysis is avoided insafety assessments of high temperature structures by performing simple calculations of stressintensity factor and limit load. To evaluate the creep toughness parameter K_(mat), three differentexpressions are suggested on the basis of experimental load-line displacement, creep crackinitiation and growth parameters as well as the isochronous stress-strain curve. The influence ofservice factors such as temperature and service-time on the proposed TDFAD is discussed by using theproperties of 2.25CrlMo steel and an example is also presented to illustrate the approach.

Overheating temperature of 7B04 high strength aluminum alloy

The microstructure and overheating characteristics of the direct chill semicontinuous casting ingot of 7B04 high strength aluminum alloy,and those after industrial homogenization treatment and multi-stage homogenization treatments,were studied by differential scanning calorimetry(DSC),optical microscopy(OM)and scanning electron microscopy with energy dispersive X-ray spectroscopy(SEM-EDX).The results show that the microstructure of direct chill semicontinuous casting ingot of the 7B04 alloy contains a large number of constituents in the form of dendritic networks that consist of nonequilibrium eutectic and Fe-containing phases.The nonequilibrium eutectic contains Al,Zn,Mg and Cu,and the Fe-containing phases include two kinds of phases,one containing Al,Fe,Mn and Cu,and the other having Al,Fe,Mn,Cr,Si and Cu.The melting point of the nonequilibrium eutectic is 478℃for the casting ingot of the 7B04 alloy which is usually considered as its overheating temperature.During industrial homogenization treatment processing at 470℃,the nonequilibrium eutectic dissolves into the matrix of this alloy partly,and the remainder transforms into Al2CuMg phase that cannot be dissolved into the matrix at that temperature completely.The melting point of the Al2CuMg phase which can dissolve into the matrix completely by slow heating is about 490℃.The overheating temperature of this high strength aluminum alloy can rise to 500?520℃.By means of special multi-stage homogenization,the temperature of the homogenization treatment of the ingot of the 7B04 high strength aluminum alloy can reach 500℃without overheating.

Planck’s Oscillators at Low Temperatures and Haken’s Perturbation Approach to the Quantum Oscillators Reconsidered

In the first step the extremal values of the vibrational specific heat and entropy represented by the Planck oscillators at the low temperatures could be calculated. The positions of the extrema are defined by the dimensionless ratios between the quanta of the vibrational energy and products of the actual temperature multiplied by the Boltzmann constant. It became evident that position of a local maximum obtained for the Planck’s average energy of a vibration mode and position of a local maximum of entropy are the same. In the next step the Haken’s time-dependent perturbation approach to the pair of quantum non-degenerate Schr?dinger eigenstates of energy is re-examined. An averaging process done on the time variable leads to a very simple formula for the coefficients entering the perturbation terms.

CALCULATING FORMULA OF TIME-DEPENDENT TEMPERATURE REGIME OF FROZEN SOIL

Thermodynamic study of permafrost in cold regions began when the unsteady solution of 1-D and initial condition problem involving phase change was first given by Stefan in 1890. In 1973, the problem with boundary value of A·τ1/2+B·τ type was solved analytically by using variant substitute method by G.M. Felydman and it is a milestone in solving the problem with changeable boundary condition. In 1981, using small

Nonequilibrium Atmospheric Pressure Ar/O_2 Plasma Jet:Properties and Application to Surface Cleaning

In this study an atmospheric pressure Ar/O_2 plasma jet is generated to study the effects of applied voltage and gas flux rate to the behavior of discharge and the metal surface cleaning.The increase in applied voltage leads to increases of the root mean square（rms） current,the input power and the gas temperature.Furthermore,the optical emission spectra show that the emission intensities of metastable argon and atomic oxygen increase with increasing applied voltage.However,the increase in gas flux rate leads to a reduction of the rms current,the input power and the gas temperature.Furthermore,the emission intensities of metastable argon and atomic oxygen decrease when gas flux rate increases.Contact angles are measured to estimate the cleaning performance,and the results show that the increase of applied voltage can improve the cleaning performance.Nevertheless,the increase of gas flux rate cannot improve the cleaning performance.Contact angles are compared for different input powers and gas flux rates to search for a better understanding of the major mechanism for surface cleaning by plasma jets.

Thermodynamic Consistency and Thermomechanical Dynamics (TMD) for Nonequilibrium Irreversible Mechanism of Heat Engines

The irreversible mechanism of heat engines is studied in terms of thermodynamic consistency and thermomechanical dynamics (TMD) which is proposed for a method to study nonequilibrium irreversible thermodynamic systems. As an example, a water drinking bird (DB) known as one of the heat engines is specifically examined. The DB system suffices a rigorous experimental device for the theory of nonequilibrium irreversible thermodynamics. The DB nonlinear equation of motion proves explicitly that nonlinear differential equations with time-dependent coefficients must be classified as independent equations different from those of constant coefficients. The solutions of nonlinear differential equations with time-dependent coefficients can express emergent phenomena: nonequilibrium irreversible states. The couplings among mechanics, thermodynamics and time-evolution to nonequilibrium irreversible state are defined when the internal energy, thermodynamic work, temperature and entropy are integrated as a spontaneous thermodynamic process in the DB system. The physical meanings of the time-dependent entropy, T(t)dS(t), , internal energy, dƐ(t), and thermodynamic work, dW(t), are defined by the progress of time-dependent Gibbs relation to thermodynamic equilibrium. The thermomechanical dynamics (TMD) approach constitutes a method for the nonequilibrium irreversible thermodynamics and transport processes.

SHOCK SLIP-RELATIONS FOR THERMAL AND CHEMICAL NONEQUILIBRIUM FLOWS

This paper appears to be the first where the multi-temperature shock slip-relations for the thermal and chemical nonequilibrium flows are derived. The derivation is based on analysis of the influences of thermal nonequilibrium and viscous effects on the mass, momentum and energy flux balance relations at the shock wave. When the relaxation times for all internal energy modes tend to sere, the multi-temperature shock slip-relations are converted into single-temperature ones for thermal equilibrium hows. The present results can be applied to flows over vehicles of different geometries with or without angles of attack. In addition, the present single-temperature shock slip-relations are compared with those in the literature, and Some defects and limitations in the latter are clarified.

等离子体医学研究进展

大气压非平衡等离子体(atmospheric pressure nonequilibrium plasma,APNP)能够在产生多种活性成分的同时保持较低甚至常温的气体温度,这使得它在生物医学方面有着巨大的应用前景,因此等离子体医学成为一个备受关注的新兴研究领域。自1996年第一篇等离子体医学研究论文发表以来,等离子体医学领域取得了蓬勃的发展,但也面临着一些核心科学问题亟需解决。文中对等离子体医学的研究进展进行了综述,探讨了该领域面临的核心科学问题和等离子体的生物安全性。此外,还简要介绍了等离子体医学在微生物消杀、伤口愈合、癌症治疗、经皮给药和皮肤病治疗等重要应用方面取得的成果。对于制定等离子体医学的标准和规范、建立第三方检测平台以及共享数据库和标准装置等问题,也进行了初步的讨论。最后,对等离子体医学的未来进行了展望。

高焓流场球头外形气动热试验研究

再入地球大气层时,飞行器的再入速度极高,面临严重的气动加热问题。为了研究高焓流动导致的热化学非平衡现象,在高焓膨胀风洞FD-14X中开展了球头外形的热流测量试验以及CFD仿真模拟。FD-14X为中国空气动力研究与发展中心新建成的高焓膨胀风洞,速度模拟能力达到第二宇宙速度,总温模拟能力超过10000 K,能够产生总焓70 MJ/kg的试验气体。试验来流总焓16.9~63.5 MJ/kg,球头直径20~50 mm,流场采用自发光拍照,同时CFD仿真采用Park双温非平衡模型计算球头绕流流场。试验与仿真结果表明:来流总焓大于5 MJ/kg时,球头绕流场存在显著的热化学非平衡现象;304钢模型壁面在来流总焓小于20 MJ/kg时表现为非催化壁面特性,在来流总焓大于30 MJ/kg时表现为催化壁面特性;当球头表面镀氧化锆膜、来流总焓49.5 MJ/kg时,球头壁面表现为非催化壁面特性。

高马赫数激波作用下单模界面的Richtmyer-Meshkov不稳定性数值模拟

为了研究高马赫数激波冲击下的单模界面Richtmyer-Meshkov(RM)不稳定性,特别是高马赫数激波带来的热化学非平衡效应的影响,采用基于有限体积方法的二维高温非平衡流动程序,利用自适应非结构网格模拟了空气中高马赫数激波冲击两侧温度不同的单模界面导致的RM不稳定现象。研究中涵盖了轻/重界面和重/轻界面2种情况,涉及的激波马赫数范围分别为6~9和8~11。对比了冻结流、热非平衡流和热化学非平衡流3种气体模式下的流场演化过程,揭示了扰动增长和增长率的变化规律。通过对比扰动增长的线性理论和非线性理论,分析了初始激波马赫数和初始扰动尺度的变化对RM不稳定性的影响,同时讨论了涡量场分布和环量的演化规律。结果表明,与冻结流相比,热化学非平衡流中透射激波、反射波及界面速度明显不同,扰动振幅增长率峰值降低,界面增长率脉动减弱,界面不稳定性增长速度变慢。通过对比多种理论模型和本文的数值模拟结果,发现Zhang-Sohn模型相对于其他模型更适用于高马赫数激波作用下的单模界面RM不稳定性问题。对涡量场的研究发现,有2个较强的涡量生成区域,一个位于界面上,另一个位于透射激波波后,这同低马赫数下涡量主要在界面上生成的结论显著不同。此外,热化学非平衡流中环量的幅值大小低于冻结流中的结果,这与热化学非平衡流中扰动的增长低于冻结流的结论对应。

Instantaneous Temperature-rise History and Nonequilibrium Thermophysical Properties of Thin Films Irradiated by Transient Laser Pulse

Recent development in the study of nonequilibrium thermophysical properties of thin films in our lab is reported. A high-speed indirect heating system by using 0.1 μs CO_2 laser pulse was established. A photoelectric installation for micrometric length-change measurement, an infrared radiation pyrometer for transient temperature measurement, a high-speed acquisition system as recording device and microcomputer system for data treatmeat were developed. Using the systems, the traditional flash method is extended to the measurement of thermal diffusivity of the thin films of around 50 μm in thickness, and deviations of this method is analyzed for the case of thin film specimens. Nonsynchronous change of temperature rise and thermal expansion under transient heating was observed.

提高高锰奥氏体超低温钢低温韧性的方法

研究改进热处理工艺和加入合金元素来消除锰在奥氏体晶界上的不平衡偏聚以提高钢的低温韧性。降低固溶处理温度和冷却速度，以及在钢中加入铬、硼和钼。

高超声速再入体可见、红外辐射特性数值模拟

用带有非平衡化学反应源项的粘性激波层方程模拟了高超声速小钝头体零攻角再入段绕流流场 ,并对壁温边界条件进行了改进 .建立了复杂几何形状内求解辐射传递方程的贴体坐标系下的离散坐标法 ,与谱带模型相结合求解了小钝头体头身部七组元空气激波层辐射强度场 .考查了紫外光谱区 (0 .2～ 0 .4 μm)、可见光谱区 (0 .4～ 0 .8μm)及红外光谱区 (0 .8～ 2 .0 μm)吸收系数不确定性对辐射场计算结果的影响 .

飞船轴对称热化学非平衡流场数值求解

本文从轴对称热化学非平衡Ｎ－Ｓ方程出发，利用时间相关法，采用双温度、七组元反应气体模型，利用隐式ＮＮＤ有限差分格式和时间预处理技术数值求解了ＦＩＲＥＩ飞船热化学非平衡流场，得到了较为准确的结果，并分析了热力非平衡对流场的影响。

热化学非平衡辐射流场数值研究

从耦合辐射的轴对称热化学非平衡Ｎ－Ｓ方程出发，采用双温度、１１组元反应气体模型，耦合“线－线”精细辐射模型，利用隐式ＮＮＤ有限差分格式和时间预处理技术数值求解了ＦＩＲＥＩＩ飞船热化学非平衡辐射流场，得到了有关辐射热和辐射光谱计算结果，并与有关文献的实验结果和计算结果进行了比较。

11组元轴对称热化学非平衡流场的数值研究

本文从轴对称热化学非平衡Ｎ－ Ｓ方程出发，采用双温度、十一组元反应气体模型，利用隐式ＮＮＤ有限差分格式和时间预处理技术数值求解了ＦＩＲＥＩＩ飞船热化学非平衡流场。文中同时给出了七组元模型的计算结果，并进行了结果比较。