Landau Diamagnetism,Pauli Paramagnetism,and Determination of Longitudinal and Transverse Kinetic Energy Components of a Degenerate Nonrelativistic Electron Gas

The Fermi energy, density of average kinetic energy, and average density of kinetic energy of the transverse finite motion of an electron gas of a specified concentration are calculated taking into account Landau diamagnetism and Pauli paramagnetism. The kinetic energy of a longitudinal continuous electron motion along the direction of the external magnetic field H is estimated. It is shown that the kinetic energy of the longitudinal continuous motion vanishes with increase in the external magnetic field strength in the quantum limit where the maximum Landau quantum number N _m = 0. For N _m > 0, the longitudinal kinetic energy component of a degenerate electron gas somewhat increases with magnetic field strength. The cause of the erroneous result is discussed.     

高速动能弹温度场数值模拟

随着兵器发射技术和空气动力学技术的发展,动能弹的发射初速和飞行状态正从超声速向高超声速发展,由此产生了气动热问题.准确预测动能弹温度场是其气动力和热防护设计的关键技术.采用CFD预测温度场的方法,包括平衡流流动控制方程及差分格式,构造平衡流通量Jacob矩阵,在差分格式矢通量分裂过程中嵌入平衡流真实气体模型模拟温度场,获得平衡流气体状态方程.对典型高速动能弹热环境进行验证,考察方法的合理性.对设计的一种新型高超声速动能弹温度场进行数值模拟,为其气动设计及热防护提供了较可靠的数据.     

Landau diamagnetism and determination of the longitudinal and transverse kinetic energy components of a degenerate nonrelativistic electron gas

The Fermi energy, average total kinetic energy density, and also average kinetic energy of finite diamagnetic motion of an electron gas of specified concentration are calculated. The kinetic energy of continuous longitudinal motion of the electrons along the direction of an external magnetic field H is determined. It is found that in the quantum limit, when the maximum Landau quantum number N _m =0, the kinetic energy of continuous longitudinal motion tends to zero with increase in the external magnetic field strength. If the maximum Landau quantum number is greater than zero, the longitudinal and transverse kinetic energy components of the degenerate electron gas change only insignificantly. Byelorussian State University; Brest State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 31–35, July, 1999.     

Acoustic Characteristics of Self-Sustained Oscillations Occurring due to the Interaction of a Supersonic Underexpanded Jet with a Cylindrical Cavity

Technical Physics - In high-pressure gas–jet Hartmann generators, the source of acoustic energy is kinetic energy of a gas jet by the supercritical ratio between the operation and ambient...     

热质的运动与传递-热子气状态方程

基于相对论原理,提出能量的运动可以产生压强．在热质概念的基础上,针对理想气体,根据分子动理论建立了热子气状态方程,从而得到理想气体分子的热运动动能压强的表达式．基于硬球势能模型通过分子动力学模拟验证了热子气状态方程的正确性．     

Momentum distribution of a Fermi gas of atoms in the BCS-BEC crossover

We observe dramatic changes in the atomic momentum distribution of a Fermi gas in the crossover region between the BCS theory superconductivity and Bose-Einstein condensation (BEC) of molecules. We study the shape of the momentum distribution and the kinetic energy as a function of interaction strength. The momentum distributions are compared to a mean-field crossover theory, and the kinetic energy is compared to theories for the two weakly interacting limits. This measurement provides a unique probe of pairing in a strongly interacting Fermi gas.     

Adsorption mechanisms of translationally-energetic O2 and N2: direct dissociation versus direct molecular chemisorption

A direct dissociation mechanism has been traditionally assigned to molecular beam data that exhibit an increase in the initial adsorption probability with increasing kinetic energy. Yet, recent experiments of nitrogen and oxygen adsorption provide support for an alternative high kinetic energy pathway in which incident energy assists in surmounting barriers to molecular chemisorption on a surface as the first step to dissociation. Moreover, systems for which the experimental evidence supports such a mechanism also demonstrate that molecularly chemisorbed intermediates can be spectroscopically observed at low temperatures and coverages from exposure to a gas in thermal equilibrium at room temperature. Likewise, such observations have not been measured for systems which are consistent with direct dissociation. A consideration of this trend regarding the existence of molecularly chemisorbed states and the implications for the dominant, dissociative chemisorption pathway at high kinetic energy is presented for a number of gas surface systems.     

高温高压条件下堆积颗粒的吸能效应

建立二维轴对称气固两相双流体物理模型.对三种不同源区初始质量比内能E0/10、E0/100、E0/1 000,固体堆积颗粒作用下气相流场能量、压力衰减进行数值模拟.结果表明:初始质量比内能越高,堆积颗粒作用下流场动能、内能衰减越快;初始质量比内能越高,流场压力衰减达到准静状态的速度越快,准静态后压力衰减也越快.     

Dilute Bose gas: short-range particle correlations and ultraviolet divergence

The modified Bogoliubov model where the primordial interaction is replaced by the t matrix is reinvestigated. It is shown to provide a negative value of the kinetic energy for a strongly interacting dilute Bose gas, contrary to the original Bogoliubov model. To clear up the origin of this failure, the correct values of the kinetic and interaction energies of a dilute Bose gas are calculated. It is demonstrated that both the problem of the negative kinetic energy and the ultraviolet divergence, dating back to the well-known paper of Lee, Yang and Huang, is connected with an inadequate picture of the short-range boson correlations. These correlations are reconsidered within the thermodynamically consistent model proposed earlier by the present authors. Found results are in absolute agreement with the data of the Monte-Carlo calculations for the hard-sphere Bose gas. Received 10 February 2000 and Received in final form 28 November 2000     

Anomalous kinetic energy of a system of dust particles in a gas discharge plasma

The system of equations of motion of dust particles in a near-electrode layer of a gas discharge has been formulated taking into account fluctuations of the charge of a dust particle and the features of the nearelectrode layer of the discharge. The molecular dynamics simulation of the system of dust particles has been carried out. Performing a theoretical analysis of the simulation results, a mechanism of increasing the average kinetic energy of dust particles in the gas discharge plasma has been proposed. According to this mechanism, the heating of the vertical oscillations of dust particles is initiated by induced oscillations generated by fluctuations of the charge of dust particles, and the energy transfer from vertical to horizontal oscillations can be based on the parametric resonance phenomenon. The combination of the parametric and induced resonances makes it possible to explain an anomalously high kinetic energy of dust particles. The estimate of the frequency, amplitude, and kinetic energy of dust particles are close to the respective experimental values.     

Effect of Fourier transform on the streaming in quantum lattice gas algorithms

All our previous quantum lattice gas algorithms for nonlinear physics have approximated the kinetic energy operator by streaming sequences to neighboring lattice sites. Here, the kinetic energy can be treated to all orders by Fourier transforming the kinetic energy operator with interlaced Dirac-based unitary collision operators. Benchmarking against exact solutions for the 1D nonlinear Schrodinger equation shows an extended range of parameters (soliton speeds and amplitudes) over the Dirac-based near-lattice-site streaming quantum algorithm.     

Z箍缩内爆过程中的能量转换机制研究

利用一维三温辐射磁流体力学程序对氖气和铝丝阵Z箍缩内爆过程中的能量转换过程进行了详细的数值研究，发现在内爆过程中离子和电子之间的碰撞能量交换是最主要的能量交换过程，其次是电子和光子之间的光电过程和轫致过程，而康普顿散射过程中的能量交换可以忽略不计；辐射出的x射线主要是在光电激发和光电复合过程中产生的，其次是在轫致辐射过程和康普顿散射过程中产生的.理论分析表明，辐射出的x射线能量可以超过，也可能小于其等离子体最大动能.数值模拟结果表明，在氖气Z箍缩中，辐射出的x射线能量没有超过其等离子体最大动能，而在铝丝阵列内爆中，辐射出的x射线能量超过了其等离子体最大动能，但小于磁压所做的功；在整个Z箍缩过程中欧姆加热能量是较小的. 关键词： Z箍缩 能量转换 x射线辐射     

Theoretical analysis of ion kinetic energies and DLC film deposition by CH4＋ Ar （He） dielectric barrier discharge plasmas

The kinetic energy of ions in dielectric barrier discharge plasmas are analysed theoretically using the model of binary collisions between ions and gas molecules. Langevin equation for ions in other gases, Blanc law for ions in mixed gases, and the two-temperature model for ions at higher reduced field are used to determine the ion mobility. The kinetic energies of ions in CH4 ＋ Ar（He） dielectric barrier discharge plasma at a fixed total gas pressure and various Ar （He） concentrations are calculated. It is found that with increasing Ar （He） concentration in CH4 ＋ Ar （He） from 20% to 83%, the CH4＋ kinetic energy increases from 69.6 （43.9） to 92.1 （128.5）eV, while the Ar＋ （He＋） kinetic energy decreases from 97 （145.2） to 78.8 （75.5）eV. The increase of CH4＋ kinetic energy is responsible for the increase of hardness of diamond-like carbon films deposited by CH4 ＋ Ar （He） dielectric barrier discharge without bias voltage over substrates.     

Sticking and displacement channels in the COg + O2/Pt(111) reaction

A molecular beam of CO, impinging on a Ft surface saturated with molecular oxygen, causes displacement of O₂ molecules into the gas phase. The kinetics of the displacement and associated CO sticking have been measured for CO kinetic energies in the range 0.06-1.83 eV. At low kinetic energies the main displacement channel is associated with the sticking of CO, which by dynamic energy and momentum transfer causes O₂ molecules to leave the surface, with a probability of 0.09 per stuck CO molecule. At the highest CO kinetic energies an additional displacement channel is appearing, namely inelastic (non-sticking) scattering of CO molecules, which deposit enough energy to displace adsorbed O₂ into the gas phase.     

The effects of swirling partially premixed flame on scaled kinetic energy transport in a gas turbine-like combustor

The multi-scale interaction between combustion and turbulence is of great importance in modifying the small-scale flame structure and kinetic energy, especially in swirling flames under practical conditions. In the present study, direct numerical simulation of swirling partially premixed flame is conducted within a model combustor under gas turbine conditions. The reactive flow is compared to the corresponding non-reactive one to investigate the influence of combustion on the scaled kinetic energy transport. Kinetic energy spectra demonstrate that the turbulent kinetic energy is reduced in the dissipative subrange while enhanced in the energetic one by the flame. The critical scale is located in the inertial subrange and close to the estimated turbulent flame thickness. Filtering analyses show that the resolved-scale kinetic energy is augmented by the increased large-scale pressure-gradient work in the reactive flow, while the subgrid-scale kinetic energy is attenuated by the enhanced small-scale viscous dissipation. The backscatter prevails in the heat release regions when the filter size is larger than the laminar flame thickness, and this effect decreases with the swirling flow developing downstream. The interaction between the kinetic energy flux and the local dilatation as well as the subgrid-scale pressure-gradient work is also investigated to achieve a comprehensive understanding about the effects of combustion on the backscatter.     

The internal energy and thermodynamic behaviour of a boson gas below the Bose-Einstein temperature

We have examined the issue of the kinetic energy of particles in the ground state of an ideal boson gas. By assuming that the particles, on dropping into the ground state, retain the kinetic energy they possess at the Bose-Einstein temperature TB, we obtain new expressions for the pressure and internal energy of the gas below TB, that are free of the difficulties associated with the corresponding expressions in current theory. Furthermore, these new equations yield a value for the maximum density temperature in liquid ⁴He that is very close to the measured value.     

Zur Theorie der stationären Bewegung von Ionen im elektrischen Feld

In a static electric field a one-dimensional model of the motion of ions, controlled solely by charge exchange (electron capture from gas moleculs) is considered. Solutions of the kinetic equastions for ions and fast neutrals are derived in several special cases. If the charge exchange cross section is constant, the kinetic equation is easily solvable in a closed form; if the cross section is a function of ion energy, however, the problem is reducible to a simple integral equation for the energy distribution function.     

Comment on Schöner-Haken systematic adiabatic approximation for stochastic differential equations

The Antoniewicz model is used to study the stimulated desorption of argon and krypton neutrals from Ru(001). We solve the Schrödinger equation semiclassically and find good agreement with the experiment for both the desorption yield and the kinetic energy distribution of the argon and krypton atoms. We use a reneutralization rate which consists of a single exponential inside a certain distance and is equal to zero outside. In contrast to earlier theories, we obtain in agreement with the experiment a relatively high yield, a low most probable kinetic energy and slowly decaying high energy tails of the kinetic energy distribution of the desorbing rare gas neutrals. We show explicitly that the single exponential form previously used for the reneutralization rate cannot account for the three relevant experimental findings simultaneously.Dedicated to Professor W. Brenig on the occasion of his 60th birthday     

Effect of electron cooling on the electron lifetime on liquid 4He

Electron trapped in image potential induced surface states on liquid ⁴He can escape into the gas by thermal ionization. We have calculated the rate of ionization on the assumption that the electrons are strongly coupled to each other and weakly coupled to the liquid and gas. The first electrons to leave the surface extract their ionization energy from the kinetic energy of the remaining electrons. This adiabatic cooling effect rapidly lowers the electron temperature to a small fraction of the temperature of the surrounding gas and liquid.