Equation of state of fluid helium at high temperatures and densities

Helium, hydrogen, and their isotopes are the simplest monoatomic and diatomic molecules. It is relatively easy to describe their properties using the basic principles of quantum mechanics. In condensed matter physics, hydrogen and helium serve as the models for the condensed matter properties at extreme conditions so that both experi- mental and theoretical physicists pay much attention to the study of their properties[1], especially the insulator-metal transition of hydrogen[2]. The aim to st…     

Equation of state of fluid helium at high temperatures and densities

Hugoniot curves and shock temperatures of gas helium with initial temperature 293 K and three initial pressures 0.6, 1.2, and 5.0 MPa were measured up to 15000 K using a two-stage light-gas gun and transient radiation pyrometer. It was found that the calculated Hugoniot EOS of gas helium at the same initial pressure using Saha equation with Debye-Hückel correction was in good agreement with the experimental data. The curve of the calculated shock wave velocity with the particle velocity of gas helium which is shocked from the initial pressure 5 MPa and temperature 293 K, i.e., theD ≈u relation,D=C ₀+λu (u<10 km/s, λ=1.32) in a low pressure region, is approximately parallel with the fittedD ≈u (λ=1.36) of liquid helium from the experimental data of Nellis et al. Our calculations show that the Hugoniot parameter λ is independent of the initial density p{in0}. TheD≈u curves of gas helium will transfer to another one and approach a limiting value of compression when their temperature elevates to about 18000 K and the ionization degree of the shocked gas helium reaches 10⁻³.     

高温高压下稠密氢的离解与电离

应用自恰变分自由能模型描述了在化学平衡下,H2,H,H ,e构成地混合物在天体物理和高压实验中遇到情形下的各种相互作用及压力与温度效应引起地离解和电离现象.目前的模型预测了在压力电离区存在一热力学不稳定状态,当温度Tc=15.5 kK,压力Pc=58.3 GPa和密度ρc=0.3226 g/cm3时发生等离子体相变,此理论预测结果与各种模型计算结果进行了比较分析.     

Perturbative QED and QCD at finite temperatures and densities

The finite temperature and density QED and QCD are discussed from the perturbative viewpoint. A comparison between Abelian QED and non-Abelian QCD is made at every step. The calculation of the thermodynamic potential is performed up to ² In, allowing the masses of the fermions to be arbitrary. The equation of state for QCD plasma is obtained and the phase transition to the hadronic phase is discussed.     

Molecular dynamics study of hydrogenated silicon clusters at high temperatures

This paper reports on a study of the stability of silicon clusters of intermediate size at a high temperature. The temperature dependence of the physicochemical properties of 60- and 73-atom silicon nanoparticles are investigated using the molecular dynamics method. The 73-atom particles have a crystal structure, a random atomic packing, and a packing formed by inserting a 13-atom icosahedron into a 60-atom fullerene. They are surrounded by a ‘coat’ from 60 atoms of hydrogen. The nanoassembled particle at the presence of a hydrogen ‘coat’ has the most stable number (close to four) of Si–Si bonds per atom. The structure and kinetic properties of a hollow single-layer fullerene-structured Si₆₀ cluster are considered in the temperature range 10 K ≤ T ≤ 1760 K. Five series of calculations are conducted, with a simulation of several media inside and outside the Si₆₀ cluster, specifically, the vacuum and interior spaces filled with 30 and 60 hydrogen atoms with and without the exterior hydrogen environment of 60 atoms. Fullerene surrounded by a hydrogen ‘coat’ and containing 60 hydrogen atoms in the interior space has a higher stability. Such clusters have smaller self-diffusion coefficients at high temperatures. The fullerene stabilized with hydrogen is stable to the formation of linear atomic chains up to the temperatures 270–280 K.     

Pressure-induced molecular dissociation in iodine at low temperatures

Abstract

Synchrotron x-ray diffraction experiments at low temperatures have revealed that even at 35K the molecular dissociation starts taking place at P_S=21.5 and finishes at P_f=26.1GPa. An extrapolation of the phase boundary thus obtained at several temperatures intersects the T=4K line at P_S=21.6 and P_f=26.3GPa. This result, inferring the monatomic structure to be realized at P=30GPa and T=4K, leads to a discrepancy against the recent Mössbauer result obtained at the same point in the P-T phase diagram.     

Equation of state and interaction potential of helium under high temperatures and high densities

Based on the thermodynamics statistic method, the improved variational perturbation theory and the modified quantum mechanics correction model have been used to calculate the equation of state of liquid helium at pressure from 0.7 to 108 GPa. The calculation results are in good agreement with the experimental data. The EXP-6 potential (α = 13.1) can more accurately describe the interaction of helium atoms than other potentials in the scheme. Finally, a comparison is shown between our interatomic potentials and other potentials.     

高温下钙蒙脱石膨胀特性的分子动力学模拟

高温下蒙脱石的膨胀特性在核废料深部封存、二氧化碳封存及页岩气开发等应用中有着重要影响,但相关机理尚不明确.本工作使用分子动力学模拟为技术手段计算5 MPa和298—500 K等条件下,1.40—4.00 nm晶面间距(d)的一系列饱和钙蒙脱石的膨胀压力.以模拟所得的数值结果为依据,基于水化效应、双电层效应和离子关联效应等模型推演膨胀压力随温度与d的变化规律,并与相应的实验数据进行对比.模拟结果表明,当d较小时,因为高温会弱化水化力的强度,钙蒙脱石膨胀压力震荡的幅度降低,同时水化力作用的d的范围减小.当d较大时,因为高温强化离子关联效应,膨胀压力降低,同时双电层力的作用的d的范围增加.在较高温度和较大d时,膨胀压力为收缩力,阻碍膨胀.这些膨胀压力的变化规律与前期钠蒙脱石体系的研究类似.然而,通过对比两种蒙脱石体系的模拟结果,发现两种体系存在显著的差异—钙蒙脱石比钠蒙脱石更难膨胀到较大的d.此模拟结果与前人实验观测的结果相符.我们进一步将此差异归于钙蒙脱石的离子关联效应要远大于钠蒙脱石.有别于分子模拟中对于离子关联效应的精确描述,连续化的Poisson-Boltzmann方程因为忽略了离子关联效应,从而无法表达出与两种体系模拟结果都相吻合的膨胀压力变化规律.     

高温下钙蒙脱石膨胀特性的分子动力学模拟

高温下蒙脱石的膨胀特性在核废料深部封存、二氧化碳封存及页岩气开发等应用中有着重要影响,但相关机理尚不明确.本工作使用分子动力学模拟为技术手段计算5 MPa和298—500 K等条件下,1.40—4.00 nm晶面间距(d)的一系列饱和钙蒙脱石的膨胀压力.以模拟所得的数值结果为依据,基于水化效应、双电层效应和离子关联效应等模型推演膨胀压力随温度与d的变化规律,并与相应的实验数据进行对比.模拟结果表明,当d较小时,因为高温会弱化水化力的强度,钙蒙脱石膨胀压力震荡的幅度降低,同时水化力作用的d的范围减小.当d较大时,因为高温强化离子关联效应,膨胀压力降低,同时双电层力的作用的d的范围增加.在较高温度和较大d时,膨胀压力为收缩力,阻碍膨胀.这些膨胀压力的变化规律与前期钠蒙脱石体系的研究类似.然而,通过对比两种蒙脱石体系的模拟结果,发现两种体系存在显著的差异—钙蒙脱石比钠蒙脱石更难膨胀到较大的d.此模拟结果与前人实验观测的结果相符.我们进一步将此差异归于钙蒙脱石的离子关联效应要远大于钠蒙脱石.有别于分子模拟中对于离子关联效应的精确描述,连续化的Poisson-Boltzmann方程因为忽略了离子关联效应,从而无法表达出与两种体系模拟结果都相吻合的膨胀压力变化规律.     

Recombination in nitrogen afterglow at low temperatures

A flowing post-discharge of N₂ and N₂-CH₄ gas mixtures has been used to produce nitrogen and carbon atoms. New technique for qualitative and quantitative measurement of various gas phase hydrocarbon species in a flow and the apparatus for its implementation are described. The method is based on C+N chemiluminiscent reactions in flowing post-discharge of N₂+hydrocarbon gas mixtures at low temperature (77 K). Detection of hydrocarbon species has been demonstrated from concentrations greater than 10¹⁰ molecules.cm^–3.Dedicated to the memory of Professor Jozef Kvasnica.     

Molecular dynamics simulation of thermodynamic properties of NaCl at high pressures and temperatures

The expansivity, constant-pressure heat capacity, and isothermal bulk modulus of sodium chloride (NaCl) have been obtained by using molecular dynamics method. The calculated thermodynamic parameters are found to be in agreement with the available experimental data. At an extended temperature and pressure ranges, these parameters have also been predicted. The thermodynamic properties of NaCl are summarized in the pressure 0-500 kbar ranges and the temperature up to 1000 K.     

Mobility of ions in fluid Kr at various densities

We report measurements of mobility of positive and negative ions in fluid Kr at various densities. The experimental results are discussed with the Langevin theory. Comparison between self-diffusion of ions is made.     

On the uniqueness of the equilibrium state for an interacting fermion gas at high temperatures and low densities

Starting from bounded local perturbations, we release the spatial cutoff and prove the uniqueness of the KMS state at high temperatures and low densities for the continuous fermion system with pair-interaction proposed by Narnhofer and Thirring.