Analytical and statistical calculation of gamma dose rate for the accident of losing the shield for Tehran Research Reactor

In this paper we study the analytical and statistical results of estimating the gamma dose rate at pool access floor in TRR when the core shield accidentally decreases to some non-permitted levels. Due to the risk of experimental techniques, we use the analytical and statistical methods. In normal conditions (no risk), the discrepancies between experiment and two methods are justified and it is found that for such problems we have to normalize these methods to experimental results as follows: the analytical method by factor 0.13 and MCNP by 1.7.     

基于Boltzmann输运方程的SPECT系统解析建模方法

在单光子发射断层成像(SPECT)中, 为了校正劣化因素的影响, 提高图像质量, 需要对SPECT成像的物理过程进行准确建模. 本文提出了基于Boltzmann输运方程及其Neumann级数解理论的SPECT系统解析建模方法, 并采用数论高维数值积分算法对解析建模公式进行数值求解. 分别对点源、均匀圆柱体模型和NCAT模型进行SPECT投影过程计算, 将其结果与传统的Monte Carlo建模方法进行比较. 结果表明解析建模方法的计算速度和精度综合性能优于Monte Carlo建模方法, 且具有不受统计噪声影响的优点, 因而更适于进行SPECT成像过程的建模.     

Interpolation formula for the electrical conductivity of nonideal plasmas

On the basis of a quantum‐statistical approach to the electrical conductivity of nonideal plasmas we derive analytical results in the classical low‐density regime, in the degenerate Born limit, and for the contribution of the Debye‐Onsager relaxation effect. These explicit results are used to construct an improved interpolation formula of the electrical conductivity valid in a wide range of temperature and density which allows to compare with available experimental data of nonideal plasmas.     

Comparison of spectrum normalization techniques for univariate analysis of stainless steel by laser-induced breakdown spectroscopy

Analytical performance of six different spectrum normalization techniques, namely internal normalization, normalization with total light, normalization with background along with their three-point smoothing methods were studied using LIBS for quantification of Cr, Mn and Ni in stainless steel. Optimization of the number of laser shots per spectrum was carried out to obtain the best analytical results. Internal normalization technique model was used for selecting the best emission lines having sufficient intensity and spectral purity for Cr, Mn and Ni for comparison of different normalization techniques. For detailed evaluation of these normalization techniques, under optimized experimental conditions, three statistical parameters i.e., standard error of prediction, relative standard deviation and average bias, were compared for these techniques using the selected emission lines. Results show that the internal normalization technique produces the best analytical results followed by total light normalization. The smoothing of the raw spectra reduces the random error and produces better analytical results provided the peak under study has sufficient (≥7) number of pixels.     

氩等离子体物态方程的TF简化模型

对于高温高压下氩等离子体的电离度和物态方程,本文给出了一种基于Thomas-Feimi(TF)统计模型的简化计算新方法:首先将TF模型电离势的数值结果进行函数逼近,给出一个便于数值求解的计算电离度的近似计算方法,并由此计算了局部热动平衡下的氩等离子体在10～1000 eV高温范围内的物态方程.计算结果与国外报道的其他几种理论模型的计算结果均符合很好,与实验值也吻合较好.本文所提出的简单模型也适用于计算混合物物态方程,可以在电磁发射技术领域中的强电离等离子体中有更为广阔的应用前景.     

Callen-like method for the classical Heisenberg ferromagnet

A study of the d-dimensional classical Heisenberg ferromagnetic model in the presence of a magnetic field is performed within the two-time Green function’s framework in classical statistical physics. We extend the well known quantum Callen method to derive analytically a new formula for magnetization. Although this formula is valid for any dimensionality, we focus on one- and three- dimensional models and compare the predictions with those arising from a different expression suggested many years ago in the context of the classical spectral density method. Both frameworks give results in good agreement with the exact numerical transfer-matrix data for the one-dimensional case and with the exact high-temperature-series results for the three-dimensional one. In particular, for the ferromagnetic chain, the zero-field susceptibility results are found to be consistent with the exact analytical ones obtained by M.E. Fisher. However, the formula derived in the present paper provides more accurate predictions in a wide range of temperatures of experimental and numerical interest.     

调优运算法在提高分析质量中的应用

在理化实验室管理中,提高分析质量是很重要的一项任务。本文尝试应用调优运算法来提高理化测试工作的质量,调优运算可以利用原有理化测试方法及其仪器和技术,不需要耗用大量的试验经费而能有效地找出影响分析结果的某些因素,从而提高分析质量。通过实例说明,调优运算确是一种值得推荐的实验设计方法。     

A Bayesian statistical method for the detection and quantification of rotational diffusion anisotropy from NMR relaxation data

It has recently become more widely appreciated that the presence of rotational diffusional anisotropy in proteins and other macromolecules can have a significant affect on the interpretation of NMR relaxation data in terms of molecular motion. In this paper, we show how commonly used NMR relaxation data (R(1), R(2), and NOE) obtained at two spectrometer frequencies can be analyzed using a Bayesian statistical approach to reliably detect and quantify the degree of rotational diffusion anisotropy. Our approach differs from previous methods in that it does not make assumptions concerning the internal motions experienced by the residues which are used to quantify the diffusion anisotropy, but rather averages the results over all internal motions consistent with the data. We demonstrate our method using synthetic data corresponding to isotropic, axially symmetric anisotropic, and fully asymmetric anisotropic rotational diffusion, as well as experimental NMR data. We compare the Bayesian statistical approach with a widely used method for extracting tumbling parameters using both synthetic and experimental data. While it can be difficult to separate the effects of chemical exchange from rotational anisotropy using this "standard" method, these effects are readily separated using Bayesian statistics. In addition, we find that the Bayesian statistical approach requires considerably less CPU time than an equivalent standard analysis.     

基于VB的岭回归分光光度法同时测定五味子液成分的研究

岭回归 (RR)分光光度法是近年来发展起来的计算分光光度法之一。将RR分光光度法应用于五味子提取液中五味子甲素、五味子乙素、五味子醇甲等三组分含量的同时测定 ,运用计算机VB语言对实验数据进行RR分析。实验结果表明RR分光光度法对样品中各组分的平均回收率在 92 35 %～ 10 8 6 9%之间。样品不经分离即可同时测定 ,取得了满意的分析结果     

Coupled vibration of a cylindrical shell for radiating high intensity ultrasound

The coupled vibrations of a cylindrical shell were analysed by a new method that we called ‘the apparent-elasticity method’. Several types of radiators using cylindrical shells were designed on the basis of analytical results and several acoustical characteristics were measured. In consequence, the analytical results were in good agreement with the experimental data, and the practicability of high intensity ultrasonic radiators using cylindrical shells was demonstrated.     

Improvement of the Mathematical Model for Determining the Dose for the TV-Type Detector in Proton Dosimetry

The results on the improvement of the mathematical model for calculating the TV-type detector are presented. The parameters of the analytical formula valid for proton energies from 60 to 200 MeV, based on the combination of parabolic cylinder functions and consistent with numerical methods and new experimental data, are determined.     

Statistical relaxation in closed quantum systems and the Van Hove-limit

We analyze the dynamics of occupation probabilities for a certain type of design models by the use of two different methods. On the one hand we present some numerical calculations for two concrete interactions which point out that the occurrence of statistical dynamics depends on the interaction structure. Furthermore we show an analytical derivation for an infinite system that yields statistical behaviour for the average over the whole ensemble of interactions in the Van Hove-limit.     

Laser polarimetry of polarization-phase statistical moments of the object field of optically anisotropic scattering layers

Issues related to the direct polarization-interference measurements of the second and higher statistical moments of the random object field of a phase-inhomogeneous layer are considered. The relation between the statistical parameters of the surface and volume structure of the object and the statistics of the vector laser field is determined. The results of analytical modeling are compared with direct experimental measurements.     

金属导体电阻温度系数实验数据处理方法的比较

基于金属导体电阻温度系数实验数据的特点,我们采用三种不同的数据处理方法:逐差法、最小二乘法和Origin绘图,对实验数据进行了分析处理,并且将三种方法在处理实验数据时的特点做了对比分析。根据我们的分析发现,将Origin应用到大学物理实验教学的数据处理中,不仅能够简单、快捷地完成数据的统计、分析和曲线拟合,而且有利于帮助学生掌握物理规律,更好地提高物理实验教学的效果。     

Surface impedance models for high impedance surfaces

Different analytical and numerical methods for calculating the surface impedance of a high impedance surface (HIS) structure have been studied and compared. In this article, two new approaches are proposed for calculating the surface impedance for general 2D-spatial periodic HIS structures, which include both the symmetric and asymmetric planar structures. Different comparisons are made, among analytical, numerical and experimental results, to validate our numerical calculation.     

Origin8.0软件在单摆实验中的应用

结合实际测量数据,采用Origin8.0软件通过图像斜率法计算的合肥地区的重力加速度,实验计算结果表明利用图像斜率法求加速度非常准确和高效,相对误差仅为0.004%。     

A unified statistical treatment for the multi-variate joint probability expression of general random processes in the form of finite expansion terms

In this paper, for a multi-variate random process of arbitrary distribution type which can be considered to be a sum of two different random processes as a result of the natural internal mechanism of the fluctuation, or of an artificial analytical classification of the fluctuation, a unified statistical treatment for the multi-variate joint probability distribution and the multi-variate joint moment with arbitrary order of the resultant random process is introduced exactly in the form of finite expansion terms. The validity of the present theory has been experimentally confirmed not only by means of digital simulation but also by Hiroshima City street noise data. The experimental results clearly show the usefulness of the theory, and also the importance of the exact correction to the truncation error of the expansion expression.