The curie temperature of ferroelectric films is studied using spin - 1 / 2 transverse ising model with long - range interactions within the framework of an effective - field theory 我们首先应用有效场理论，在横场伊辛模型的框架内研究了赝自旋s = 1 / 2的具有长程相互作用的铁电薄膜的相变性质。
The conclusion was analyzed and drawn that all the stochastic factors in the one - dimensional cellular automata model had the same effect on traffic flow qualitatively 对主要文献中运用平均场理论，讨论一维模型中随机因素的影响，表明各种随机因素对交通流的影响定性上一致的结论进行了分析证实。
In this paper , the random field model of geotechnical parameter is also expatiated in detail . several methods calculating auto - correlation distance are summarized and the calculate example is provided 详细论述了土工参数的随机场理论模型，总结了计算土体自相关距离的几种方法并给出了计算实例。
Using an improved ir radiation field mode , the ir radiation field of some complex terrains has been calculated in limited ranges and the real ir radiation distribution 15 obtained 然后运用改进的自然地表红外辐射场理论模型计算了一定范围复杂地表的红外辐射场，得到了较为真实的地表红外辐射场分布。
However , in 1974 , hawking applied quantum field theory to the curved spacetime around the event horizon and discovered that black holes can emit thermal radiation , known as hawking radiation 然而,在1974年,霍金将量子场理论运用到活动视界周围的弯曲时空上而发现黑洞能发出热辐射，就是熟知的霍金辐射。
The research is composed of feature extraction of workpiece surface texture and segment of tool wear image , which are based on the model of markov random field 工件表面纹理特征的提取以随机图像纹理模型为基础，分别研究了基于分数布朗运动理论和马尔可夫随机场理论的图像纹理特征参数的提取方法和应用。
With the development of the experimental technology , researchers found out that there is the obvious distinction between the experimental result and the prediction of the mean field theory on the critical phenomenon 随着实验技术的发展，研究者们发现临界现象的实验资料与平均场理论的预言有明显的偏差。
This dissertation established numerical methods in the stochastic structural analysis on the basis of random fields theory , stochastic variational principle , monte carlo method and reliability theory , etc . 本文依据随机场理论、随机变分原理、蒙特卡罗法以及可靠度理论等，建立了随机结构分析的数值理论和方法。
In the third chapter , the origin of uncertainty and random field model as well as the probability characteristics of soil parameters , including self - correlation and cross - correlation , are introduced 第三章分析土性参数的概率统计特性,包括参数不确定性的来源、随机场理论模型、土性参数的自相关性和互相关性等。
In the theoretical framework of the relativistic mean field , the influences of ( superscript - ) meson condensate on the equation of state and the particle fractions of neutron star matter including delta isobars are studied 摘要在相对论平均场理论框架下研究了(上标- )介子凝聚对包括共振态的中子星物质状态方程及其粒子分布的影响。
