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1.
1 泊松方程求解静电场的困难 给定区域V内的电荷分布ρ,给定区域边界S上的电势ф|·或作为区域边界的导体所带的总电荷,由唯一性定理可知,在边界条件下,求解泊松方程△~2ф=-ρ/ε,即可唯一地确定电场。 然而问题并非这样简单,因为电场和电荷是相互作用的统一体。电荷在空间产生电场,电场又作用在电荷上,使电荷发生运动,从而使电荷密度在空间发生变化,因此泊松方程也就复杂了。自由电荷只分布在某些导体的表面,空间中没有其它电荷,选择导体表面作为区域的边界,区域的电荷密度ρ=0,泊松方程变为拉普拉斯方程△~2ф=0,它是容易据边界条件求解的。上述是一种最简单的电荷分布,对于复杂些的电荷分布,比如在上述电荷分布  相似文献   

2.
导体球在均匀电场中的极化是个经典的可解析静电模型,该模型的常规处理方式是采用电像法或者直接求解边界条件限制下的拉普拉斯方程或泊松方程.提出了另外一种解析求解方法,利用数学变换建立表面电荷密度满足的微分方程,直接求解该方程得到了电荷密度分布函数.  相似文献   

3.
以往研究中求静电场电势时,主要是求解均匀电介质的泊松方程,缺少对介电系数非均匀效应的分析.本文针对非均匀电介质的修正泊松方程进行求解,并研究非均匀介电系数对电势分布的影响.首先采用高效准确的谱方法求解器对极坐标系下的泊松方程进行求解,在较少的网格点下数值解能与理论解吻合良好.随后,对均匀介质泊松方程求解非均匀介质的电势分布所引入的误差进行研究,发现介电系数存在径向和周向梯度时均会产生误差,且周向梯度影响更明显,同时会破坏精确解原始的分布特性.最后,准确求解了非均匀电介质的电势分布,发现周向梯度对电势分布的影响更为显著,并发现电势分布在介电系数梯度趋于无穷时的渐进解.  相似文献   

4.
本文证明:(1)对任何形式的、连续的、a-Si隙态密度分布函数,只要我们利用Riemann-Stieltjes积分中值定理,势垒区的泊松方程都可以解析求解.(2)M/a-Si势垒区泊松方程的抛物函数解,是由假定空间电荷区自由载流子耗尽带来的.  相似文献   

5.
该文利用辛普生算法数值求解场强迭加积分和利用有限差分算法数值求解二维泊松方程 ,求解等离子体截面上由于空间电荷分布所产生的电场 ,并对径向电场的分布情况进行研究 .通过有限差分算法的比较 ,表明数值求解场强迭加积分的可靠性 .在复杂区域的场强计算中 ,场强迭加法具有很大的优越性  相似文献   

6.
通过求解静电场的泊松方程以及静电场基本概念的运用 ,给出无限大带电体之间的静电势能的两种简便计算方法 ,与教程常用方法相比更易于掌握 .对掌握量子力学中利用微扰法和变分法计算氦原子基态能量、以及掌握电磁学中静电势能的计算等问题有很好的帮助 .  相似文献   

7.
电荷平面任意分布时二维静电场的有限元法   总被引:1,自引:0,他引:1  
应用有限元法,将泊松方程不能直接求解的二维静电场分布问题转变为一个变分问题,并最终归结为求解线性方程组的问题.  相似文献   

8.
根据对称正定算子方程的变分原理,将各向异性电介质静电场泊松方程第一和第二边 值问题转化为与之等价的变分问题。发现泊松方程实质上是与之等价的变分问题中所构造泛函 取得极值时所满足的奥斯特罗格拉茨基方程。由泛函的核函数定义了各向异性电介质静电场的 能量密度,并由该概念出发推导出能量密度泛函。富有物理意义的是各向异性电介质静电场的泊 松方程是能量密度泛函取得极值的必要条件,泊松方程的电势解是能量密度泛函取得极值的极值 函数。  相似文献   

9.
陈燊年推导出了各向异性电介质静电势泊松方程的δ函数形式,但未将其应用于各向异性电介质无界域泊松方程的定解问题上。文章以求解点电荷在无限大导体平面上方各向异性电介质中激发的电势分布为例,由各向异性电介质静电势泊松方程的δ函数形式出发,应用联合积分变换法求解各向异性电介质无界域泊松方程的定解问题。  相似文献   

10.
对热效应影响严重的准三能级系统激光晶体采用脉冲激光泵浦,在泊松方程中引入矩形方波函数,考虑晶体侧面与冷却液之间的对流传热,以及晶体端面与外界的热传导,建立圆柱形Nd:YAG晶体的热传导模型和边界条件,采用有限元差分方法,求解变形后的泊松方程,得到激光晶体内温度的建立过程和临界稳定温度场分布。结果表明,采用脉冲泵浦方式能大大降低晶体内部的温度,有效减小晶体内部的热效应,为准三能级和三能级系统激光晶体的热效应研究提供了参考。  相似文献   

11.
Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.  相似文献   

12.
The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.  相似文献   

13.
王慧 《科技信息》2008,(10):240-240
Wuthering Heights, Emily Bronte's only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.  相似文献   

14.
The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3~4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰~ -7.8‰, PDB) and matrix dolomites (-6.6‰~ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084~0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078~0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.  相似文献   

15.
Location based services is promising due to its novel working style and contents.A software platform is proposed to provide application programs of typical location based services and support new applications developing efficiently. The analysis shows that this scheme is easy implemented, low cost and adapt to all kinds of mobile nework system.  相似文献   

16.
以AC-13级配为基础,将橡胶颗粒代替部分集料掺入混合料中,以低温弯曲试验为评价方法对不同橡胶颗粒掺量下沥青混合料的低温抗裂性进行研究,并引入应变能密度值对混合料的低温抗裂性进行综合评价.试验结果表明:橡胶颗粒沥青混合料试件的破坏微应变均超过2 300,满足冬寒区的技术指标;无论是否掺加橡胶颗粒,随着温度的下降,沥青混合料破坏时的最大弯拉强度增大,弯拉应变降低,劲度模量增大;弯曲应变能密度在胶粒掺量为1%左右时具有较大的弯曲应变能密度值,此时橡胶颗粒沥青混合料具有较好的低温抗裂性.  相似文献   

17.
理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。  相似文献   

18.
Quality traits in wheat (Triticum aestirum L.) were studied by quantitative trait locus (QTL) analysis in a recombinant inbred line (RIL) population, a set of 131 lines derived from Chuan 35050 × Shannong 483 cross (ChSh). Grains from RILs were assayed for 21 quality traits related to protein and starch. A total of 35 putative QTLs for 19 traits with a single QTL explaining 7.99-40.52% of phenotypic variations were detected on 10 chromosomes, 1D, 2A, 2D, 3B, 3D, 5A, 6A, 6B, 6D, and 7B. The additive effects of 30 QTLs were positive, contributed by Chuan 35050, the remaining 5 QTLs were negative with the additive effect contributed by Shannong 483. For protein traits, 15 QTLs were obtained and most of them were located on chromosomes 1 D, 3B and 6D, while 20 QTLs for starch traits were detected and most of them were located on chromosomes 3D, 6B and 7B. Only 7 QTLs for protein and starch traits were co-located in three regions on chromosomes 1D, 2A and 2D. These protein and starch trait QTLs showed a distinct distribution pattern in certain regions and chromosomes. Twenty-two QTLs were clustered in 6 regions of 5 chromosomes. Two QTL clusters for protein traits were located on chromosomes 1D and 3B, respectively, three clusters for starch traits on chromosomes 3D, 6B and 7B, and one cluster including protein and starch traits on chromosome 1D.  相似文献   

19.
As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.  相似文献   

20.
赵英华 《科技信息》2008,(12):219-220
0.Preface China has long been boasting of its colorful and immense culture which comprises of Taoism,Confucianism and Buddhism.The interwoven influence among the religions on Chinese way of thinking,on the nation's behavior in their social life throughout the long history is beyond list.  相似文献   

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