大学热学的解题方法剖析

按对卓越教师的要求,以热学为例,总结了建模法、求导法、积分法、图解法、近似计算法、类比法、反证法等几种常用的解题方法,使学生在掌握知识的同时,提高思维创新能力,产生希望学习更多知识的欲望.     

一种在二步相移数字全息中实现准确相移的方法

相移数字全息中的相移准确性决定了重建结果的质量,本文提出了在二步相移数字全息中.实现准确相移的方法.该方法使用数字电压源开环控制普通的压电陶瓷微位移器,通过连续以微小的间隔来改变施加在压电陶瓷微位移器上的电压,可以获得一系列对应于不同相移角的全息图像,进而可以利用这些全息图像重建出来物光波在全息面上的强度分布.实验中采...     

密度依赖口袋常数下奇异物质的热力学自洽处理及其对混合星性质的影响

在MTT口袋模型的基础上采用密度依赖口袋常数,给出了奇异夸克物质的热力学关系,并用于描述奇异夸克物质及混合星内的夸克相,研究了奇异星、混合星的性质.结果表明,密度依赖口袋常数下,奇异夸克物质的压强公式中有一个附加项,而能量密度中则没有,从而保证了系统的热力学自洽性.在新的热力学关系下,奇异夸克物质的状态方程变软,相应的奇异星的引力质量和对应的半径均变小;混合星的状态方程也变软,其质量变小,而对应的半径也变小.说明经热力学自洽处理后该模型对中子星的状态方程及相应的质量-半径关系等都有显著的影响.     

四方Mo2B基本物性的第一性原理研究

采用基于密度泛函理论的第一性原理方法,对新近发现的四方Mo2B在0～40 GPa压力范围内的物性进行了研究,研究内容包括弹性、各向异性、脆性延展性、硬度、理论强度、热容、热膨胀系数等基本物理性质.研究发现在0～40 GPa压力范围内,四方Mo2B晶体均满足力学稳定性条件,并且表现出较强的各向同性.同时发现该晶体具有较高的抗压缩能力,但抗剪切能力较差,抗压和抗剪切能力会随压力增加而增长.此外还发现四方Mo2B为韧性材料,且压力越大韧性越强.计算显示它的维氏硬度为14.3 GPa,限制其作为超硬材料的应用.通过应力-应变的计算发现其不同方向的理想拉伸及剪切强度都比较低.此外,还利用准谐德拜模型研究了四方Mo2B的热膨胀系数以及定容热容等热力学性质.     

N在Zn1-xBexO合金中热力学稳定性的第一性原理研究

采用第一性原理计算方法,通过改变Zn1-xBexO合金中Be的浓度及其掺杂位型,研究N在Zn1-xBexO合金中的形成能和受主离化能,分析了p型导电的可能性.结果表明:Be-N共掺杂时,N优先占据周围没有Be的O位置,每增加一个Be近邻掺杂原子,No的形成能增加约0.2 eV.当近邻Be原子数为2和3时,No的受主离化能比较低.Be浓度为11at;时,具有2个近邻Be原子的No的受主离化能降低至0.1 eV左右,可以认为是浅受主,Be-N共掺ZnO才可能呈p型导电.考虑No在室温条件下的受主离化率和No形成能的影响,估算出Be-N所提供的空穴载流子浓度不会高于1017 cm-3;如果计及n型背景载流子的补偿效应,Be-N共掺ZnO的p型导电率应该比较低.     

Influences of the bag constant on properties of hybrid stars

Influences of the bag constant on the properties of hybrid stars are investigated by using relativistic mean field theory and the MIT bag model to describe the hadron phase and quark phase in the interior of neutron stars, respectively. Our results indicate that the onset of hadron-quark phase transition is put off and the appearance of hyperon species is increased with the increase in bag constant. As a result, the hybrid star equation of state for a mixed phase range stiffens whereas that of the quark phase range softens, and the gravitational mass as well as the corresponding radius of hybrid stars are increased obviously. The gravitational mass of a hybrid star is increased from 1.42 M_⊙ (M_⊙ is solar mass) to 1.63 M_⊙ and the corresponding radius is changed from 9.1 km to 12.2 km when the bag constant (B^1/4) is increased from 170 MeV to 200 MeV. It is interesting to find that hybrid star equations of state become non-smooth when the TM2 parameter sets in the framework of relativistic mean field theory used to describe the hadronic matter, and consequently, the third family of compact stars appear in the mass-radius relations of hybrid stars in the narrow scope of the bag constant from 175 MeV to 180 MeV. These show that the choice of the bag constant in the MIT bag model has significant influence on the properties of hybrid stars.     

Bs,d → μ^μ^- decays in a flavor changing Z＇ model

We study the pure leptonic decays Bs,d → μ^μ^- in a Flavor Changing ZI Model. From the recent measurements of the branching ratios B（Bs,d → μ^μ^-）, we have derived the bounds on the effective μ-μ-Z＇ lepton coupling Bμμ^L. We find that, （i） if neglecting the contribution from the right-handed lepton coupling R L Bμμ^R, we obtain 1.32 〈 Bμμ^L 〈 3.32; （ii） if considering the contribution from the right-handed lepton coupling Bμμ^R and setting Bμμ^R and setting Bμμ^L= Bμμ^R, we obtain 0.99 〈 Bμμ^L 〈 2.19. Our results could be useful for researching Z＇ effects.     

一种在二步相移数字全息中实现准确相移的方法

相移数字全息中的相移准确性决定了重建结果的质量,本文提出了在二步相移数字全息中实现准确相移的方法.该方法使用数字电压源开环控制普通的压电陶瓷微位移器,通过连续以微小的间隔来改变施加在压电陶瓷微位移器上的电压,可以获得一系列对应于不同相移角的全息图像,进而可以利用这些全息图像重建出来物光波在全息面上的强度分布.实验中采用已被CCD直接记录的物光波在全息面上的强度分布作为标准来评价前面重建结果的质量,计算了这些重建结果和评价标准之间的相关系数,结果表明相关系数达到最大时对应的全息图具有准确的相移角π/2.实验中比较了使用所确定准确相移角和理论相移角分别重建出来物光波的质量,计算机模拟和实验的结果证实了该方法的有效性.     

激光场线宽对电磁诱导吸收效应的影响

采用密度矩阵方程,在引入激光场线宽的条件下,计算了三个电偶极跃迁构成N型四能级系统中介质对探测场的吸收,从而研究激光场线宽对电磁诱导吸收效应的影响.结果表明:随着激光场线宽增大,原子相干将会减弱,从而抑制电磁诱导吸收.     

A formula used to subtract the effect of gamma-ray of the others to that of measured reaction in measurement of cross section of nuclear reaction and its application

According to the regulation of growing and decay of artificial radioactive nuclide, a formula used to subtract the effect of characteristic γ-ray of the others to that of measured reaction was deduced. And then the cross sections of ¹²⁰Te (n,2n)^119mTe reaction induced by neutrons around 14~MeV were measured by activation relative to the ⁹³Nb (n, 2n) ^92mNb. In the process of the cross sections measured to be calculated, it was subtracted that the effect of characteristic γ-ray of ¹²⁶Te (n, p) ¹²⁶Sb to that of measured ¹²⁰Te (n, 2n) ^119mTe reaction using the formula deduced. The experimental results were (689±37) and (750±41) mb at the neutron energies of (13.5±0.3) and (14.6±0.3)MeV, respectively. Measurements were carried out by γ-detection using a coaxial HPGe detector. As samples, spectroscopically pure tellurium powder has been used. The fast neutrons were produced by the T(d, n)⁴He reaction. The neutron energies in these measurements were determined by the method of cross-section ratios between ⁹⁰Zr (n, 2n) ^89m+gZr and ⁹³Nb (n, 2n) ^92mNb reactions.