The stress driven instability in elastic crystals: Mathematical models and physical manifestations

Summary Equilibrium equations and stability conditions for the simple deformable elastic body are derived by means of considering a minimum of the static energy principle. The energy is supposed to be sum of the volume (elastic) and the surface terms. The ability to change relative positions of different material particles is taken into account, and appropriate natural definitions of the first and second variations of the energy are introduced and calculated explicitly. Considering the case of negligible magnitude of the surface tension, we establish that an equilibrium state of a nonhydrostatically stressed simple elastic body (of any physically reasonable elastic energy potential and of any symmetry) possessing any small smooth part of free surface is always unstable with respect to relative transfer of the material particles along the surface. Surface tension suppresses the mentioned instability with respect to sufficiently short disturbances of the boundary surface and thus can probably provide local smoothness of the equilibrium shape of the crystal. We derive explicit formulas for critical wavelength for the simplest models of the internal and surface energies and for the simplest equilibrium configurations. We also formulate the simplest problem of mathematical physics, revealing peculiarities and difficulties of the problem of equilibrium shape of elastic crystals, and discuss possible manifestations of the above-mentioned instability in the problems of crystal growth, materials science, fracture, physical chemistry, and low-temperature physics.     

Pr0.15TbxDy0.85-xFe2 内禀磁致伸缩的测量

对稀土金属间Laves相赝二元化合物进行X射线衍射分析。其(440)峰出现劈裂，由(440)峰劈裂的程度可以确定内禀磁致伸缩的大小。本文采用X射线衍射的方法对Pr0．15TbxDy0．85-xFe2系列粉末样品的(440)峰步进扫描，并对扫描结果进行拟合，对拟合得到的两组双线峰之间的间距计算得到内禀磁致伸缩λ111,拟合曲线与实验点符合很好，结果表明Pr0．15TbxDy0．85-xFe2的内禀磁致伸缩随Tb含量的增加而增加，并且用0．15的Pr替代Dy后，在x=0．3时，Pr0．15TbxDy0．85-xFe2的内禀磁致伸缩λ111比Tb0.27Dy0.73Fe2的内禀磁致伸缩λ1ll大。     

块状LaNi5基纳米合金的正电子湮灭研究

利用高温高压技术，在不同的压力和温度(-4．5GPa，-800℃)下将LaNi5基快淬合金粉直接压制成了块状纳米晶合金。X射线衍射分析表明，高压使其晶粒内部发生了明显的压致晶粒碎化，其平均晶粒尺寸在4．5GPa下从75．5nm降至24．6nm。利用正电子湮灭技术研究了这种晶粒碎化效应对纳米合金内部缺陷结构的影响。测试结果表明，在高温高压的作用下，由于界面上原子的迁移和弛豫加剧，导致晶界上尺寸较大的微孔隙缺陷逐渐转化为尺寸较小的自由体积缺陷，使得纳米合金的致密度逐渐增强，显微硬度逐渐升高，从而在高温高压下得到致密的块状纳米合金材料。     

La2/3Ca1/3MnO3中的输运机制与CMR效应

研究了超大磁阻材料La2/3Ca1/3MnO3的磁电特性，发现由电阻测量得到的绝缘体．金属相变与由磁化曲线得到的顺磁-铁磁相变温区完全一致，均随磁场的增强推向高温区。结果证明样品输运行为的变化起因于磁结构的变化，在Tc附近产生超大巨磁电阻效应。     

磁场对含稀土铝锂合金断裂特征的影响

以含铈铝锂合金为研究对象，研究了磁场对含稀土铝锂合金时效过程的影响，从断裂特征及微观组织两方面分析了磁场作用规律。实验结果表明：未加磁场时，合金的断裂特征以理断裂为主；扁平晶粒厚度不匀，在磁场作用下，此合金的断裂特征与微观组织发生明显改观，随磁感应强度增强，合金主断裂面上准解理断裂特征减弱，同时二次裂纹增多，分层比较升高；扁平晶粒厚度变薄，尺寸趋于均匀。用少体物理理论，探讨了磁场对含稀土合金原子扩散过程的影响，为进一步研究稀土元素在磁场中的行为及其局域效应提供了一定的实验依据。     

How Chemistry and Physics Meet in the Solid State

To make sense of the marvelous electronic properties of the solid state, chemists must learn the language of solid-state physics, of band structures. An attempt is made here to demystify that language, drawing explicit parallels to well-known concepts in theoretical chemistry To the joint search of physicists and chemists for understanding of the bonding in extended systems, the chemist brings a great deal of intuition and some simple but powerful notions. Most important among these is the idea of a bond, and the use of frontier-orbital arguments. How to find localized bonds among all those maximally delocalized bands? Interpretative constructs, such as the density of states, the decomposition of these densities, and crystal orbital overlap populations, allow a recovery of bonds, a finding of the frontier orbitals that control structure and reactivity in extended systems as well as discrete molecules.     

初授《高分子物理》课程的几点体会

作为初次参加《高分子物理》课程教学的教师,从听课、备课、上课、课后等方面进行了总结。只有做好这每个环节,并不断提高自身素质,才能逐渐成长为一名合格的专业教师。     

Shock wave research for engineering physics

Abstract

In this paper, several recent activities on shock wave research for engineering physics performed in China will be presented as the supplement of author's previous report of Ref. 1.     

The role of delay times in subcycle-resolved probe retardation measurements

The delay in the nonlinear response of matter to intense laser pulses has been studied since a long time regarding its nuclear contribution. In contrast, the electronic part of the nonlinear response in wide-band-gap dielectrics, which is usually dominant, is not well explored regarding its delay, and previous studies have revealed that the timescale is below 1 fs. Here, the influence of delay times on the recently introduced method of subcycle-resolved probe retardation measurements is investigated using a simulation. In the model assumed, the electronic nonlinearity is divided into the third order Kerr effect and the plasma contribution due to conduction band population in the strong laser field. In the regime of close-to-collinear pump-probe geometries, the probe retardation shows both π- and 2π-oscillations in the pump-probe delay. Sub-femtosecond delay times influence the phase of the oscillations significantly, but it remains difficult to distinguish the influence of the Kerr response from the plasma contribution.