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transition theory
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  transition theory
In this work, an experimental verification for the transition theory from gray to white cast iron solidification is presented.
      
A new theory of electronic energy transfer is constructed taking into account the electronic transition theory.
      
Both processes (fracture and crystallization) are analyzed from the standpoint of phase transition theory.
      
Exact Solutions to the Variational Problem of the Phase Transition Theory in Continuum Mechanics
      
We first discuss nonlinear aspects of phase transition theory applied to a particular liquid crystal phase transition.
      
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Using the multiphonon transition theory as applied to the problem of soliton pairand polaron generation in polyacetylene by Su and Yu,we have calculated the decayrate of an injected electron into a polaron and an electron-hole pair into a soliton pair.The main distinguishing feature of our calculation is that the nonorthogonality of theelectronic wave functions in the N-electron transition is strictly taken into account. It was shown that the nonradiative decay time of an injected electron into a...

Using the multiphonon transition theory as applied to the problem of soliton pairand polaron generation in polyacetylene by Su and Yu,we have calculated the decayrate of an injected electron into a polaron and an electron-hole pair into a soliton pair.The main distinguishing feature of our calculation is that the nonorthogonality of theelectronic wave functions in the N-electron transition is strictly taken into account. It was shown that the nonradiative decay time of an injected electron into a polaronby lattice relaxation is not less than 4.7×10~(-15)s.which is comparable with the numericalresult obtained by Schrieffer et al.,and that of an electron-hole pair into a soliton-pairis more than 1×10~(-15)s, which is in agreement with the experimental results. The calculation of cross section for the soliton-pair photoproduction shows that thetransition for neutral soliton-pair photoproduction is forbidden that is in agreementwith the selection rule discussed by Su and Yu.

根据苏肇冰和于渌提出的聚乙炔中极化子及孤子对的形成理论,本文具体计算了注入电子和电子-空穴对通过多声子跃迁形成电子极化子和孤子对的形成速率.我们计算的特点是严格考虑了多电子跃迁中的非正交性问题. 计算结果表明一个注入电子在不小于 4.7 ×10~(-15)秒的时间内弛豫形成电子极化子,很接近Schrieffer等人的计算结果.而电子-空穴对在大于 1×10~(-15)秒的时间内形成孤子对,与有关实验相符. 对光生中性孤子对及带电孤子对的俘获截面的比较表明,生成中性孤子对的跃迁是禁戒的,这与苏、于所讨论的选择定则是一致的.

There are two forces,phase transition driving force △G and resistant force,exerting on the moving interface in the process of solid state phase transforma-tion(SSPT).The interface moves when the driving force △G reaches a criticalvalue △G_R to overcome the resistant force.It is reasonable to postulate the ave-rage velocity of moving △G′=△G-△G_R,i.e.V=(?)(△G-△G_R)=(?)(△G′).Startingfrom the elementary consideration of solid state transition theory and internalfriction theory,the relation between interface...

There are two forces,phase transition driving force △G and resistant force,exerting on the moving interface in the process of solid state phase transforma-tion(SSPT).The interface moves when the driving force △G reaches a criticalvalue △G_R to overcome the resistant force.It is reasonable to postulate the ave-rage velocity of moving △G′=△G-△G_R,i.e.V=(?)(△G-△G_R)=(?)(△G′).Startingfrom the elementary consideration of solid state transition theory and internalfriction theory,the relation between interface dynamic function V=(?)(△G′)andsome physical parameters was obtained as(?)(dln(?)(△G′))/(d△G′)=Q~(-1)ω/μ (dF)/(dξ)(?)(dξ)/(dt)where c is a coupling coefficient,Q~(-1) is the internal friction in the process ofSSPT,ω is the frequency of vibration of the specimen in the internal frictionmeasurement process,μ is modulus,(dF)/(dξ) is transformation rate and dξ/dt isthe varying rate of the acting field.All the parameters in the right side aremeasurable.So,it is possible to drive the dynamic function V=(?)(△G-△G_R)from experimental data.The possible applications of this method to the investigation of SSPT werediscussed and some application examples were listed.

固态相变中相界面或畴界面的运动特征决定了相变系统的多方面宏观物性.界面的平均运动速度V 可用净驱动力ΔG′(相变驱动力ΔG 与界面运动时的临界起动力ΔG_R 之差)的函数(?)(ΔG′)来描述,V=(?)(ΔG-ΔG_R).当有单向的外场(场强为ξ,如电场、磁场、应力、温度梯度等)作用于相变系统使界面作单向运动时,叠加一交变场可使界面的单向运动叠加一交交运动.计算得出了动力学关系式(?)(ΔG′)与交变运动的能量损耗Q~(-1)、测量频率ω、材料弹性模量μ、相转变率dF/dξ以及场强变化率dξ/dt 间的关系式为c-(d ln (?)(ΔG′))/(dΔG′)=Q~(-1)ω/μ(dF)/(dξ) (dξ)/(dt)此处c 为与耦合系数有关的常数.上式右方均为实验可测知的物理量,因此通过适当的实验程序即可求解出界面动力学关系式V=(?)(ΔG-ΔG_R)以及其中的有关动力学参数.本文讨论了这一方法在固态相变研究中的若干应用.

Based on the known lattice gauge theory and experiments, etc., it can be thought that the quark will be dissociated to much sandons at high energy .Then a many shell-state model of the particle-structure is discussed. When energy changes, the phase transition among sandons and quarks, subquarks will appear. When combined with the known phase transition theory of hadron,the correlation function, the lattice gauge theory and the superconductive theory,this phase transition in particle-structure...

Based on the known lattice gauge theory and experiments, etc., it can be thought that the quark will be dissociated to much sandons at high energy .Then a many shell-state model of the particle-structure is discussed. When energy changes, the phase transition among sandons and quarks, subquarks will appear. When combined with the known phase transition theory of hadron,the correlation function, the lattice gauge theory and the superconductive theory,this phase transition in particle-structure is expounded. Finally, the sandon equation can be reduced to the renormalization group equation in par icular the phase space.

基于已知的格点规范理论和实验,可以认为高能时夸克将分解为众多的砂子。据此,我们提出一种粒子结构的多层次-状态模型。在能量改变时,砂子和夸克、亚夸克间彼此相变。结合已知的强子相变理论,关联函数,格点规范理论和超导理论,我们论证了这种粒子结构中的相变。最后,砂子的方程在特殊的相空间中可以化为重正化群方程。

 
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