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N個 粒子의 系와 n個의 細胞를 가진 位相空間에서의 內部에너지와 Entropy에 관한 고찰
金壽善 建國大學校附設 應用科學硏究所 1979 理學論集 Vol.5 No.-
1. The temperature is raised from a value where T《θ , the numbers of particles in the cells of higher energy increase, but even at very high temperatures, where T》θ, one-third of the particles remain in state of zero energy. And at very law temperatures both U and S approach zero. At very high temperatures U approaches Nw and S approaches Nk In3. 2. Hence at T=0°K, ?? and N₁= N₂.....0, That is, all of the molecules are in the lowest vibrational energy state at Ο°K, at very low temperatures where T《?? the total energy is given by ?? and the total energy of a rotating molecule ?? is given by ??. but entropy ?? can be approximated by zero. 3. At very high temperatures where ?? and ?? the energy ?? of all oscillator is then 1/2 NkT, the total energy ?? can be approximated by 2Nk(T/θ)², but the entropy of the vibrational and rotating molecule are ??, ??.
Coriolis의 가속도에서 본 Maxwell-Boltzmann의 속도 및 속력 분포 함수
金壽善 건국대학교 1970 學術誌 Vol.11 No.1
1) As shown 〈Fig. 5〉 graph of Maxwell-Boltzman distributional function (Velocity vector) is the maximum in origin of angular coordinates, but the accelerated graph of coriolis form is shown zero in origin of angular of angular coordinates. 2) Curve of maxwell-Boltzmann distributional function (velocity scalar =speed) and graph of coriolis accerational form is obtained both zero in origin of angular coordinates which shows 〈Fig. 6〉 and then the accelerated graph of Coriolis form was obtained the maximum more rapidly than velocity scalar (=speed) of Maxwell-Boltzmann distribtional function.
金壽善 건국대학교 1984 學術誌 Vol.28 No.2
Normally the more close-packed planes would be expected to have the lowest value of α and hance these would be the planes most likely to develop as interfaces. On the basis of this discussion we may state an important difference between solids and liquids in the following manner: the volume of the interfacial tension between a solid phase and liquid phase is depensdient on the indices of the planes of the solids forming the interface. Then, consider the problem interm of interfacial tension there is boundary between the α and β phase with a surface tension γαβ. This tension is acting in such a way as to reduce the length of the boundary between the α and β phase and this consideration comes from the fact that λ is a function of crystallographic orientation of the boundary in the case of solids. As a result there will exist the forces previously discussed trying to shorten to boundaris ; in addition there may be angular forces attempting to cense the boundary to turn into a crystallographic orientation having lower energy, and then, I was solve entropy difference between solids and liquids in freezing of liquid metals.
金壽善 건국대학교 1990 學術誌 Vol.34 No.2
This paper is research for abnormal heat conduction in surface width of the parallel plate. It given to exchange temperature formula carried by chose crossing from surface width of parallel plate. We find for the exchange temperature equation of the five formula, that is, ◁그림삽입▷(원문을 참조하세요)
固體에 있어서 Entropy의 統計熱力學的 量에 관하여
金壽善 建國大學校附設 應用科學硏究所 1976 理學論集 Vol.2 No.-
1〕Average ?? of Hamiltonian function is the same thermodynamics internal energy Εby the system. namely, that is Η=Ε, Ψ=F, Θ=kT and ?? And thermaldynamics quantities has made connected with statistical mechanics quantities. The quantitative relation is expressed as follow table. _____________________________________________________________________ Thermal dynamics quantities Statistical mechanics quantities _____________________________________________________________________ internal energy E ←----------→Hamiltonion function Η absolute temperature T ←----------→?? Entropy S ←----------→ - k lnp Helmholtz freeenergy F ←----------→Ψ_____________________________________________________________________ 〔2〕?? are shown as Hamiltonian function H and Helmholtz free energy Ψwhich were obtained in statistical mechanics quantities. And this formula will be used widely for diffusion in solids in the future.
김수선,강병남 건국대학교 기초과학연구소 1994 理學論集 Vol.19 No.-
Wolf-Villain 모델은 분자살적층(molecular beam epitaxy)에 의한 표면성장과정에서 저온에서의 표면의 거칠음성질을 연구하는데 좋은 모델이다. 원 논문에서는 이 모델이 멀린(Mullin)의 보편성군에 속함에 제시하였는데, 본 논문에서는 몬테칼로 시뮬레이션을 이용하여 ▽⁴h 로 유도되는 표면성장에서 ▽²h로 유도되는 표면성장으로의 전환이 이루어짐을 보였다. The Wolf-Villain model is known as a simple toy model for molecular beam epitaxial surface growth in low temperature limit. In the original paper, it was suggested that the model can be described by the Mullin's equation. However, in this paper, we show that the model exhibits the crossover behavior from the ▽⁴h-driven surface growth to the ▽²h-driven surface growth by performing extensive Monte Carlo simulations. PACS numbers : 68.55, 05.40, 61.50C
金壽善 建國大學校基礎科學硏究所 1986 理學論集 Vol.11 No.-
This paper was induced economical formula for linear thickness of adiabatic plane, cylinder and multiple laminar of thermal insulator. That is, formula for economical linear thickness of thermal insulator is, at plane wall of simple layer, as well as, ?? and, formular for economical linear thickness at wall of pipe line is as follows, ??
김수선,강병남 건국대학교 1993 學術誌 Vol.37 No.2
We study the surface transitions, roughening transition, preroughening transition, orientational roughening transition, and reconstruction arising in an isotropic frustrated lsing model. Due to the competing interactions between nearest neighbors and further nearest neighbors in the Hamiltonian, a variety of surface transitions occurs. The static and dynamic behaviors of the surface transitions are examined. The dynamic equations have been obtained by using the Langevin equation from the sine-Gordon Hamiltonians. We use the dynamic renormalization group method to study the dynamics of the sine-Gordon models for the preroughening and the orientational roughening transitions. Implications of our results for spatial and temporal behavior of surfaces are studied.