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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.
김수선 건국대학교 1974 學術誌 Vol.18 No.1
From the previous discussion we can see that entropy is associated with the concept of randomness. The more random we make a system, in general, the higher the entrooy will be. Therefore, in addition to the mixing entropy contribution to randomness, there will be a vibrational contribution randomness associated with the process, since clearly the amplitude available for vibration is greater than that in the perfect regions of the crystal. And an increase in miving entropy can be obtained as the sum rate of increment of atoms of type B and (N0-n) atoms of type A on these N0. From (20) and (26) equation, it is seen that the fraction of particles in a high energy state increases exponentially as the temperature increases and decrease exponentially as the activation energy increases. This equation explains the resort for the exponential increase in the rate of chemical end physical reactions as the temperature is increased, since the traction of particles in the excited state, and consequently the number of particles able to reac increase in the same way. And inclosing ordecreasing of atomfraction is proportinal to partition function. Vibrational Entropy ΔS Will be positive then the frequency is towered. Also our discussion thus far has been concened with mixing randomness. There is another type of randomness which is of interest in the study o( the properties of crystals. This we will call vibrational randomness. In a crystal each atom is vibrating about a given position and hence there is a randomness associated with the position of an atom ata given time. If we consider that each atom is moving in a cell, we should expect the vibrational randomness to be relaed to the volume of the cell. The larger the volume of the cell, the larger will be the randomness and hence the larger will be entropy. The diameter of the cell would be expected to proportional to the amplitude of vibration of the atom. And vibrational entropy equation given by ΔS = k∑ (ax+b)i.
역전파 신경망을 이용한 등고선 데이타로부터 3차원 지형 복원 (II)
김수선,김동윤,김하진,Kim, Su-Sun,Kim, Dong-Yun,Kim, Ha-Jin 한국정보처리학회 1997 정보처리학회논문지 Vol.4 No.2
본 논문에서는 프렉탈과 신경망을 이용하여 등고선 데이타로부터 3차원 지형을 복원하는 더욱 개선된 알고리즘을 제안한다. 본 알고리즘은 이미 제안한 것[1, 2, 3]을 바탕으로 인접 패치들과의 관계를 고려하여 개선한 것으로, 지형의 특징을 좀더 사실 적으로 반영할 수 있는 더 많은 조건을 부여한 데이타를 기존의 특징 데이타에 부가하여 학습한다. 학습 결과 평균오차가 줄어든 학습 패턴을 이용하여 산악지형과 평탄지형 에 대하여 실험하고 결과 산악지형에 대한 적용이 더 효과적임을 보였다. We proposea a more inproved alperithm which can reconstruct the berrer 3D terrains from cintour line data usong the fractals and the Neural Networks and which is an improvement based on that in[1, 2, 3]with the con-sideration on neighboring patch.We have learned the feature data in addition to reflecththe charateristics of complicated toprgraphy, and have implemented on mountainous and flatness topography using the proposed learning pattern by the reduced average error.The results of implements reprsented that the mountainous top-ography is better than that of fltness on the similarity and the visuality.