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김국현 ( Kim Cook Hyun ),이승현 ( Lee Seung Hyun ),김주인 ( Kim Ju In ) 공군사관학교 2017 군사과학논집 Vol.68 No.1
분자동역학 전산모사를 이용하여 좁은 관에 속박된 자기 회피 고분자의 자유에너지가 속박의 정도와 밀도에 따라 어떻게 주어지는지 측정하였다. 유한 크기 효과(finite size effect)를 고려한 밀도 □와 양 끝이 열린 원기둥 속박하의 고분자의 자유에너지 F<sub>cyl</sub>의 관계는 농축영역(concentrated regime)에서 F<sub>cyl</sub>~N□<sup>1.3</sup>로서 기존의 이론 분석 F<sub>cyl</sub>~N□<sup>1.77</sup>과 차이를 보이며, 구형 속박에서의 자유에너지 F<sub>sphere</sub>~ N□<sup>1.97</sup>과도 다르다. 이 때문에 구형 속박하의 고분자는 원기둥에 속박된 고분자로 환산하여 생각할 경우, 닫힌 원기둥의 경우를 고려해야 한다. We study the free energy of a self-avoiding flexible polymer in an open cylindrical confinement through molecular dynamics simulation. In the concentrated regime, the free energy F<sub>cyl</sub> of a flexible polymer in a open narrow cylinder is measured and related to the density □ by F<sub>cyl</sub>~ N□<sup>1.3</sup>, considering a finite size effect of a monomer in calculation of the density. This result is different from the former theoretical free energy F<sub>cyl</sub>~N□<sup>1.77</sup> but also the free energy of a polymer in a spherical confinement F<sub>sphere</sub>~ N□<sup>1.97</sup> measured in molecular dynamics simulation. This means a polymer in a sphere in concentrated regime should be mapped to a polymer in a closed cylinder.
김국현 ( Kim Cook Hyun ),이승현 ( Lee Seung Hyun ),김주인 ( Kim Ju In ) 공군사관학교 2017 空士論文集 Vol.68 No.1
We study the free energy of a self-avoiding flexible polymer in an open cylindrical confinement through molecular dynamics simulation. In the concentrated regime, the free energy F<sub>cyl</sub> of a flexible polymer in a open narrow cylinder is measured and related to the density □ by F<sub>cyl</sub>~ N□<sup>1.3</sup>, considering a finite size effect of a monomer in calculation of the density. This result is different from the former theoretical free energy F<sub>cyl</sub>~N□<sup>1.77</sup> but also the free energy of a polymer in a spherical confinement F<sub>sphere</sub>~ N□<sup>1.97</sup> measured in molecular dynamics simulation. This means a polymer in a sphere in concentrated regime should be mapped to a polymer in a closed cylinder.
김주인 ( Kim Ju In ),원기탁 ( Won Ki Tak ),김국현 ( Kim Cook Hyun ) 공군사관학교 2017 군사과학논집 Vol.68 No.1
AT Model(Ashkin-Teller Model)은 위상구조(Network에 포함된 Node와 서로 다른 두 Node를 연결한 Link(Edge)의 전체 집합)가 동일한 서로 다른 두 Network 사이에서 일대일 대응을 이루는 Link 쌍을 통해 Spin 상호작용이 작용하는 모형이다. AT Model은 일대일 대응을 이루는 한 쌍의 Link 간 Spin 상호작용의 세기에 따라 Spin 상호작용의 세기가 작을 때는 2차 상전이가, 클 때는 1차 상전이가 나타나는 것이 전산모사를 통해 관찰로 잘 알려져 있다.[1] 본 논문에서는 두 Network 사이의 Spin 상호작용이 상당히 강할 때 1차 상전이가 발생한다는 사실을 해석적 접근을 통해 밝혔다. 본 논문에서의 해석적 방법론은 다른 Model에서의 1차 상전이의 해석적 연구에 적용 가능할 것으로 기대된다. AT Model(Ashkin-Teller Model) is a model that has spin interaction between a pair of link belonging to two different networks with same topology structure. Types of the phase transition in the AT model can be changed by strength of the link interaction between two different network. It is well known numerically that the second phase transition appears when the spin interaction is weak while the first phase transition appears when the spin interaction is strong enough.[1] In this paper, We study the condition of the first order phase transition by analytic method. We also expect that we can understand the first order phase transition in other models in the way which is given by this paper.
김주인 ( Kim Ju In ),원기탁 ( Won Ki Tak ),김국현 ( Kim Cook Hyun ) 공군사관학교 2017 空士論文集 Vol.68 No.1
AT Model(Ashkin-Teller Model) is a model that has spin interaction between a pair of link belonging to two different networks with same topology structure. Types of the phase transition in the AT model can be changed by strength of the link interaction between two different network. It is well known numerically that the second phase transition appears when the spin interaction is weak while the first phase transition appears when the spin interaction is strong enough.[1] In this paper, We study the condition of the first order phase transition by analytic method. We also expect that we can understand the first order phase transition in other models in the way which is given by this paper.