고전압 진공 차단기용 전자석 액추에이터 동작특성 해석 및 설계

학위논문(석사) --서울대학교 대학원 :전기. 컴퓨터공학부,2008.2.Maste

방향성 스미기 모형에서 다리본드의 쪽거리 차원

학위논문 (석사)-- 서울대학교 대학원 : 물리·천문학부, 2015. 2. 강병남.Bond percolation is a mathematical model studying the emergence of a spanning cluster as bonds are occupied in Euclidean space without any preferred direction. Bonds are classified into two types: bridge bonds and non-bridge bonds. Bridge bonds are ones that once occupied, a spanning cluster is created in one direction of the system. When the occupation of bridge bonds is prohibited and only non-bridge bonds are occupied, the system is divided into two partsthe boundary composed of bridge bonds forms a fractal object. It has been revealed that the fractal dimension of that object is related to the continuity of the so-called explosive percolation transition. In the problem of directed percolation, however, where the bonds possess a preferred direction of flow, not much is known about these bridges. We obtain the fractal dimensions of the bridges in various dimensions and compare them to those of ordinary percolation. It will further be shown that these bridges relate to the continuity of the phase transition in the same way those of ordinary percolation do, and outline the implications of these results.Abstract Contents List of Figures List of Tables 1. Introduction 2. Bridge Bonds in Directed Percolation 2.1. Directed Square Lattice 2.2. Directed Body-Centered Cubic Lattice 2.3. Partially Directed Square Lattice 3. Roughness Exponent 4. Conclusion Bibliography Abstract in KoreanMaste