아래와 같이 콜로퀴움을 개최하오니 많이 참석해 주시기 바랍니다. 4시 20분부터 2층 라운지세미나실에 다과를 준비하오니 많은 참석 부탁드립니다 아 래 제목: Scaling laws between facility and population densities 연사: 김 범 준 교수 (성균관대학교 물리학과) 일시: 2009년 11월 6일(금) 오후4:30 장소: 물리학과 세미나실(31355호실) 초록:When a new facility like a grocery store, a school, or a fire station is planned, its location should ideally be determined by the necessities of people who live nearby. Empirically, it has been found that there exists a positive correlation between facility and population densities. In the present work, we investigate the ideal relation between the population and the facility densities within the framework of an economic mechanism governing microdynamics. In previous studies based on the global optimization of facility positions in minimizing the overall travel distance between people and facilities, it was shown that the density of facility D and that of population ρ should follow a simple power law D ∼ ρ2/3. In our empirical analysis, on the other hand, the power-law exponent α in D ∼ ρα is not a fixed value but spreads in a broad range depending on facility types. To explain this discrepancy in α, we propose a model based on economic mechanisms that mimic the competitive balance between the profit of the facilities and the social opportunity cost for populations. Through our simple, microscopically driven model, we show that commercial facilities driven by the profit of the facilities have α = 1, whereas public facilities driven by the social opportunity cost have α = 2/3.We simulate this model to find the optimal positions of facilities on a real U.S. map and show that the results are consistent with the empirical data. 자료를 다운 받으시려면 아래의 링크을 클릭해주세요. http://physics.skku.ac.kr/ppt/20091106_김범준.pdf 09926273310992627331