Geometrical multifractality of the perimeter of DLA clusters |
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| Institution: | 1. Department of Mathematical Physics, National University of Ireland Maynooth, Maynooth, Co.Kildare, Ireland;2. School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin 4, Ireland;1. MIIT Key Laboratory of Critical Materials Technology for New Energy Conversion and Storage, State Key Laboratory of Urban Water Resource and Environment, School of Chemistry and Chemical Engineering, Harbin Institute of Technology, Harbin, 150001, PR China;2. School of Environmental Science and Engineering, Harbin Institute of Technology, Harbin, 150001, PR China;3. Key Laboratory of Micro-Systems and Micro-Structures Manufacturing and School of Mechatronics Engineering, Harbin Institute of Technology, Harbin, 150001, PR China;4. School of Materials Science and Engineering, China University of Petroleum (East China), Qingdao, 266580, PR China;5. University of South Africa, Institute for Nanotechnology and Water Sustainability, College of Science, Engineering and Technology, Johannesburg, South Africa;1. Department of Hematology, Tongji Hospital, Tongji Medical College, Huazhong University of Science and Technology, Wuhan, China;2. CAS Key Laboratory of Genomic and Precision Medicine, Beijing Institute of Genomics, Chinese Academy of Sciences and China National Center for Bioinformation, Beijing, China;3. Immunotherapy Research Center for Hematologic Diseases of Hubei Province, Wuhan, China;4. University of Chinese Academy of Sciences, Beijing, China;1. Carbon Composite Materials Research Center, Korea Institute of Science and Technology, 92 Chundong-ro, Bongdong-eup, Wanju-gun, Jeollabuk-do, 55324 Republic of Korea;2. Department of Nano Material Engineering, Korea University of Science and Technology, 217 Gajeong-ro, Yuseong-gu, Daejeon, 34113, Republic of Korea;3. Department of Energy Engineering, Konkuk University, 120 Neungdong-ro, Gwangjin-gu, Seoul, 05029, Republic of Korea;4. Department of Materials Science and Engineering, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul, 08826, Republic of Korea;1. Amsterdam UMC - University of Amsterdam, Department of Clinical Chemistry, Laboratory Genetic Metabolic Diseases, AZ Amsterdam, the Netherlands;2. Amsterdam Gastroenterology Endocrinology Metabolism, Amsterdam, the Netherlands;3. Amsterdam Reproduction & Development, Amsterdam, the Netherlands;1. Department of Infrastructure Engineering, The University of Melbourne, Parkville, Victoria, 3010, Australia;2. Integrated Water and Land Management Program, ICARDA, Cairo, Egypt;3. Department of Landscape Architecture and Rural Systems Engineering, Seoul National University, Seoul, Republic of Korea;1. Department of Chemistry and Biochemistry, Long Island University, Brooklyn, NY, USA;2. Department of Pharmacology and Toxicology, Long Island University, Brooklyn, NY, USA |
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| Abstract: | The geometrical multifractality of diffusion-limited aggregation (DLA) clusters is investigated by evaluating the Dq spectrum for q⩾0 using the standard box-counting technique. Using the cluster points themselves as input to the algorithm, deviations were found from the expected multifractal scaling. However on examining the geometric scaling properties of the cluster perimeter, such deviations were found to be significantly reduced, thus allowing a reliable Dq spectrum to be calculated. |
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