aggregation pattern transitions by slightly varying the attractiverepulsive function聚合模式略有不同attractiverepulsive函数的转换.pdfVIP

Aggregation Pattern Transitions by Slightly Varying the Attractive/Repulsive Function 1,2,3 1,2 4,5 6 7 Zhao Cheng , Hai-Tao Zhang *, Michael Z. Q. Chen , Tao Zhou , Najl V. Valeyev 1 State Key Laboratory of Digital Manufacturing Equipments and Technology, Huazhong University of Science and Technology, Wuhan, People’s Republic of China, 2 The Key Laboratory of Image Processing and Intelligent Control, Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, People’s Republic of China, 3 Department of Electrical and Computer Engineering, Temple University, Philadelphia, Pennsylvania, United States of America, 4 Department of Mechanical Engineering, The University of Hong Kong, Pokfulam, Hong Kong SAR, People’s Republic of China, 5 School of Automation, Nanjing University of Science and Technology , Nanjing, People’s Republic of China, 6 School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, People’s Republic of China, 7 Centre for Molecular Processing, School of Engineering and Digital Arts, University of Kent, Kent, United Kingdom Abstract Among collective behaviors of biological swarms and flocks, the attractive/repulsive (A/R) functional links between particles play an important role. By slightly changing the cutoff distance of the A/R function, a drastic transition between two distinct aggregation patterns is observed. More precisely, a large cutoff distance yields a liquid-like aggregation pattern where the particle density decreases monotonously from the inside to the outwards within each aggregated cluster. Conversely, a small cutoff distance produces a crystal-like aggregation pattern where the distance between each pair