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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 53962 (04)
- University: Sharif University of Technology
- Department: Physics
- Advisor(s): Ejtehadi, Mohammad Reza
- Abstract:
- The study of active matter has gathered a great deal of attention in the past decades. The collective behavior of living matter such as the murmuration of the flocks of birds is an example of these systems. In order to study different aspects of these systems, variant models have been studied and change of behavior, phase shift and the existence of multiple phases has been observed.Vicsek model was one of the first models studying these systems, where an aligning pairwise interaction causes the agents to move in the same direction.We investigated Vicsek model by considering an overdamped Langevin dynamics for fewparticle systems. We showed Vicsek model in fewparticle systems induces spontaneous change of direction. Also, we showed these collective changes emerge from fluctuations of velocities at the individual level. By solving the model analytically, we derived relations for its collective behavior, fluctuations of velocities, and change of direction then validated these relations by simulating the model, exploiting molecular dynamics techniques. Further, We calculated collective memory using autocorrelation of CoM velocity. Finally, we studied clustering effects on change of direction and compared the results for 2d and 3d cases
- Keywords:
- Biophysics ; Vicsek Model ; Collective Behavior ; Active Matter ; Soft Matter Physics ; Self-Propelled Particles ; Collective Motion
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