School of Science Department of Physics 71 Physics-guided Data-driven Modeling to Understand Complex Phenomena and to Solve Real-world Problems Supervisor: ZHANG, Rui / PHYS Co-supervisor: LI, Sai Ping / PHYS Student: WANG, Jiaen / PHYS Course: UROP1100, Spring This article discusses the behavior of self-propelled particle systems under confinement, specifically the emergence of collective motion in active solids. The simulations involve a spring system where N particles are placed in a 2D triangle lattice and connected by springs. By giving them an initial speed, the system converges into two motions due to self-propulsion. The previous results were reproduced. The effects of the restoring spring constant (ks) and boundary spring constant (kr) on the behavior of active solids are also investigated. The motion under the square boundary is also studied. Further research is needed to fully understand the mechanics of these systems and to find a generalized global mode. Physics-guided Data-driven Modeling to Understand Complex Phenomena and to Solve Real-world Problems Supervisor: ZHANG, Rui / PHYS Co-supervisor: LI, Sai Ping / PHYS Student: ZHU, Xiaohang / SSCI Course: UROP1000, Summer In this report, I explore the correlations of exchange rate volatility in the global foreign exchange market from complex network graphics. Using network science knowledge and python coding, I calculate and visualize the correlation matrix of the currencies and plot the Minimal Spanning Tree graph and Planar maximally Filtered Graph. The results show the relationship between the currencies. The importance of USD, JPY and GBP is clearly showed. Also, SGD and KRW gain a bigger influence in the global exchange market. Meanwhile, CNY and HKD have a regional influence on the exchange market. Further research on adding more currencies should be conducted.

RkJQdWJsaXNoZXIy NDk5Njg=