CU14: Statistical Physics and Complex Models
Course Summary
This course provides a deep understanding of statistical physics and complex models, exploring equilibrium and non-equilibrium systems, phase transitions, network models, stochastic processes, and their applications in physics, economics, and sociology. Students will engage in the formulation and computational simulation of mathematical models to interpret emergent phenomena in multi-agent systems, acquiring the skills to apply statistical and computational methods to analyze collective phenomena across diverse contexts.Course Highlights
- Statistical Physics and Multi-particle Systems in Equilibrium
- Phase Transitions and Symmetry Breaking (Ising Model)
- Non-equilibrium Phenomena and Self-organized Criticality
- Networks, Percolation Theory, and Epidemic Models
- Stochastic Processes: Brownian Motion, Rare Events, Lévy Flights
- Econophysics: Financial Scaling Laws and Agent-based Models
- Sociophysics: Rationality, Herd Behavior, and Evolutionary Games
- Practical Modeling and Computational Simulations