Physics 4480 / 7680 / Astronomy 7690

Welcome to Computational Physics

Introduction

• Introduction
• Notebook Workflow
• Logistics
• Installing Julia

Quadratures -- Period of a Pendulum

• Period of a Pendulum
• Lab – Period of a Pendulum
• Introduction
• Midpoint Rule
• Change of Variables
• Wrap-up
• Integration Follow-up
• Working with files and notebooks at the same time
• Line Integrals
• Higher dimensional integrals

Solving Ordinary Differential Equations

• Dynamics
• LAB – Projectile Motion
• Automatic Differentiation

Advanced Classical Mechanics

• Symmetry Constraints
• LAB – Chaos
• Followup on Duffing Oscillator
• Interactive Animation of Pendulum
• Lab – Animating the Duffing Oscillator
• Exploring Chaos with our Duffing Simulator

Dynamical Systems without differential equations

• Billiards
• LAB – Interacting Hard Spheres
• Kinetic Theory of Gases

Stochastic Methods

• Stochastic Methods
• Stochastic approaches to integration
• 2D Ising Model
• Correlation times
• Cluster Algorithms
• Lab – Wolff Algorithm
• Phases and Phase Transitions
• Binder Cumulants and the Scaling Hypothesis
• The Renormalization group
• Critical Exponents