Lectures in course PHYS-403: Computer simulation of physical systems I

Computer Simulation of Physical Systems

Introduces a course on computer simulation of physical systems, emphasizing online resources and project-based examination.

Computer Simulation of Physical Systems

Covers the program, organization, and exam options of a course on computer simulation of physical systems.

Computer Simulation of Physical Systems

Explores computer simulation of physical systems, covering topics like differential equations, molecular dynamics, and Monte Carlo integration.

Ordinary Differential Equations: Methods and Applications

Explores ordinary differential equations and numerical integration methods for stability and accuracy.

Ordinary Differential Equations: Methods and Accuracy

Introduces methods for solving ordinary differential equations and discusses their accuracy and limitations.

Predictor-Corrector Method: Harmonic Oscillator

Explores the Predictor-Corrector method for the harmonic oscillator and Runga-Kutta method in differential equations.

Classical Molecular Dynamics: Simulation and Integration Algorithms

Explores classical molecular dynamics simulations, integration algorithms, and trajectory accuracy.

Ordinary Differential Equations: Methods and Stability

Explores predictor-corrector and Runge-Kutta methods for solving ODEs, highlighting stability considerations in numerical solutions.

Integration Algorithms for Molecular Dynamics

Explores various Verlet algorithms for molecular dynamics simulations, emphasizing accuracy and efficiency.

Classical Molecular Dynamics: Simulation Setup

Explores classical molecular dynamics and simulation setup with variables and interactions.

Verlet and Gear Algorithms

Discusses the Verlet and Gear algorithms for harmonic oscillators, emphasizing stability and performance evaluation.

Integration Algorithms for Molecular Dynamics: Verlet Algorithm

Explores integration algorithms for Molecular Dynamics, emphasizing the Verlet algorithm and its variants.

Accuracy and Stability: Algorithms Performance

Discusses accuracy and stability in computational algorithms, focusing on the Verlet and Gear algorithms and comparing their performance.

Molecular Dynamics: Liquid Argon Simulation

Covers the molecular dynamics simulation of liquid argon using Lennard-Jones potential and focuses on equilibration and velocity distribution at equilibrium.

Molecular Dynamics: Lennard-Jones Liquid

Explores the molecular dynamics simulation of a Lennard-Jones liquid and its equilibrium velocity distribution.

Diffusion Coefficient and Pair Correlation Function

Explains diffusion coefficient, pair correlation function, and their properties.

Diffusion Coefficient: Einstein's Relation

Explores the diffusion coefficient and its relation to mean square displacement.

Pair Correlation Function: Definition and Calculation

Explores the pair correlation function, its calculation method, and relation with the structure factor.

Velocity Autocorrelation & Diffusion Coefficient

Explains the velocity-velocity autocorrelation function and the Green-Kubo formula for diffusion coefficient.

Diffusion and Dynamics

Explores diffusion coefficient, Einstein's relation, and velocity-velocity autocorrelation in dynamic systems.