Lecture

Monte Carlo Simulations: Photon Gas & LJ Potential

Description

This lecture introduces importance sampling and detailed balance in Monte Carlo simulations, applying the Metropolis Monte Carlo scheme to sample a photon gas and a Lennard-Jones system. The theory covers the challenges of numerical quadrature procedures and the concept of detailed balance. The implementation of the Metropolis algorithm is discussed, ensuring equilibrium distribution and detailed balance. The lecture also includes ensemble averages and the visualization of results through MC trajectory analysis.

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