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The Canonical Ensemble
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Phys 5870: Modern Computational
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Exercise 10.4: The Metropolis
Monte Carlo Simulation
Subsections
The Canonical Ensemble
The Metropolis algorithm
Exercise 13.1: Classical gas in 1D
The Ising model
Boundary conditions
Physical quantities
Exercise: One-dimensional Ising model
Simulation of the 2D Ising model
The heat capacity
The magnetic susceptibility
Metropolis algorithm
Boundary conditions
Initial conditions and equilibration
Tricks
Exercise 13.3: Equilibration of the 2D Ising model
Measuring observables
Exercise 13.4: The correlation time
Exercise 13.5: Comparison with exact results
The Ising phase transition
Exercise 13.6: Qualitative behavior of the 2D Ising model
Exercise 13.7: Critical slowing down
Adrian E. Feiguin 2009-11-04