Ising model#
The 2D ferromagnetic Ising model: Gibbs’s canonical ensemble summed exactly, the Metropolis algorithm, Onsager’s exactly solved second-order phase transition, and the Swendsen-Wang and Wolff cluster algorithms.
The Wolff cluster algorithm: beating critical slowing down
The Wolff cluster algorithm: beating critical slowing down
Finite-size scaling: extracting critical exponents
Finite-size scaling: extracting critical exponents
Gibbs’s canonical ensemble: response from fluctuations
Gibbs's canonical ensemble: response from fluctuations
Onsager’s exact solution: the 2D Ising phase transition
Onsager's exact solution: the 2D Ising phase transition
The Metropolis algorithm: sampling Boltzmann without the partition function
The Metropolis algorithm: sampling Boltzmann without the partition function
The Swendsen-Wang algorithm: flipping every Fortuin-Kasteleyn cluster at once
The Swendsen-Wang algorithm: flipping every Fortuin-Kasteleyn cluster at once