Stochastics
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Simulated Annealing
1 min
Numerical Analysis
Stochastics
Simulation
Similar to the Ising Model, Simulated Annealing takes a step implements a similar cost function to that of the Ising Hamiltonian. Once again, the probability of accepting a less-efficient state follows the Maxwell-Boltzmann distribution.
Ising model
2 mins
Numerical Analysis
Statistical Mechanics
Stochastics
Simulation
The Metropolis-Hastings algorithm for simulating the Lenz-Ising model is an excellent example of a Markov chain, since the former is actually a version of a Markov chain Monte Carlo (MCMC) simulation.