Simulating Glauber dynamics for the Ising model

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Issues

• Critical slowing down (correlation length diverges), and so

does the relaxation time....

• The critical point is the most interesting, yet the hardest to

access and pin down!

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Simulations • High temperature (initial condition irrelevant) • Low temperature (initial condition “quenched”) • Critical temperature (???)

Issues • Critical slowing down (correlation length diverges), and so does the relaxation time.... • The critical point is the most interesting, yet the hardest to access and pin down!

Page 1 and 2: Simulating Glauber dynamics for the
Page 3 and 4: Electron “spins” and magnetizat
Page 5 and 6: Total energy, the “Hamiltonian”
Page 7 and 8: Phase transition in M as function o
Page 9 and 10: Equilibrium • In equilibrium, Bol
Page 11 and 12: Detailed balance P (Si)P (Si → Sj
Page 13: Implementing the Glauber dynamics
Page 17 and 18: Greedy coupled dynamics • Pick a
Page 19 and 20: Dynamics • Generate a random numb
Page 21: Online Resources Ising model simula

Simulating Glauber dynamics for the Ising model

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