Simulating Glauber dynamics for the Ising model

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• “Top” copy all spin up, +1.

A coupled dynamics

• “Bottom” copy all spin down, -1.

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• “Top” copy all spin up, +1. A coupled dynamics • “Bottom” copy all spin down, -1.

Greedy coupled dynamics • Pick a lattice site, v, at random. • Calculate probability for spin sv to be +1 in the top, ptop. • Calculate probability for spin sv to be +1 in the bottom, pbot.

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 and 14: Implementing the Glauber dynamics
Page 15: Issues • Critical slowing down (c
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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