Simulating Glauber dynamics for the Ising model

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The coupled system

Growth of coupling with time.

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The coupled system Growth of coupling with time.

Online Resources Ising model simulation: • http://stp.clarku.edu/simulations/ising2d/ • http://bartok.ucsc.edu/peter/java/ising/keep/ising.html Cluster-flip dynamics: • http://www.hermetic.ch/compsci/thesis/chap1.htm

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 and 16: Issues • Critical slowing down (c
Page 17 and 18: Greedy coupled dynamics • Pick a
Page 19: Dynamics • Generate a random numb

Simulating Glauber dynamics for the Ising model

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