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Here we detail the code necessary for the implementation of the analytic time-dependent solution of the mean-field Ising model. One can show using this code that the solution is correct compared to Monte-Carlo simulation, and can assess the mean-field approximation used against nearest neighbor interactions.

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Ising

IsingModel module created to simulate the Ising model via Glauber or SSA, and produce ensemble simulations and statistics of Ising model processes in time. We have also implemented an exact solution for the mean field Ising model based on the method of [1]. For advice on package usage please refer to How-to-Ising.ipynb for the simulations and How-to-Analytic-Ising.ipynb for the analytic method.

Any comments/issues please contact james.holehouse@ed.ac.uk or jamesholehouse1@gmail.com.

[1] Smith, Stephen, and Vahid Shahrezaei. "General transient solution of the one-step master equation in one dimension." Physical Review E 91.6 (2015): 062119.

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Here we detail the code necessary for the implementation of the analytic time-dependent solution of the mean-field Ising model. One can show using this code that the solution is correct compared to Monte-Carlo simulation, and can assess the mean-field approximation used against nearest neighbor interactions.

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