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A Partition Function Approximation Using Elementary Symmetric Functions

Figure 5

Calculated values for the 128×128 2D Ising system.

(a) Thermal average magnetization , (b) internal energy and (c) heat capacity , as a function of dimensionless temperature for the 128×128 2D Ising system, as calculated by the direct interaction algorithm (DIA), the Metropolis Monte Carlo (MC) method, and the exact solution. The number of steps for the MC method was chosen such that the MC computation time is at least 10 times the computation time for the DIA. Connecting lines are shown to guide the eye.

Figure 5