Ising Model Phase Transition Explorer

Critical Phenomena and Order-Disorder Transition

Phase Transition at Critical Temperature

At T_c ≈ 2.269 J/k_B, the 2D Ising model undergoes a continuous phase transition from ferromagnetic order to paramagnetic disorder. Near T_c, the system exhibits critical behavior with diverging correlation length and susceptibility.

Wolff Algorithm: Cluster update method for faster equilibration near critical point.

Spin Lattice Configuration

Initializing...

Temperature (T): 1.00 J/k_B

Lattice Size: 100 × 100

Update Algorithm:

Magnetization

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Susceptibility

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Heat Capacity

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Steps

Ising Model Phase Transition Explorer

Phase Transition at Critical Temperature

Spin Lattice Configuration

Magnetization vs Temperature

Susceptibility vs Temperature

Heat Capacity vs Temperature