Diffusion models trained on Monte Carlo Ising configurations reproduce energy, magnetization, and general fluctuation trends across the phase transition, with a distorted critical exponent and low-temperature specific heat; GANs need physics-informed loss terms to partially match.
For the critical temperature of T*=2.3 and ergodic regime of T*=2.6, the distributions of the MC (Fig
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Thermodynamic Fidelity of Generative Models for Ising System
Diffusion models trained on Monte Carlo Ising configurations reproduce energy, magnetization, and general fluctuation trends across the phase transition, with a distorted critical exponent and low-temperature specific heat; GANs need physics-informed loss terms to partially match.