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Near-equilibrium dynamics of the random field Ising model

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This research aims to explore the relaxation dynamics of the random field Ising model using irreversible thermodynamics.
A uniform external field is applied briefly and then switched off to observe relaxation dynamics.
The mean-field phase diagram is obtained through Landau free energy expansion and numerical evaluations.
Critical and tricritical exponents and amplitudes are determined to assess the system's critical behavior.
The temperature variance of the relaxation time exhibits singularity near second-order and tricritical points, confirming critical slowing down phenomena.
Relaxation time shows finite and discontinuous jumps indicating abrupt structural shifts at discontinuous phase transitions.
A rise in critical amplitude signifies a flattened free-energy landscape, enhancing sensitivity to quenched disorder.

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Randomized trial examines relaxation dynamics of the random field Ising model, indicating critical behavior and structural shifts.

Gülpınar et al. (2026) studied this question.

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