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arXiv · 2111.04290

Understanding glass-like Vogel-Fulcher-Tammann equilibration times: microcanonical effective temperatures in quenched 3D martensites

N. Shankaraiah·K. P. N. Murthy·S. R. Shenoy
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Abstract

We do Monte Carlo simulations of four 3D structural transitions, with vector-spin models of their martensitic strain domains under quenches to $T$, to test a generic post-quench Partial Equilibration Scenario (PES) of Ritort. We indeed confirm that energy-lowering passages between fixed-energy shells induce a signature PES distribution of an exponential tail in heat releases, scaled in an effective search temperature. A linear vanishing of this $T_{eff}(T)\sim T_d -T$ at a temperature $T_d$ where PES passage-searches freeze, explains the Vogel-Fulcher like divergence of equilibration times $ e^{1/ T_{eff} (T)}\sim e^{1/(T_d -T)}$, extracted from incubation-time delays of simulations and martensitic alloys.

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N. Shankaraiah, K. P. N. Murthy, S. R. Shenoy. 2021-11-08. Understanding glass-like Vogel-Fulcher-Tammann equilibration times: microcanonical effective temperatures in quenched 3D martensites. https://arxiv.org/abs/2111.04290

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