论文标题

3D Athermal Martensites的部分平衡场景在一阶过渡温度以下淬灭

Partial Equilibration Scenario in 3D athermal martensites quenched below first-order transition temperatures

论文作者

Shankaraiah, N., Murthy, K. P. N., Shenoy, S. R.

论文摘要

为了测试Ritort及其同事的部分平衡方案(PES),我们对离散化 - 晶体自旋模型进行了蒙特卡洛模拟,用于在淬火下进行四个3D Martensitic结构过渡到沐浴温度$ t <t_0 $以下的一阶转换。老化系统在{\ it搜索}中面临熵屏障,以在准微型能量壳之间寻找低能的段落。我们证实了间歇性热量在浴缸中的指数尾分布的PES签名,并在有效温度下缩放,在我们的情况下,这取决于淬火。当它的倒数$β_{eff}(t)\ equiv 1/t_ {eff}(t)$在``马丁石开始''温度下消失了$ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $ t_1 $。当此搜索温度$ t_ {eff}(t)$消失时,随着熵屏障的分歧,PES冷却被捕。我们发现{\ it linear}消失的$ t_ {eff}(t)\ sim t_d -t $,低于延迟差温度$ t_d $之间,$ t_1 <t_1 <t_d <t_0 $。 Martensitic转换延迟$ e^{1/t_ {eff}} \ sim e^{1/(t_d-t)} $,因此具有vogel-fulcher-tammann喜欢divergences。从模拟和无脑膜合金中提取的季后延迟数据都与预测一致。

To test a Partial Equilibration Scenario (PES) of Ritort and colleagues, we do Monte Carlo simulations of discretized-strain spin models, for four 3D martensitic structural transitions under quenches to a bath temperature $T <T_0$ below a first-order transition. The ageing system faces entropy barriers, in {\it searches} for energy-lowering passages between quasi-microcanonical energy shells. We confirm the PES signature of an exponential-tail distribution of intermittent heat releases to the bath, scaled in an effective temperature, that in our case, depends on the quench. When its inverse $β_{eff} (T) \equiv 1/T_{eff} (T) $ vanishes below a `martensite start' temperature $T_1$ of avalanche conversions, then entropy barriers vanish. When this search temperature $T_{eff} (T)$ vanishes, PES cooling is arrested, as entropy barriers diverge. We find a {\it linear} vanishing of $T_{eff}(T)\sim T_d -T$, below a delay-divergence temperature $T_d$ in between, $T_1 < T_d < T_0$. Martensitic conversion delays $e^{1/T_{eff}} \sim e^{1/(T_d -T)}$ thus have Vogel-Fulcher-Tammann like divergences. Post-quench delay data extracted from simulations and athermal martensitic alloys, are both consistent with predictions.

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