Glassy behaviour and semi-local invariance in Ising model with four-spin interaction

Glassy behaviour and semi-local invariance in Ising model with four-spin interaction
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DOI:
10.1088/0305-4470/30/21/012
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发表时间:
1997-11-07
期刊:
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
影响因子:
--
通讯作者:
Lipowski, A
Lipowski, A
中科院分区:
其他
文献类型:
--
作者:
Lipowski, A

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我们表明,具有四旋链相互作用的3D ISING模型的快速淬灭的高温相位,其能量与低温相相比,在缓慢冷却时可以到达玻璃相。将动力学在玻璃相中捕获动力学的机制是激发能量的形状依赖性的结果。该模型中的半局部不变性通过(足够强的)热波动到局部仪表不变性提升。
We show that the rapidly quenched high-temperature phase of the 3D Ising model, with four-spin interaction, evolves into the glassy phase with higher energy than in the low-temperature phase which can be reached upon slow cooling. The mechanism which traps the dynamics in the glassy phase is a consequence of a shape dependence of the energy of excitations. The semi-local invariance in this model is lifted by (sufficiently strong) thermal fluctuations to the local gauge invariance.