Scaling and critical slowing down in random-field Ising systems.
Scaling and critical slowing down in random-field Ising systems.
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随机场伊辛系统中的缩放和临界减速。
DOI：
10.1103/physrevlett.56.416
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发表时间：
1986
影响因子：
8.6
通讯作者：
["D. Fisher
中科院分区：
文献类型：
--
作者：
["D. Fisher
利用零温度临界不动点的重整化群论证，给出了随机场Ising系统中有序跃迁的一个简单标度描述。主要预测是，随着临界点的接近，特征弛豫时间τ将极快地发散：τ ~ exp (ξ θ)， ξ为相关长度，θ为“超尺度破坏”指数(d- θ) ν= 2-α。讨论了最近在很窄的温度范围内出现迟滞现象的实验。
A simple scaling description of the ordering transition in random-field Ising systems is developed and supported by renormalization-group arguments in terms of a zero-temperature critical fixed point. The main prediction is that the characteristic relaxation time τ will diverge extremely rapidly as the critical point is approached: τ∼ exp (ξ theta) with ξ the correlation length and theta the ‘‘violation of hyperscaling’’exponent (d-theta) ν= 2-α. Recent experiments which exhibit onset of hysteresis in a very narrow temperature range are discussed.