Exact dynamical exponent at the Kardar-Parisi-Zhang roughening transition.

Exact dynamical exponent at the Kardar-Parisi-Zhang roughening transition.
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Kardar-Parisi-Zhang 粗糙化转变处的精确动力学指数。

DOI:
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发表时间:
1992
期刊:
影响因子:
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通讯作者:
Kosterlitz Jm
Kosterlitz Jm
中科院分区:
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文献类型:
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作者:
Doty Ca;Kosterlitz Jm

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我们使用kardar - paris - zhang (KPZ)方程映射到随机介质中定向聚合物的平衡模型,以获得KPZ粗化转变时的动态指数zc的精确值。我们的论证不依赖于摄动理论,并预测z c =2的值应该是超普遍的,只要热波动在定向聚合物模型中相应的平衡临界点相关
We use a mapping of the Kardar-Parisi-Zhang (KPZ) equation for interfacial growth to the equilibrium model of a directed polymer in a random medium to obtain the exact value of the dynamical exponent z c at the KPZ roughening transition. Our argument does not rely on perturbation theory and predicts that the value z c =2 should be superuniversal, whenever thermal fluctuations are relevant at the corresponding equilibrium critical point in the directed polymer model