非微扰重整化群方法对 Kardar-Parisi-Zhang 方程的研究。
Nonperturbative renormalization group for the Kardar-Parisi-Zhang equation.
机构信息
LPMMC, CNRS UMR 5493, Université Joseph Fourier, 38042 Grenoble, France.
出版信息
Phys Rev Lett. 2010 Apr 16;104(15):150601. doi: 10.1103/PhysRevLett.104.150601. Epub 2010 Apr 14.
Abstract
We present a simple approximation of the nonperturbative renormalization group designed for the Kardar-Parisi-Zhang equation and show that it yields the correct phase diagram, including the strong-coupling phase with reasonable scaling exponent values in physical dimensions. We find indications of a possible qualitative change of behavior around d=4. We discuss how our approach can be systematically improved.
摘要
我们提出了一种针对 Kardar-Parisi-Zhang 方程的简单非微扰重整化群近似，并展示了它如何给出正确的相图，包括在物理维度中具有合理标度指数值的强耦合相。我们发现了在 d=4 附近可能存在行为定性变化的迹象。我们讨论了如何系统地改进我们的方法。
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