Renormalized field theory of critical dynamics
Renormalized field theory of critical dynamics
复制标题
临界动力学的重正化场论
DOI：
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发表时间：
1976
期刊：
影响因子：
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通讯作者：
H. Wagner
中科院分区：
文献类型：
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作者：
R. Bausch;H. Janssen;H. Wagner
我们对由 Langevin 或 Fokker-Planck 方程（包括模式耦合项）描述的随机模型的临界动力学制定了 Gell'Mann-Low 型重整化群方法。动态相关性和响应函数用路径积分表示，并通过重整化扰动理论的众所周知的方法进行研究。导出了动态标度定律以及静态和动态临界指数之间的关系。相关函数和响应函数的主要温度依赖性是通过 Kadanoff-Wilson 短距离展开获得的。我们还考虑了由于有限晶格常数而导致的动态缩放的校正。
We formulate a Gell'Mann-Low-type renormalization group approach to the critical dynamics of stochastic models described by Langevin or Fokker-Planck equations including mode-coupling terms.Dynamical correlation and response functions are expressed in terms of path integrals, which are investigated by well-known methods of renormalized perturbation theory.Dynamical scaling laws and relations between static and dynamic critical exponents are derived. The leading temperature-dependence of correlation and response functions is obtained from the Kadanoff-Wilson short-distance expansion. We also consider corrections to dynamic scaling which are due to a finite lattice constant.