Laboratoire de Physique Théorique de la Matière Condensée, UPMC, CNRS UMR 7600, Sorbonne Universités, 4 place Jussieu, 75252 Paris Cedex 05, France.
Phys Rev E. 2017 Jan;95(1-1):012107. doi: 10.1103/PhysRevE.95.012107. Epub 2017 Jan 5.
We derive the necessary conditions for implementing a regulator that depends on both momentum and frequency in the nonperturbative renormalization-group flow equations of out-of-equilibrium statistical systems. We consider model A as a benchmark and compute its dynamical critical exponent z. This allows us to show that frequency regulators compatible with causality and the fluctuation-dissipation theorem can be devised. We show that when the principle of minimal sensitivity (PMS) is employed to optimize the critical exponents η, ν, and z, the use of frequency regulators becomes necessary to make the PMS a self-consistent criterion.
我们从非平衡统计系统的无微扰重整化群流方程中推导出实现依赖于动量和频率的调节器的必要条件。我们以模型 A 作为基准来计算其动力学临界指数 z。这使我们能够表明，可以设计出与因果关系和涨落耗散定理兼容的频率调节器。我们表明，当采用最小敏感原理（PMS）来优化临界指数 η、ν 和 z 时，为了使 PMS 成为一个自洽的准则，使用频率调节器是必要的。
