Large Scale Structure and Dynamics of Non-Equilibrium Systems

PI提出了对空间扩展非平衡系统的大尺度和慢动力学的理论研究。本文将研究两类模型系统：离散混沌元或振子的一维和二维晶格，其动力学保持守恒量或具有内部对称性；2. 二维流体流动。数值模拟，蒙特卡罗方法，平均场理论和重整化群方法将被使用。

The PI proposes a theoretical study of the large scale and slow dynamics of spatially extended non-equilibrium systems. Two classes of model systems will be investigated: 1. one and two dimensional lattices of discrete chaotic elements or oscillators with dynamics preserving a conserved quantity or having an internal symmetry; 2. two dimensional fluid flow. Numerical simulation, Monte Carlo methods, mean field theory, and renormalization group methods will be used.