Large Scale Structure and Dynamics of Non-Equilibrium Systems

PI提出了对空间扩展的非平衡系统的大尺度和慢动力学的理论研究。将研究两类模型系统：1.具有保持守恒量或具有内部对称性的动力学的离散混沌元件或振子的一维和二维格子；2.二维流体流动。将使用数值模拟、蒙特卡罗方法、平均场理论和重整化群方法。

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.