二维Hamilton流的随机扰动
Random Perturbations of 2-dimensional Hamiltonian Flows
摘要：
我们考虑在小（分子）扩散扰动下的周期性二维流动中的粒子运动。该流动由无发散的零均值向量场产生。长时间行为对应于均匀化过程的行为-即具有恒定扩散矩阵（有效扩散率）的扩散过程。当分子扩散趋于零时，我们得到了有效扩散系数的渐近性。
英文摘要：
We consider the motion of a particle in a periodic two dimensional flow perturbed by small (molecular) diffusion. The flow is generated by a divergence free zero mean vector field. The long time behavior corresponds to the behavior of the homogenized process - that is diffusion process with the constant diffusion matrix (effective diffusivity). We obtain the asymptotics of the effective diffusivity when the molecular diffusion tends to zero.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
