论文标题
点涡旋合奏的平均场限制中相关率的衰减
Decay of Correlation Rate in the Mean Field Limit of Point Vortices Ensembles
论文作者
论文摘要
我们考虑了圆环上二维点涡旋的Gibbsian集合的平均场极限。经典的结果是，在这种极限相关性的情况下，函数会收敛到1，即涡流偏置：我们通过高斯集成技术计算这种收敛发生的速率，灵感来自2维库仑气体与Sine-Gordon Eucordon Eucordean Euclidean Field Theorys之间的对应关系。
We consider the Mean Field limit of Gibbsian ensembles of 2-dimensional point vortices on the torus. It is a classical result that in such limit correlations functions converge to 1, that is, point vortices decorrelate: we compute the rate at which this convergence takes place by means of Gaussian integration techniques, inspired by the correspondence between the 2-dimensional Coulomb gas and the Sine-Gordon Euclidean field theory.
