逃逸概率、平均停留时间与地球物理流体粒子动力学
Escape Probability, Mean Residence Time and Geophysical Fluid Particle Dynamics
AI总结：
针对随机扰动下的准地转蜿蜒射流模型，利用逃逸概率和平均停留时间量化不同特征运动流态间的流体输运。
摘要：
随机动力系统作为具有随机速度场的地球物理流动中流体粒子运动的模型而出现。逃逸概率（从流体域中）和平均停留时间（在流体域中）量化了不同特征运动流态之间的流体输运。我们考虑一个具有随机扰动的准地转蜿蜒射流模型。该射流由参数 $β= (2Ω)/r \cos (θ)$ 参数化，其中 $Ω$ 是地球自转速率，$r$ 是地球半径，$θ$ 是纬度。注意 $Ω$ 和 $r$ 是固定的，因此 $β$ 是纬度的单调递减函数。未受扰动的射流（对于 $0 < β< 2/3$）由具有附着涡旋的基本流组成。在随机扰动下，不同特征运动流态之间存在流体交换。我们通过逃逸概率和平均停留时间来量化这种交换。
英文摘要：
Stochastic dynamical systems arise as models for fluid particle motion in geophysical flows with random velocity fields. Escape probability (from a fluid domain) and mean residence time (in a fluid domain) quantify fluid transport between flow regimes of different characteristic motion. We consider a quasigeostrophic meandering jet model with random perturbations. This jet is parameterized by the parameter $β= (2Ω)/r \cos (θ)$, where $Ω$ is the rotation rate of the earth, $r$ the earth's radius and $θ$ the latitude. Note that $Ω$ and $r$ are fixed, so $β$ is a monotonic decreasing function of the latitude. The unperturbed jet (for $0 < β< 2/3$) consists of a basic flow with attached eddies. With random perturbations, there is fluid exchange between regimes of different characteristic motion. We quantify the exchange by escape probability and mean residence time.
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