AI 中文总结
该研究提出了海浪飞沫的随机模型，基于散粒噪声过程，结合液滴轨迹等假设推导了总质量的统计特性，还通过含物理效应的示例估算海洋边界层高度。
AI 中文摘要
我们提出了一个海浪飞沫的随机模型，将其作为附着于齐次泊松过程的散粒噪声过程，该过程的强度测度为海浪飞沫生成函数，即单位面积、单位时间内喷射到大气中的给定半径液滴的平均数量。我们假设定义散粒噪声的脉冲响应函数由球形液滴中心的轨迹决定，该液滴的半径可随时间变化；同时假设液滴轨迹为垂直方向，且液滴之间无相互作用。在这些假设下，我们证明了空气中海浪飞沫液滴的总质量是一个平稳随机过程，其均值和协方差可明确表示为物理参数的函数。我们通过物理相关性逐步增强的示例说明该模型，其中最通用的示例包含重力、斯托克斯阻力以及朗缪尔的D平方蒸发定律。该特定示例的一个推论是，在足够大的风速下可估算海洋边界层的高度。
英文摘要
We propose a stochastic model of sea spray as a shot noise process attached to a homogeneous Poisson process whose intensity measure is the sea spray generation function, that is to say the average number of droplets of a given radius ejected into the atmosphere per unit area per unit time. We assume the impulse response function defining the shot noise is determined by the trajectory of the center of a spherical droplet whose radius may change with time. We also assume the droplet trajectory is vertical and droplets don't interact with one another. Under these assumptions we show the total mass of airborne sea spray droplets is a stationary stochastic process whose mean and covariance can be written explicitly as functions of the physical parameters. We illustrate the model through examples of increasing physical relevance the most general of which includes gravity, Stokes drag forces, and Langmuir's D-squared law of evaporation. A consequence of this particular example is an estimate of the height of the marine boundary layer at sufficiently large wind speeds.
