论文标题
基于粒子随机反应扩散模型的波动分析
Fluctuation analysis for particle-based stochastic reaction-diffusion models
论文作者
论文摘要
最近的作品已经得出并证明了几类基于粒子的随机反应扩散（PBSRD）模型的大型均衡场限制。这些限制对应于概括标准质量表演反应扩散PDE模型的部分积分分化方程（PIDE）的系统。在这项工作中，我们得出并证明了下一个秩序波动校正到此类限制，我们显示出令人满意的随机旋转系统，并带有高斯噪声。提供了数值示例，以说明包括波动校正在内的如何能够准确估算基础PBSRD模型的高阶统计数据。
Recent works have derived and proven the large-population mean-field limit for several classes of particle-based stochastic reaction-diffusion (PBSRD) models. These limits correspond to systems of partial integral-differential equations (PIDEs) that generalize standard mass-action reaction-diffusion PDE models. In this work we derive and prove the next order fluctuation corrections to such limits, which we show satisfy systems of stochastic PIDEs with Gaussian noise. Numerical examples are presented to illustrate how including the fluctuation corrections can enable the accurate estimation of higher order statistics of the underlying PBSRD model.
