Stochastic spatial coagulation particle processes (C08)

在反应/凝固颗粒的系统中出现多个数、长度和速率尺度。从随机微观模型出发，我们得出宏观行为的变分描述，捕捉尺度的相互作用，并在可能的情况下揭示一致的热力学模型。为了做到这一点，我们使用大偏差原理和伽玛收敛技术。激励问题包括简化活细胞模拟方法的渐近推导（时空主方程）和飓风形成过程中对流塔出现的空间模型。

Multiple number, length and rate scales arise in systems of reacting/coagulating particles. Starting from stochastic microscopic models we derive variational descriptions of the macroscopic behaviour that capture the interplay of the scales and, where possible, reveal a consistent thermodynamic model. To do this we use large deviation principles and Gamma convergence techniques. Motivating problems include an asymptotic derivation of simplified living cell simulation methods (spatial temporal master equations) and a spatial model for the emergence of convective towers during hurricane formation.