Stochastic spatial coagulation particle processes (C08)

• Subject Area: Mathematics
• Term: from 2014 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 235221301

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.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1114: Scaling Cascades in Complex Systems
• Applicant Institution: Freie Universität Berlin
• Project Heads: Professor Dr. Wolfgang König, until 6/2018; Dr. Robert Patterson