A Retarded Mean-Field Approach for Interacting Fiber Structures
A Retarded Mean-Field Approach for Interacting Fiber Structures
We consider an interacting system of one-dimensional structures modeling fibers with fiber-fiber interaction in a fiber lay-down process. The resulting microscopic system is investigated by looking at different asymptotic limits of the corresponding stochastic model. Equations arising from mean-field and diffusion limits are considered. Furthermore, numerical methods for the stochastic …