Dynamics of far-from-equilibrium chemical systems : microscopic and mesoscopic approaches

摘要: Many nonlinear systems under non-equilibrium conditions are highly sensitive to internal fluctuations. In this dissertation, stochastic effects in some generic reaction-diffusion models studied using two approaches of different precision. the mesoscopic approach, evolution system is governed by master equation, which can be solved numerically or used set up kinetic Monte Carlo simulations. On microscopic level, particle computer simulations used. These compared with deterministic, macroscopic equations.In Introduction, key information about presented, together basics and a presentation numerical algorithms used.The first part Results chapter devoted studies on reaction-induced perturbation velocity distributions bistability wave front propagation. A equation including presented simulations.The second deals pattern formation context developmental biology. method for simulating Turing patternsat level direct simulation algorithm developed. Then, experiments consisting perturbing segmentation vertebrate embryo’s bodyaxis explained mechanism. Finally, possible mechanism body axis segmentation, “clock wavefront” model, formulated as model.