EFFECTIVE DYNAMICS OF A COUPLED MICROSCOPIC-MACROSCOPIC STOCHASTIC SYSTEM

A conceptual model for microscopic-macroscopic slow-fast stochastic systems is considered. A dynamical reduction procedure is presented in order to extract effective dynamics for this kind of systems. Under appropriate assumptions, the effective system is shown to approximate the original system, in the sense of a probabilistic convergence.     

聚合物泡孔材料为模板的溶胶－凝胶法制备大孔结构二氧化钛陶瓷

Macroporous titania monoliths were prepared via sol-gel method using polymer foam as templates.The poly-mer foam polymerized via concentrated emulsion polymerization was immerged in a solution of titanium(IV)iso-propoxide in 2-propanol,which underwent a sol-gel process.The organic components were subsequently removedby calcination.The effects of various parameters,including the nature of the monomer,the volume fraction of dis-persed phase of the concentrated emulsion,and concentration of the sol-gel solution were investigated.The SEMmicrographs of the macroporous titania monoliths thus obtained showed that the porous structure of the final mate-rial was effectively controllable.