We propose a monomer birth-death model with random removals, in which an aggregate of size k can produce a new monomer at a time-dependent rate I（t）k or lose one monomer at a rate J（t）k, and with a probability P（...We propose a monomer birth-death model with random removals, in which an aggregate of size k can produce a new monomer at a time-dependent rate I（t）k or lose one monomer at a rate J（t）k, and with a probability P（t） an aggregate of any size is randomly removed. We then anedytically investigate the kinetic evolution of the model by means of the rate equation. The results show that the scaling behavior of the aggregate size distribution is dependent crucially on the net birth rate I（t） - J（t） as well as the birth rate I（t）. The aggregate size distribution can approach a standard or modified scaling form in some cases, but it may take a scale-free form in other cases. Moreover, the species can survive finally only if either I（t） - J（t） ≥ P（t） or [J（t） ＋ P（t） - I（t）]t ≈ 0 at t ≥ 1; otherwise, it will become extinct.展开更多
Nitrogen oxides(NOx) from flue gas can be removed efficiently by activated carbon continuously irradiated by microwave,which,however,needs high temperature and consumes excessive carbon. If catalyst is added into acti...Nitrogen oxides(NOx) from flue gas can be removed efficiently by activated carbon continuously irradiated by microwave,which,however,needs high temperature and consumes excessive carbon. If catalyst is added into activated carbon,then reaction temperature can be reduced and selectivity of reaction enhanced. The effects on flue gas denitrification by adding different catalysts to microwave reactor were studied in this paper. It was found that the addition of catalyst could reduce the microwave power required by the same removal efficiency obviously;the difference of removal efficiency was different due to different catalysts,and the Cu-based catalyst has more catalytic action efficiency. Reaction temperature decreased by about 200℃ and removal efficiency increased by 25% after adding Cu-based catalyst. In addition,characteristic analysis for activated carbon conducted by X-ray diffraction confirmed that active component of catalyst existed on the surface of activated carbon.展开更多
By means of the theory of Postnikov resolution, a sufficient condition for the existence of a kind of bundle maps is obtained. Some applications of the result are given. Particularly, it is proven that the deleted pro...By means of the theory of Postnikov resolution, a sufficient condition for the existence of a kind of bundle maps is obtained. Some applications of the result are given. Particularly, it is proven that the deleted products as well as configuration spaces of two simply connected manifolds with suitable dimension have the same homotopy type when the original manifolds are homotopically equivalent.展开更多
基金supported by National Natural Science Foundation of China under Grant Nos. 10775104 and 10305009
文摘We propose a monomer birth-death model with random removals, in which an aggregate of size k can produce a new monomer at a time-dependent rate I（t）k or lose one monomer at a rate J（t）k, and with a probability P（t） an aggregate of any size is randomly removed. We then anedytically investigate the kinetic evolution of the model by means of the rate equation. The results show that the scaling behavior of the aggregate size distribution is dependent crucially on the net birth rate I（t） - J（t） as well as the birth rate I（t）. The aggregate size distribution can approach a standard or modified scaling form in some cases, but it may take a scale-free form in other cases. Moreover, the species can survive finally only if either I（t） - J（t） ≥ P（t） or [J（t） ＋ P（t） - I（t）]t ≈ 0 at t ≥ 1; otherwise, it will become extinct.
基金supported by the National Natural Science Foundation of China (Grant No.50976035)
文摘Nitrogen oxides(NOx) from flue gas can be removed efficiently by activated carbon continuously irradiated by microwave,which,however,needs high temperature and consumes excessive carbon. If catalyst is added into activated carbon,then reaction temperature can be reduced and selectivity of reaction enhanced. The effects on flue gas denitrification by adding different catalysts to microwave reactor were studied in this paper. It was found that the addition of catalyst could reduce the microwave power required by the same removal efficiency obviously;the difference of removal efficiency was different due to different catalysts,and the Cu-based catalyst has more catalytic action efficiency. Reaction temperature decreased by about 200℃ and removal efficiency increased by 25% after adding Cu-based catalyst. In addition,characteristic analysis for activated carbon conducted by X-ray diffraction confirmed that active component of catalyst existed on the surface of activated carbon.
文摘By means of the theory of Postnikov resolution, a sufficient condition for the existence of a kind of bundle maps is obtained. Some applications of the result are given. Particularly, it is proven that the deleted products as well as configuration spaces of two simply connected manifolds with suitable dimension have the same homotopy type when the original manifolds are homotopically equivalent.
