Based on the radio light curves in 22 GHz and 37 GHz from the Metsahovi monitoring program and the optical light curves in BVRI bands from previously published results and the"Whole Earth Blazar Telescope"(W...Based on the radio light curves in 22 GHz and 37 GHz from the Metsahovi monitoring program and the optical light curves in BVRI bands from previously published results and the"Whole Earth Blazar Telescope"(WEBT)archives,we analyze the time delay among 22 GHz,37 GHz and optical bands(B,V,R,I)of BL Lacertae by means of discrete correlation method.The results suggest there exist strong correlation among 22 GHz,37 GHz and optical bands(B,V,R,I)with zero-lag.The 37 GHz lags behind R band by 11 months.The correlation of brightness and color index among BVRI bands,brightness and spectral index between 37GHz and 22 GHz are also investigated.The results show a clear trend of bluer-when-brighter.展开更多
A new self-condensing vinyl polymerization system consisting of *ABf-type inimers is studied by the principle of statistical mechanics. To obtain the relevant average properties of the system, a differential equation ...A new self-condensing vinyl polymerization system consisting of *ABf-type inimers is studied by the principle of statistical mechanics. To obtain the relevant average properties of the system, a differential equation satisfied by the polymeric moment of interest is given, and as a result the zeroth, first, second, and third polymeric moments together with the size distribution function of hyperbranched polymers(HBPs) are explicitly presented. As an application of the method of statistical mechanics, several thermodynamic quantities such as the equilibrium free energy, law of mass action, isothermal compressibility, internal energy, and the specific heat associated with the polymerization are all derived. Furthermore, the scaling behavior of asymptotic size distribution function is discussed, by which a reasonable interpretation of the polydispersity index near the end of polymerization can be made. Also, the expressions of some structural parameters such as the numbers of inimers, terminal units, chain units, branched units, and the degree of branching(DB) are calculated. It is found that a high functionality is helpful to improve the DB of the resultant HBPs. These results show that the functionality f has a significant effect on the thermodynamic quantities and structural properties of HBPs.展开更多
基金supported by the LangFang Teacher’s College Research Programme of China(Grant No.LSZQ201103)LangFang Municipal Science and Technology Research and Development Program of China(Grant No.2012011002)Colleges and Universities in Hebei Province Science and Technology Research Project(Grant No.Z2013065)
文摘Based on the radio light curves in 22 GHz and 37 GHz from the Metsahovi monitoring program and the optical light curves in BVRI bands from previously published results and the"Whole Earth Blazar Telescope"(WEBT)archives,we analyze the time delay among 22 GHz,37 GHz and optical bands(B,V,R,I)of BL Lacertae by means of discrete correlation method.The results suggest there exist strong correlation among 22 GHz,37 GHz and optical bands(B,V,R,I)with zero-lag.The 37 GHz lags behind R band by 11 months.The correlation of brightness and color index among BVRI bands,brightness and spectral index between 37GHz and 22 GHz are also investigated.The results show a clear trend of bluer-when-brighter.
基金supported by the National Natural Science Foundation of China(21274056,21374028)Natural Science Foundation of Hebei province(B2015408007)the doctoral funds of Langfang Teachers University(LSBS201308)
文摘A new self-condensing vinyl polymerization system consisting of *ABf-type inimers is studied by the principle of statistical mechanics. To obtain the relevant average properties of the system, a differential equation satisfied by the polymeric moment of interest is given, and as a result the zeroth, first, second, and third polymeric moments together with the size distribution function of hyperbranched polymers(HBPs) are explicitly presented. As an application of the method of statistical mechanics, several thermodynamic quantities such as the equilibrium free energy, law of mass action, isothermal compressibility, internal energy, and the specific heat associated with the polymerization are all derived. Furthermore, the scaling behavior of asymptotic size distribution function is discussed, by which a reasonable interpretation of the polydispersity index near the end of polymerization can be made. Also, the expressions of some structural parameters such as the numbers of inimers, terminal units, chain units, branched units, and the degree of branching(DB) are calculated. It is found that a high functionality is helpful to improve the DB of the resultant HBPs. These results show that the functionality f has a significant effect on the thermodynamic quantities and structural properties of HBPs.
