The hybrid slip model used to generate a finite fault model for near-field ground motion estimation and seismic hazard assessment was improved to express the uncertainty of the source form of a future earthquake.In th...The hybrid slip model used to generate a finite fault model for near-field ground motion estimation and seismic hazard assessment was improved to express the uncertainty of the source form of a future earthquake.In this process, source parameters were treated as normal random variables, and the Fortran code of hybrid slip model was modified by adding a random number generator so that the code could generate many finite fault models with different dimensions and slip distributions for a given magnitude.Furth...展开更多
The Effects of pressure stress work and viscous dissipation in mixed convection flow along a vertical fiat plate have been investigated. The results are obtained by transforming the governing system of boundary layer ...The Effects of pressure stress work and viscous dissipation in mixed convection flow along a vertical fiat plate have been investigated. The results are obtained by transforming the governing system of boundary layer equations into a system of non-dimensional equations and by applying implicit finite difference method together with Newton＇s linearization approximation. Numerical results for different values of pressure stress work parameter, viscous dissipation parameter and Prandtl number have been obtained. The velocity profiles, temperature distributions, skin friction co-efficient and the rate of heat transfer have been presented graphically for the effects of the aforementioned parameters.展开更多
Given a real-valued separable M-type 2 Banach space X with the p-th power of the norm of C2-class, the almost sure asymptotic upper bounds of the solutions of the Ornstein-Uhlenbeck Processes described by the followin...Given a real-valued separable M-type 2 Banach space X with the p-th power of the norm of C2-class, the almost sure asymptotic upper bounds of the solutions of the Ornstein-Uhlenbeck Processes described by the following equations {dz（t）=A（t,z（t））dt＋σ（t,z（t））dW（t）,z（0）=z0∈X,are investigated. This study generalizes the corresponding well-known finite dimensional results of Lapeyre （1989） and Mao （1992）.展开更多
A simple algebraic approach to exact solutions of the hard-core Fermi-Hubbard model is proposed. Excitation energies and the corresponding wavefunctions of the hard-core Fermi-Hubbard model with nearest neighbor hoppi...A simple algebraic approach to exact solutions of the hard-core Fermi-Hubbard model is proposed. Excitation energies and the corresponding wavefunctions of the hard-core Fermi-Hubbard model with nearest neighbor hopping cases in high dimension are obtained by using this method, which manifests that the model is exactly solvable in any dimension.展开更多
The realization of tunable nonlinear optical(NLO)responses in a single nano-/micro-structure is extremely important.However,in lack of effective ways to integrate multiple performances,it still faces severe limitation...The realization of tunable nonlinear optical(NLO)responses in a single nano-/micro-structure is extremely important.However,in lack of effective ways to integrate multiple performances,it still faces severe limitations during applications.Herein,we demonstrate a wavelength-dependent NLO micro-structure based on host-guest metal-organic framework(MOF)materials through encapsulating linear dye molecules into periodic one-dimensional(1D)channels.The confinement to non-centrosymmetric polar dye molecules enhances the second-/third-order NLO responses of the hybrid crystals,causing obvious two-photon luminescence(TPL),second harmonic generation(SHG)and third harmonic generation(THG)responses in the as-prepared composites.The highly ordered structures of MOFs impart spatial regulation on the linear dye molecules to realize orientation alignment,resulting in the polarized anisotropy emission.NIR-to-NIR(NIR,near-infrared region)two-photon pumped lasing is realized with the natural whispering gallery mode resonance cavities of MOFs under the excitation of a 1200-nm fs laser.Furthermore,tunable NLO properties such as TPL,SHG and THG are achieved through switching the incident excitation wavelength from 800 to 1500 nm.Such hybrid materials with tunable NLO responses may open a new avenue toward designing multifunctional NLO devices in the future.展开更多
The author shows that a rank-preserving *-isorporphism between separable C*-algebras with unity is approximately equivalent to the identity representation. Some applications are made for approximately similarity of n-...The author shows that a rank-preserving *-isorporphism between separable C*-algebras with unity is approximately equivalent to the identity representation. Some applications are made for approximately similarity of n-tuples of operators.展开更多
基金Supported by National Natural Science Foundation of China (No. 50778058 and No. 90715038)National Key Technology Research and Development Program of China (No. 2006BAC13B02)Major State Basic Research Development Program of China ("973" Program, No. 2008CB425802)
文摘The hybrid slip model used to generate a finite fault model for near-field ground motion estimation and seismic hazard assessment was improved to express the uncertainty of the source form of a future earthquake.In this process, source parameters were treated as normal random variables, and the Fortran code of hybrid slip model was modified by adding a random number generator so that the code could generate many finite fault models with different dimensions and slip distributions for a given magnitude.Furth...
文摘The Effects of pressure stress work and viscous dissipation in mixed convection flow along a vertical fiat plate have been investigated. The results are obtained by transforming the governing system of boundary layer equations into a system of non-dimensional equations and by applying implicit finite difference method together with Newton＇s linearization approximation. Numerical results for different values of pressure stress work parameter, viscous dissipation parameter and Prandtl number have been obtained. The velocity profiles, temperature distributions, skin friction co-efficient and the rate of heat transfer have been presented graphically for the effects of the aforementioned parameters.
基金the National Natural Science Foundation of China under Grant No.50579022the Foundation of Pre-973 Program of China under Grant No.2004CCA02500+1 种基金the SRF for the ROCS,SEMthe Talent Recruitment Foundation of HUST
文摘Given a real-valued separable M-type 2 Banach space X with the p-th power of the norm of C2-class, the almost sure asymptotic upper bounds of the solutions of the Ornstein-Uhlenbeck Processes described by the following equations {dz（t）=A（t,z（t））dt＋σ（t,z（t））dW（t）,z（0）=z0∈X,are investigated. This study generalizes the corresponding well-known finite dimensional results of Lapeyre （1989） and Mao （1992）.
基金This work was supported by the Key Track-Following Service Foundation of Education Ministry China Science Foundation of Education Commission of Liaoning Province.
文摘A simple algebraic approach to exact solutions of the hard-core Fermi-Hubbard model is proposed. Excitation energies and the corresponding wavefunctions of the hard-core Fermi-Hubbard model with nearest neighbor hopping cases in high dimension are obtained by using this method, which manifests that the model is exactly solvable in any dimension.
基金the National Natural Science Foundation of China(51632008,U1609219 and 61721005)。
文摘The realization of tunable nonlinear optical(NLO)responses in a single nano-/micro-structure is extremely important.However,in lack of effective ways to integrate multiple performances,it still faces severe limitations during applications.Herein,we demonstrate a wavelength-dependent NLO micro-structure based on host-guest metal-organic framework(MOF)materials through encapsulating linear dye molecules into periodic one-dimensional(1D)channels.The confinement to non-centrosymmetric polar dye molecules enhances the second-/third-order NLO responses of the hybrid crystals,causing obvious two-photon luminescence(TPL),second harmonic generation(SHG)and third harmonic generation(THG)responses in the as-prepared composites.The highly ordered structures of MOFs impart spatial regulation on the linear dye molecules to realize orientation alignment,resulting in the polarized anisotropy emission.NIR-to-NIR(NIR,near-infrared region)two-photon pumped lasing is realized with the natural whispering gallery mode resonance cavities of MOFs under the excitation of a 1200-nm fs laser.Furthermore,tunable NLO properties such as TPL,SHG and THG are achieved through switching the incident excitation wavelength from 800 to 1500 nm.Such hybrid materials with tunable NLO responses may open a new avenue toward designing multifunctional NLO devices in the future.
文摘The author shows that a rank-preserving *-isorporphism between separable C*-algebras with unity is approximately equivalent to the identity representation. Some applications are made for approximately similarity of n-tuples of operators.
