Within the model, a definition of novel saturation and dilution degree is presented. A novel expression of equilibrium constant is derived by including interactions between components to reversible processes running b...Within the model, a definition of novel saturation and dilution degree is presented. A novel expression of equilibrium constant is derived by including interactions between components to reversible processes running between the components particles under a dynamic equilibrium. For partition equilibria, three types of basic processes are proposed and corresponding partition isotherms were derived. The isotherms are applied to the components partition between two phases for main heterogenous systems types. For construction and prediction ternary phase diagrams, a new method, the Component Binding by Saturation Model （CBSM） method, is proposed. Applying the partition isotherms derived, new extraction, evaporation and adsorption isotherms are expressed. Directly, or after an approximation, from the new adsorption isotherms, well-known adsorption isotherms are obtained.展开更多
Recently,Riess et al.[1]reported the new result of local measurement of the Hubble constant,H_0=(73.00±1.75)km s^(-1) Mpc^(-1),which is 3.3σhigher than the fit result of ocal measurement of the Hubble constant, ...Recently,Riess et al.[1]reported the new result of local measurement of the Hubble constant,H_0=(73.00±1.75)km s^(-1) Mpc^(-1),which is 3.3σhigher than the fit result of ocal measurement of the Hubble constant, H_0 = (73.00 ± 1.75) km s^(-1) Mpc^(-1), which is 3.3σ higher than the fit result of (66.93±0.62) km s^(-1) Mpc^(-1) derived by the Planck collaboration based on theΛCDM model withmν=0.06 e V using the latest Planck CMB data.The tension between the latest H0measurement and the Planck data has inspired numerous discussions.On one hand,it might be caused by some systematic uncertainties in the measurements.On the other hand,perhaps one has omitted some unknown physical factors in the cosmological model,which leads to some inconsistencies among different data sets.For example,replacing the cosmological constant with a dynamical dark energy[2]and considering the extra relativistic degrees of freedom(i.e.,an additional parameter Neff)[1,3,4]both can help relieve this tension to some extent.It was also shown in ref.[4]that the involvement of light sterile neutrinos in the cosmological model can simultaneously relieve almost all the tensions among the current astrophysical observations,which leads to a new cosmic concordance.展开更多
The max-min approach is applied to mathematical models of some nonlinear oscillations.The models are regarding to three different forms that are governed by nonlinear ordinary differential equations.In this context,th...The max-min approach is applied to mathematical models of some nonlinear oscillations.The models are regarding to three different forms that are governed by nonlinear ordinary differential equations.In this context,the strongly nonlinear Duffing oscillator with third,fifth,and seventh powers of the amplitude,the pendulum attached to a rotating rigid frame and the cubic Duffing oscillator with discontinuity are taken into consideration.The obtained results via the approach are compared with ones achieved utilizing other techniques.The results indicate that the approach has a good agreement with other well-known methods.He's max-min approach is a promising technique and can be successfully exerted to a lot of practical engineering and physical problems.展开更多
文摘Within the model, a definition of novel saturation and dilution degree is presented. A novel expression of equilibrium constant is derived by including interactions between components to reversible processes running between the components particles under a dynamic equilibrium. For partition equilibria, three types of basic processes are proposed and corresponding partition isotherms were derived. The isotherms are applied to the components partition between two phases for main heterogenous systems types. For construction and prediction ternary phase diagrams, a new method, the Component Binding by Saturation Model （CBSM） method, is proposed. Applying the partition isotherms derived, new extraction, evaporation and adsorption isotherms are expressed. Directly, or after an approximation, from the new adsorption isotherms, well-known adsorption isotherms are obtained.
基金supported by the National Natural Science Foundation of China (Grant Nos. 11522540, and 11690021)the Top-Notch Young Talents Program of China, and the Provincial Department of Education of Liaoning (Grant No. L2012087)
文摘Recently,Riess et al.[1]reported the new result of local measurement of the Hubble constant,H_0=(73.00±1.75)km s^(-1) Mpc^(-1),which is 3.3σhigher than the fit result of ocal measurement of the Hubble constant, H_0 = (73.00 ± 1.75) km s^(-1) Mpc^(-1), which is 3.3σ higher than the fit result of (66.93±0.62) km s^(-1) Mpc^(-1) derived by the Planck collaboration based on theΛCDM model withmν=0.06 e V using the latest Planck CMB data.The tension between the latest H0measurement and the Planck data has inspired numerous discussions.On one hand,it might be caused by some systematic uncertainties in the measurements.On the other hand,perhaps one has omitted some unknown physical factors in the cosmological model,which leads to some inconsistencies among different data sets.For example,replacing the cosmological constant with a dynamical dark energy[2]and considering the extra relativistic degrees of freedom(i.e.,an additional parameter Neff)[1,3,4]both can help relieve this tension to some extent.It was also shown in ref.[4]that the involvement of light sterile neutrinos in the cosmological model can simultaneously relieve almost all the tensions among the current astrophysical observations,which leads to a new cosmic concordance.
文摘The max-min approach is applied to mathematical models of some nonlinear oscillations.The models are regarding to three different forms that are governed by nonlinear ordinary differential equations.In this context,the strongly nonlinear Duffing oscillator with third,fifth,and seventh powers of the amplitude,the pendulum attached to a rotating rigid frame and the cubic Duffing oscillator with discontinuity are taken into consideration.The obtained results via the approach are compared with ones achieved utilizing other techniques.The results indicate that the approach has a good agreement with other well-known methods.He's max-min approach is a promising technique and can be successfully exerted to a lot of practical engineering and physical problems.
