Ericson formula represents the first formula, which was suggested to describe the partial level density (PLD) formula in pre-equilibrium region of the nuclear reactions. Then a number of corrections were added to this...Ericson formula represents the first formula, which was suggested to describe the partial level density (PLD) formula in pre-equilibrium region of the nuclear reactions. Then a number of corrections were added to this formula in order to make it more suitable to physical meaning. In this paper, there are two aims to be done: the first aim is to study the correspondence between one and two-components formulae in Ericson, Pauli, and pairing corrections;the second aim is to compare and study the results of Comprehensive formula, which contents with all corrections, with Ericson, Pauli, and pairing formulae. The Comprehensive formula was suggested to simulate the reality. To achieve these aims the 56Fe and 90Zr nuclei were chosen and the results showed that the difference between one and two-components formulae was too small which can be neglected. Furthermore, the results strongly recommended that for cross section calculations of the nuclear reaction, one must use Comprehensive formula rather than Pauli formula.展开更多
This article is concerned with a system of semilinear parabolic equations with no-flux boundary condition in a mutualistic ecological model. Stability result of the equilibrium about relevant ODE problem is proved by ...This article is concerned with a system of semilinear parabolic equations with no-flux boundary condition in a mutualistic ecological model. Stability result of the equilibrium about relevant ODE problem is proved by discussing its Jacobian matrix, we give two priori estimates and prove that the model is permanent when ε1 ＋ε2≠ 0. Moreover sufficient conditions for the global asymptotical stability of the unique positive equilibrium of the model are obtained. Nonexistence of nonconstant positive steady states of the model is also given. When ε1 ＋ε2 = 0, grow up property is derived if the geometric mean of the interaction coefficients is greater than I （a1a2 〉 1）, while if the geometric mean of the interaction coefficients is less than I （a1a2 〈 1）, there exists a global solution. Finally, numerical simulations are given.展开更多
A non-equilibrium plasma decomposition reaction kinetics model of gaseous pollutant was developed.The reaction rate constants of various pollutants were obtained by substituting the decomposition experimental data rep...A non-equilibrium plasma decomposition reaction kinetics model of gaseous pollutant was developed.The reaction rate constants of various pollutants were obtained by substituting the decomposition experimental data reported from literature into the model equation.The result showed that under different conditions of discharge mode,electrode structure,and operation parameters,the decomposition reaction rate constants were almost unchanged for the same pollutant,which proved that the model had wide applicability and was independent of the discharge mode and reactor structure.The reaction rate constants of pollutants could be classified according to their molecular structure.Then the relationship between reaction rate constant and the dissociation energy of the easiest dissociating chemical bond(EDCB) in pollutant molecule was discussed.It was found that the reaction rate constants of pollutants with lower dissociation energy of EDCB were larger than those of pollutants with a steady structure and higher dissociation energy of EDCB.For example,sulfide,amine,alkene and substituted alkene had much larger reaction rate constants(about 10-2 m3·W-1·h-1) than aromatics,alkane and substituted alkane(10-4—10-3 m3·W-1·h-1).展开更多
文摘Ericson formula represents the first formula, which was suggested to describe the partial level density (PLD) formula in pre-equilibrium region of the nuclear reactions. Then a number of corrections were added to this formula in order to make it more suitable to physical meaning. In this paper, there are two aims to be done: the first aim is to study the correspondence between one and two-components formulae in Ericson, Pauli, and pairing corrections;the second aim is to compare and study the results of Comprehensive formula, which contents with all corrections, with Ericson, Pauli, and pairing formulae. The Comprehensive formula was suggested to simulate the reality. To achieve these aims the 56Fe and 90Zr nuclei were chosen and the results showed that the difference between one and two-components formulae was too small which can be neglected. Furthermore, the results strongly recommended that for cross section calculations of the nuclear reaction, one must use Comprehensive formula rather than Pauli formula.
基金supported by the NSFC Grant(No.11171158)Project of Graduate Education Innovation of Jiangsu Province(No.KYLX 0719)Project of Natural Science Research of Higher Education Institutions of Jiangsu Province(No.15KJB110008)
文摘This article is concerned with a system of semilinear parabolic equations with no-flux boundary condition in a mutualistic ecological model. Stability result of the equilibrium about relevant ODE problem is proved by discussing its Jacobian matrix, we give two priori estimates and prove that the model is permanent when ε1 ＋ε2≠ 0. Moreover sufficient conditions for the global asymptotical stability of the unique positive equilibrium of the model are obtained. Nonexistence of nonconstant positive steady states of the model is also given. When ε1 ＋ε2 = 0, grow up property is derived if the geometric mean of the interaction coefficients is greater than I （a1a2 〉 1）, while if the geometric mean of the interaction coefficients is less than I （a1a2 〈 1）, there exists a global solution. Finally, numerical simulations are given.
文摘A non-equilibrium plasma decomposition reaction kinetics model of gaseous pollutant was developed.The reaction rate constants of various pollutants were obtained by substituting the decomposition experimental data reported from literature into the model equation.The result showed that under different conditions of discharge mode,electrode structure,and operation parameters,the decomposition reaction rate constants were almost unchanged for the same pollutant,which proved that the model had wide applicability and was independent of the discharge mode and reactor structure.The reaction rate constants of pollutants could be classified according to their molecular structure.Then the relationship between reaction rate constant and the dissociation energy of the easiest dissociating chemical bond(EDCB) in pollutant molecule was discussed.It was found that the reaction rate constants of pollutants with lower dissociation energy of EDCB were larger than those of pollutants with a steady structure and higher dissociation energy of EDCB.For example,sulfide,amine,alkene and substituted alkene had much larger reaction rate constants(about 10-2 m3·W-1·h-1) than aromatics,alkane and substituted alkane(10-4—10-3 m3·W-1·h-1).
