We study the global pressure of a one-dimensional polydisperse granular gases system for the first time, in which the size distribution of particles has the fractal characteristic and the inhomogeneity is described by...We study the global pressure of a one-dimensional polydisperse granular gases system for the first time, in which the size distribution of particles has the fractal characteristic and the inhomogeneity is described by a fractal dimension D. The particles are driven by Gaussian white noise and subject to inelastic mutual collisions. We define the global pressure P of the system as the impulse transferred across a surface in a unit of time, which has two contributions, one from the translational motion of particles and the other from the collisions. Explicit expression for the global pressure in the steady state is derived. By molecular dynamics simulations, we investigate how the inelasticity of collisions and the inhomogeneity of the particles influence the global pressure. The simulation results indicate that the restitution coefficient e and the fractal dimension D have significant effect on the pressure.展开更多
In this paper methods of differential inequalities and Liapunov functionals for proving the global stability of constant equilibria of reaction-diffusion systems are given, and examples for showing how to use these me...In this paper methods of differential inequalities and Liapunov functionals for proving the global stability of constant equilibria of reaction-diffusion systems are given, and examples for showing how to use these methods are also given.展开更多
Since New Public Management theory,which seeks to promote public management reform with the techniques used to catalyze economic development,was introduced into the field of education,it has led to the implementation ...Since New Public Management theory,which seeks to promote public management reform with the techniques used to catalyze economic development,was introduced into the field of education,it has led to the implementation of education accountability measures and reforms focusing on performance-related pay for teachers.Performance-related pay was meant to improve teacher performance,and has played an important role in providing teachers with incentives and raising educational quality.In practice,however,problems have emerged that deserve serious attention.For example,the evaluation indicators based on this theory have distorted the direction of public management due to their over-emphasis on instrumental rationality and neglect of value rationality.Further,they highlight the interim goal of"instilling knowledge"at the cost of the fundamental aim of"cultivating talent,"thus producing results opposite to those intended.On the basis of the value rationality of education and China’s reality,this paper suggests that educational institutions should shift from"New Public Management"to a"holistic and decentralized governance"approach,fostering an environment dedicated to cultivating talent and introducing this feature intothe evaluation of teacher performance.The core socialist values need to be integrated into teacher policy and internalized by teachers as their emotional identity and customary behavior.展开更多
基金The project supported by National Natural Science Foundation of China under Grant Nos. 10675048 and 10604017 and Natural Science Foundation of Xianning College under Grant No. KZ0627
文摘We study the global pressure of a one-dimensional polydisperse granular gases system for the first time, in which the size distribution of particles has the fractal characteristic and the inhomogeneity is described by a fractal dimension D. The particles are driven by Gaussian white noise and subject to inelastic mutual collisions. We define the global pressure P of the system as the impulse transferred across a surface in a unit of time, which has two contributions, one from the translational motion of particles and the other from the collisions. Explicit expression for the global pressure in the steady state is derived. By molecular dynamics simulations, we investigate how the inelasticity of collisions and the inhomogeneity of the particles influence the global pressure. The simulation results indicate that the restitution coefficient e and the fractal dimension D have significant effect on the pressure.
基金This research is supportedby the National Natural Science Foundation of China(No. 19971004 and19331043).
文摘In this paper methods of differential inequalities and Liapunov functionals for proving the global stability of constant equilibria of reaction-diffusion systems are given, and examples for showing how to use these methods are also given.
基金a mid-term outcome of a 2011 Major Research Project of the Ministry of Education,headed by the author
文摘Since New Public Management theory,which seeks to promote public management reform with the techniques used to catalyze economic development,was introduced into the field of education,it has led to the implementation of education accountability measures and reforms focusing on performance-related pay for teachers.Performance-related pay was meant to improve teacher performance,and has played an important role in providing teachers with incentives and raising educational quality.In practice,however,problems have emerged that deserve serious attention.For example,the evaluation indicators based on this theory have distorted the direction of public management due to their over-emphasis on instrumental rationality and neglect of value rationality.Further,they highlight the interim goal of"instilling knowledge"at the cost of the fundamental aim of"cultivating talent,"thus producing results opposite to those intended.On the basis of the value rationality of education and China’s reality,this paper suggests that educational institutions should shift from"New Public Management"to a"holistic and decentralized governance"approach,fostering an environment dedicated to cultivating talent and introducing this feature intothe evaluation of teacher performance.The core socialist values need to be integrated into teacher policy and internalized by teachers as their emotional identity and customary behavior.
