The ruthenium oxide(RuO_x) thin film was prepared by using the R.F.sputtering system.The RuO_x pH-sensitive electrode possesses a nearly-Nernstian pH sensitivity(about 57 mV/pH).For the enzyme penicillinase was immobi...The ruthenium oxide(RuO_x) thin film was prepared by using the R.F.sputtering system.The RuO_x pH-sensitive electrode possesses a nearly-Nernstian pH sensitivity(about 57 mV/pH).For the enzyme penicillinase was immobilized directly onto a RuO_x pH-sensitive surface by 3-glycidoxypropyltrimethoxysilane(GPTS).Some characteristics of the biosensor, such as sensitivity,linear range,and drift,are investigated and the difference between penicillinase immobilized and without are compared.According to the time-constant model,we can extract the time constant and amplitude at the response curve of the drift.Subsequently,the extracted parameters were used to simulate the mechanism of the drift behavior.展开更多
In this paper, we study the classical drift-diffusion model arising from the semiconductor device simulation, which is the simplest macroscopic model describing the dynamics of the electron and the hole. We prove the ...In this paper, we study the classical drift-diffusion model arising from the semiconductor device simulation, which is the simplest macroscopic model describing the dynamics of the electron and the hole. We prove the global existence of strong solutions for the initial boundary value problem in the quarter plane. In particular, we show that in large time, these solutions tend to the nonlinear diffusion wave which is different from the steady state, at an algebraic time-decay rate. As far as we know, this is the first result about the nonlinear diffusion wave phenomena of the solutions for the one-dimensional drift-diffusion model in the quarter plane.展开更多
In this study, we consider the one-dimensional bipolar quantum drift-diffusion model, which consists of the coupled nonlinear fourth-order parabolic equation and the electric field equation. We first show the global e...In this study, we consider the one-dimensional bipolar quantum drift-diffusion model, which consists of the coupled nonlinear fourth-order parabolic equation and the electric field equation. We first show the global existence of the strong solution of the initial boundary value problem in the quarter plane. Moreover, we show the self-similarity property of the strong solution of the bipolar quantum drift-diffusion model in the large time. Namely, we show the unique global strong solution with strictly positive density to the initial boundary value problem of the quantum drift-diffusion model, which in large time, tends to have a self-similar wave at an algebraic time-decay rate. We prove them in an energy method.展开更多
文摘The ruthenium oxide(RuO_x) thin film was prepared by using the R.F.sputtering system.The RuO_x pH-sensitive electrode possesses a nearly-Nernstian pH sensitivity(about 57 mV/pH).For the enzyme penicillinase was immobilized directly onto a RuO_x pH-sensitive surface by 3-glycidoxypropyltrimethoxysilane(GPTS).Some characteristics of the biosensor, such as sensitivity,linear range,and drift,are investigated and the difference between penicillinase immobilized and without are compared.According to the time-constant model,we can extract the time constant and amplitude at the response curve of the drift.Subsequently,the extracted parameters were used to simulate the mechanism of the drift behavior.
基金Supported by the National Natural Science Foundation of China(11171223)
文摘In this paper, we study the classical drift-diffusion model arising from the semiconductor device simulation, which is the simplest macroscopic model describing the dynamics of the electron and the hole. We prove the global existence of strong solutions for the initial boundary value problem in the quarter plane. In particular, we show that in large time, these solutions tend to the nonlinear diffusion wave which is different from the steady state, at an algebraic time-decay rate. As far as we know, this is the first result about the nonlinear diffusion wave phenomena of the solutions for the one-dimensional drift-diffusion model in the quarter plane.
基金Supported by the National Natural Science Foundation of China(11671134)
文摘In this study, we consider the one-dimensional bipolar quantum drift-diffusion model, which consists of the coupled nonlinear fourth-order parabolic equation and the electric field equation. We first show the global existence of the strong solution of the initial boundary value problem in the quarter plane. Moreover, we show the self-similarity property of the strong solution of the bipolar quantum drift-diffusion model in the large time. Namely, we show the unique global strong solution with strictly positive density to the initial boundary value problem of the quantum drift-diffusion model, which in large time, tends to have a self-similar wave at an algebraic time-decay rate. We prove them in an energy method.
