This paper is devoted to studying the stability of transonic shock solutions to the Euler-Poisson system in a one-dimensional nozzle of finite length.The background charge in the Poisson equation is a piecewise consta...This paper is devoted to studying the stability of transonic shock solutions to the Euler-Poisson system in a one-dimensional nozzle of finite length.The background charge in the Poisson equation is a piecewise constant function.The structural stability of the steady transonic shock solution is obtained by the monotonicity argument.Furthermore,this transonic shock is proved to be dynamically and exponentially stable with respect to small perturbations of the initial data.One of the crucial ingredients of the analysis is to establish the global well-posedness of a free boundary problem for a quasilinear second order equation with nonlinear boundary conditions.展开更多
Charge-dependent correlations from both background and charge separation contribute to experimental observables in heavy-ion collisions.In this paper,we use stochastic hydrodynamics to study background charge asymmetr...Charge-dependent correlations from both background and charge separation contribute to experimental observables in heavy-ion collisions.In this paper,we use stochastic hydrodynamics to study background charge asymmetry due to fluctuations.Using the rapidity-dependent correlation and a simple ansatz for particle distributions,we find a fluctuation-induced correlation to provide a type of background F-correlation.Experimental data for Au+Au collisions at(sNN)1/2=200 GeV are compared.We also make predictions for F-correlations in isobar collisions.Combining this with our previous chiral magnetic effect results,we obtainδ-correlations for collisions in the three types of system.Computations from our model show an almost identical background with less than 2%difference for isobars,but roughly 10%difference for their charge separations.In combination with our earlier works,we provide a consistent method of calculating both the chiral magnetic effect and the charged background in the context of stochastic hydrodynamics.展开更多
基金supported by the National Natural Science Foundation of China(11871134,12171166)the Fundamental Research Funds for the Central Universities(DUT23LAB303)。
文摘This paper is devoted to studying the stability of transonic shock solutions to the Euler-Poisson system in a one-dimensional nozzle of finite length.The background charge in the Poisson equation is a piecewise constant function.The structural stability of the steady transonic shock solution is obtained by the monotonicity argument.Furthermore,this transonic shock is proved to be dynamically and exponentially stable with respect to small perturbations of the initial data.One of the crucial ingredients of the analysis is to establish the global well-posedness of a free boundary problem for a quasilinear second order equation with nonlinear boundary conditions.
文摘Charge-dependent correlations from both background and charge separation contribute to experimental observables in heavy-ion collisions.In this paper,we use stochastic hydrodynamics to study background charge asymmetry due to fluctuations.Using the rapidity-dependent correlation and a simple ansatz for particle distributions,we find a fluctuation-induced correlation to provide a type of background F-correlation.Experimental data for Au+Au collisions at(sNN)1/2=200 GeV are compared.We also make predictions for F-correlations in isobar collisions.Combining this with our previous chiral magnetic effect results,we obtainδ-correlations for collisions in the three types of system.Computations from our model show an almost identical background with less than 2%difference for isobars,but roughly 10%difference for their charge separations.In combination with our earlier works,we provide a consistent method of calculating both the chiral magnetic effect and the charged background in the context of stochastic hydrodynamics.
