研究了下列椭圆方程组的混合边值问题:δ2△u=2u(V+g1(u)△α1),δ2△w=w(-V+g2(w2)-α2),-λ2△V=u2-w2-C,u=u0,w=w0,V=V0 on ΓD,u/ν=w/ν=V/ν=0 on ΓN.这里u0,w0,V0∈H1(Ω)∩L∞(Ω),u0,w0≥0 in Ω,ν是ΓN上的单...研究了下列椭圆方程组的混合边值问题:δ2△u=2u(V+g1(u)△α1),δ2△w=w(-V+g2(w2)-α2),-λ2△V=u2-w2-C,u=u0,w=w0,V=V0 on ΓD,u/ν=w/ν=V/ν=0 on ΓN.这里u0,w0,V0∈H1(Ω)∩L∞(Ω),u0,w0≥0 in Ω,ν是ΓN上的单位外法向量.证明了方程组解的存在性和唯一性.展开更多
采用线性化自旋量子流体动力学模型(Spin quantum hydrodynamic model SQHD)与Poisson方程相结合,研究了在外加磁场的作用下,电子自旋效应对带电粒子与双层二维电子气平面相互作用的影响。在适当的边界条件下,推导出两个平面内感应电子...采用线性化自旋量子流体动力学模型(Spin quantum hydrodynamic model SQHD)与Poisson方程相结合,研究了在外加磁场的作用下,电子自旋效应对带电粒子与双层二维电子气平面相互作用的影响。在适当的边界条件下,推导出两个平面内感应电子气密度、空间感应电势和感应电场对入射粒子的阻止力的一般表达式。结果表明,自旋效应对电子气密度分布和阻止力随速度变化均有一定的影响。在入射粒子附近,磁场使自旋向上的电子气密度振荡加强,而对自旋向下的电子气密度振荡起到抑制作用。由于两个电子气平面的相互耦合作用,阻止力随速度变化曲线出现了明显的双峰结构,随着入射磁场振幅和波数的增大,在速度较高的区域,无论电子自旋向上或向下,曲线均出现了明显的振荡衰减情况。展开更多
This pilot study was to assess the high temperature and zero baryon density region of quantum chromodynamics(QCD) phase diagram with thermal photon emission,where the nature of QCD phase transition is ambiguous.Based ...This pilot study was to assess the high temperature and zero baryon density region of quantum chromodynamics(QCD) phase diagram with thermal photon emission,where the nature of QCD phase transition is ambiguous.Based on a(3+1)-D ideal hydrodynamical model to describe macroscopically the collision system,thermal photons emitted from Pb+Pb collisions at 2.76 TeV are investigated.The result reveals that photons from heavy ion collisions at high energy and centrality are possible to distinguish the structure of the hot dense matter,in QGP phase or hadronic phase,thus may provide an approach to explore the nature of this finite-temperature QCD transition(that is,first-order,second-order or analytic crossover).展开更多
文摘研究了下列椭圆方程组的混合边值问题:δ2△u=2u(V+g1(u)△α1),δ2△w=w(-V+g2(w2)-α2),-λ2△V=u2-w2-C,u=u0,w=w0,V=V0 on ΓD,u/ν=w/ν=V/ν=0 on ΓN.这里u0,w0,V0∈H1(Ω)∩L∞(Ω),u0,w0≥0 in Ω,ν是ΓN上的单位外法向量.证明了方程组解的存在性和唯一性.
文摘采用线性化自旋量子流体动力学模型(Spin quantum hydrodynamic model SQHD)与Poisson方程相结合,研究了在外加磁场的作用下,电子自旋效应对带电粒子与双层二维电子气平面相互作用的影响。在适当的边界条件下,推导出两个平面内感应电子气密度、空间感应电势和感应电场对入射粒子的阻止力的一般表达式。结果表明,自旋效应对电子气密度分布和阻止力随速度变化均有一定的影响。在入射粒子附近,磁场使自旋向上的电子气密度振荡加强,而对自旋向下的电子气密度振荡起到抑制作用。由于两个电子气平面的相互耦合作用,阻止力随速度变化曲线出现了明显的双峰结构,随着入射磁场振幅和波数的增大,在速度较高的区域,无论电子自旋向上或向下,曲线均出现了明显的振荡衰减情况。
基金Supported by National Natural Science Foundation of China(NSFC) projects (No.11275081)Program for New Century Excellent Talents in University(NCET)
文摘This pilot study was to assess the high temperature and zero baryon density region of quantum chromodynamics(QCD) phase diagram with thermal photon emission,where the nature of QCD phase transition is ambiguous.Based on a(3+1)-D ideal hydrodynamical model to describe macroscopically the collision system,thermal photons emitted from Pb+Pb collisions at 2.76 TeV are investigated.The result reveals that photons from heavy ion collisions at high energy and centrality are possible to distinguish the structure of the hot dense matter,in QGP phase or hadronic phase,thus may provide an approach to explore the nature of this finite-temperature QCD transition(that is,first-order,second-order or analytic crossover).
