This paper reports on generation of electric power using Spin Hydrodynamics (SHD) and its impact on magneto hydrodynamics (MHD). The targeted system uses saltwater as conducting fluid in a channel that is equipped wit...This paper reports on generation of electric power using Spin Hydrodynamics (SHD) and its impact on magneto hydrodynamics (MHD). The targeted system uses saltwater as conducting fluid in a channel that is equipped with high energy permanent magnets in that the direction of magnetic field is perpendicular to that of the working fluid. By measuring the induced voltage caused by turbulent motion of conducting fluid (with and without magnetic field) the relationship between the SHD and MHD has been investigated. This system has been further simulated and experimentally verified to validate the claims.展开更多
Based on the Wigner function in local equilibrium, we derive hydrodynamical quantities for a system of polarized spin-1/2 particles: the particle number current density, the energy-momentum tensor, the spin tensor, an...Based on the Wigner function in local equilibrium, we derive hydrodynamical quantities for a system of polarized spin-1/2 particles: the particle number current density, the energy-momentum tensor, the spin tensor, and the dipole moment tensor. Compared with ideal hydrodynamics without spin, additional terms at the first and second orders in the Knudsen number Κ_(n) and the average spin polarization Χ_(s) have been derived. The Wigner function can be expressed in terms of matrix-valued distributions, whose equilibrium forms are characterized by thermodynamical parameters in quantum statistics. The equations of motion for these parameters are derived by conservation laws at the leading and next-to-leading order Κ_(n) and Χ_(s).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
文摘This paper reports on generation of electric power using Spin Hydrodynamics (SHD) and its impact on magneto hydrodynamics (MHD). The targeted system uses saltwater as conducting fluid in a channel that is equipped with high energy permanent magnets in that the direction of magnetic field is perpendicular to that of the working fluid. By measuring the induced voltage caused by turbulent motion of conducting fluid (with and without magnetic field) the relationship between the SHD and MHD has been investigated. This system has been further simulated and experimentally verified to validate the claims.
基金Supported by the National Natural Science Foundation of China (Grant Nos. 11890713, 11890710, 11947301, 11935007, 11221504,11861131009, 11890714, 11890710, and 12047528)the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No. XDB34030102)。
文摘Based on the Wigner function in local equilibrium, we derive hydrodynamical quantities for a system of polarized spin-1/2 particles: the particle number current density, the energy-momentum tensor, the spin tensor, and the dipole moment tensor. Compared with ideal hydrodynamics without spin, additional terms at the first and second orders in the Knudsen number Κ_(n) and the average spin polarization Χ_(s) have been derived. The Wigner function can be expressed in terms of matrix-valued distributions, whose equilibrium forms are characterized by thermodynamical parameters in quantum statistics. The equations of motion for these parameters are derived by conservation laws at the leading and next-to-leading order Κ_(n) and Χ_(s).
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。
