Kinetic Studies Of Quantum Effect On The Collective Excitations Of Warm Dense Matter

Warm dense matter exists in inertial confinement fusion and the evolution of celestial bodies,and contains rich physical content.The state of warm dense matter is between solid and ideal plasma,the particle number density is between 1022-1027/cm3,and the temperature is around 100eV.High temperature and high pressure conditions will lead to the emergence of free electrons in warm dense matter which do not exist in solid-state systems at room temperature,thereby characterizing special microscopic quantum properties,such as quantum diffraction effects,exchange-correlation effects,and energy bands structure.The microscopic quantum properties will have an important impact on the macroscopic collective effects of warm-dense systems.The study of macroscopic large-scale transport problems is helpful to understand physical processes such as fast ignition and heavy-ion-beam targeting,and to understand the energy transmission under special conditions.It is also helpful to understand the internal structure and physical properties of special celestial bodies such as neutron stars,and to understand the evolution of the universe.The characteristics of partial degeneracy,strong coupling and partial ionization determine the difficulty of establishing a theoretical model of warm dense matter,which cannot be accurately described by either classical ideal plasma theory or lowtemperature solid theory.For the simplified model of warm dense matter—the quantum plasma model,we summarized the differences between the quantum kinetic theory and quantum hydrodynamics,and illustrated that the kinetic effect cannot be ignored in the range of warm dense parameters.On this basis,we proved the first principle of the density-functional kinetic theory,and derived the density-functional kinetic equation.We introduced the finite-temperature exchange-correlation effects into the kinetic model,and found that the exchange-correlation effects significantly affect the group velocities of electrostatic waves within the warm-dense parameters.After that,we further introduced the electromagnetic effect into the kinetic model based on the time-dependent-current-density-functional theory,and found that in different dimensions,the exchange-correlation effects have completely different effects on the Weibel instability.The density-functional kinetic model we established can effectively deal with the quantum diffraction effects and the exchange correlation effects in the dense system,and can be extended to the finite-temperature range.Compared with other simulation methods such as time-dependent-densityfunctional theory and quantum Monte Carlo method,it directly focuses on the research of large-scale transport physics and effectively reduces the computational cost.