Analysis of Energy Processes in Inertial Confinement Fusion Plasmas Based on Quantum Simulations

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1.Plasmas produced in the process of inertial confinement fusion are mixtures of classical ions and at least half-degenerate electrons. The difficulty in simulating these plasmas comes mainly from the behavior of electrons described by wave functions with continuous degrees of freedom of space. It is also essential to take into account interactions between electrons and between electrons and ions. With the state-of-the-art computational resources, we are forced to limit ourselves within the analysis on rather small systems of particles.2.Smaller but not negligible difficulty also stems from motions of ions. In the process of inertial confinement fusion, the coupling between ions is intermediate and, even if they are not strongly coupled, the effect of ion-ion interaction in such regime plays important roles in many aspects including energy transport. In order to perform reliable simulations on the mixture of ions and electrons, it is indispensable to have efficient algorisms for simulating ions with smallest possible system size.3.Based on the above considerations, we have worked mainly on two important aspects of quantum simulation of plasmas in this research project :(1)We have developed useful methods to simulate extended ion systems coupled to electron liquid with finite smaller systems by introducing deformable periodic boundary conditions under given temperature and pressure.(2)For the analysis of electronic states, we have developed a numerical system based on the finite element method with inclusion of many-body interactions through the density functional approach.(3)We have also developed efficient methods to simulate the time development of electrons on the basis of the Taylor expansion of time-propelling operator of many-body wave function in the density functional theory.