![]() ![]() Next, a phenomenological Bloch QHD model is introduced with a finite-temperature gradient-corrected Thomas-Fermi equation of state (EOS) derived from Density Functional Theory (DFT), and an equivalence is drawn to Madelung QHD which puts it on a rigorous footing. First, a many-body Madelung QHD model is rigorously derived from first principles, and under certain constraints is shown to reproduce Thomas-Fermi-Dirac theory. The problem is approached with a Quantum Hydrodynamic (QHD) model for a dynamic electron fluid. This thesis consists of three major components: theoretical development computational and algorithmic development and code verification and validation. The purpose of this thesis is to develop a fully dynamical and quantum mechanical simulation capability in WDM motivated specifically by the problem of CP stopping. The study of charged particle (CP) stopping in warm dense matter (WDM) is of great interest in the design of intense laser and ion-beam experiments, and in particular is vital to understanding the early stages of fast alpha heating in inertial confinement fusion (ICF). Quantum Hydrodynamics: Theory and Computation with Applications to Charged Particle Stopping in Warm Dense MatterĪstrophysical Sciences-Plasma Physics Program Department Please use this identifier to cite or link to this item: Princeton University Undergraduate Senior Theses, 1924-2022 Princeton University Masters Theses, 2022-2023 ![]() Princeton University Doctoral Dissertations, 2011-2023 Princeton School of Public and International Affairs Liechtenstein Institute on Self-Determination Lewis-Sigler Institute for Integrative Genomics Department of Slavic Languages and Literatures ![]()
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