## Frontiers and Challenges in Warm Dense MatterFrank Graziani, Michael P. Desjarlais, Ronald Redmer, Samuel B. Trickey Warm Dense Matter (WDM) occupies a loosely defined region of phase space intermediate between solid, liquid, gas, and plasma, and typically shares characteristics of two or more of these phases. WDM is generally associated with the combination of strongly coupled ions and moderately degenerate electrons, and careful attention to quantum physics and electronic structure is essential. The lack of a small perturbation parameter greatly limits approximate attempts at its accurate description. Since WDM resides at the intersection of solid state and high energy density physics, many high energy density physics (HEDP) experiments pass through this difficult region of phase space. Thus, understanding and modeling WDM is key to the success of experiments on diverse facilities. These include the National Ignition Campaign centered on the National Ignition Facility (NIF), pulsed-power driven experiments on the Z machine, ion-beam-driven WDM experiments on the NDCX-II, and fundamental WDM research at the Linear Coherent Light Source (LCLS). Warm Dense Matter is also ubiquitous in planetary science and astrophysics, particularly with respect to unresolved questions concerning the structure and age of the gas giants, the nature of exosolar planets, and the cosmochronology of white dwarf stars. In this book we explore established and promising approaches to the modeling of WDM, foundational issues concerning the correct theoretical description of WDM, and the challenging practical issues of numerically modeling strongly coupled systems with many degrees of freedom. |

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### Contents

1 | |

Thermal Density Functional Theory in Context | 25 |

Innovations in FiniteTemperature Density Functionals | 61 |

NonzeroTemperature HartreeFock and ExactExchange KohnSham Methods | 86 |

Quantum Monte Carlo Techniques and Applications for Warm Dense Matter | 123 |

The Structure of Warm Dense Matter Modeled with an Average Atom Model with IonIon Correlations | 150 |

Dynamical Structure Factor in High Energy Density Plasmas and Application to XRay Thomson Scattering | 177 |

Progress in Warm Dense Matter and Planetary Physics | 203 |

Diffusivity of Mixtures in Warm Dense Matter Regime | 235 |

A Review of Wave Packet Molecular Dynamics | 264 |

Editorial Policy | 283 |

Lecture Notes
in Computational Science
and Engineering | 285 |

Monographs in Computational Scienceand Engineering | 289 |

### Other editions - View all

Frontiers and Challenges in Warm Dense Matter Frank Graziani,Michael P. Desjarlais,Ronald Redmer,Samuel B. Trickey No preview available - 2014 |

Frontiers and Challenges in Warm Dense Matter Frank Graziani,Michael P. Desjarlais,Ronald Redmer,Samuel B. Trickey No preview available - 2016 |

Frontiers and Challenges in Warm Dense Matter Frank Graziani,Michael P. Desjarlais,Ronald Redmer No preview available - 2014 |

### Common terms and phrases

AA model AACTCP model adiabatic approach approximation Astrophys atom band gaps band structure calculations CEIMC Chem coefficient collision computational correlation function Coulomb coupling D.M. Ceperley defined density functional theory density matrix DFT-MD diffusion effects eigenvalues electron density ensemble exact exchange energy exchange potential exchange-correlation exoplanets Fermi finite free energy gradient ground-state Hartree-Fock helium High Energy Density hydrogen initio integral interaction ionization kinetic energy Kohn-Sham Kohn-Sham equation Lett many-body methods mixture molecular dynamics non-interacting nucleus occupation numbers OF-DFT orbitals parameters particle density phase Phys physics planets plasma plasmon problem Redmer S.B. Trickey scaling scattering Schrödinger equation simulations singularity Slater determinant TDDFT temperature theoretical thermal thermodynamic Thomson scattering time-dependent unit cell warm dense matter wave function wave packet wavefunctions WDM regime XC functionals zero-T