hot Dense topic (WDM) occupies a loosely outlined sector of part area intermediate among strong, liquid, fuel, and plasma, and customarily stocks features of 2 or extra of those levels. WDM is mostly linked to the combo of strongly coupled ions and reasonably degenerate electrons, and cautious consciousness to quantum physics and digital constitution is key. the shortcoming of a small perturbation parameter enormously limits approximate makes an attempt at its exact description. on the grounds that WDM is living on the intersection of good kingdom and excessive power density physics, many excessive power density physics (HEDP) experiments go through this hard area of section area. therefore, knowing and modeling WDM is essential to the luck of experiments on assorted amenities. those comprise the nationwide Ignition crusade situated at the nationwide Ignition Facility (NIF), pulsed-power pushed experiments at the Z computer, ion-beam-driven WDM experiments at the NDCX-II, and primary WDM examine on the Linear Coherent mild resource (LCLS). hot Dense subject can be ubiquitous in planetary technology and astrophysics, quite with admire to unresolved questions about the constitution and age of the fuel giants, the character of exosolar planets, and the cosmochronology of white dwarf stars. during this e-book we discover proven and promising ways to the modeling of WDM, foundational matters in regards to the right theoretical description of WDM, and the hard useful problems with numerically modeling strongly coupled structures with many levels of freedom.