Hydrogen and helium are the most abundant elements in the Universe. They are also, in
principle, the most simple. Nonetheless, they display remarkable properties under extreme …

Materials at high pressures and temperatures are of great interest for planetary science and
astrophysics, warm dense-matter physics and inertial confinement fusion research …

Warm dense matter (WDM)—an exotic state of highly compressed matter—has attracted
increased interest in recent years in astrophysics and for dense laboratory systems. At the …

Two or more liquid states may exist even for single-component substances, which is known
as liquid polymorphism, and the transition between them is called liquid–liquid transition …

Hydrogen, the simplest and most abundant element in the Universe, develops a remarkably
complex behaviour upon compression. Since Wigner predicted the dissociation and …

Eighty years ago, it was proposed that solid hydrogen would become metallic at sufficiently
high density. Despite numerous investigations, this transition has not yet been …

This chapter gives an introduction to interacting many-body systems. Interaction effects give
rise to collective behavior, dominated by mean field effects, as well as to correlations. We …

Dense fluid metallic hydrogen occupies the interiors of Jupiter, Saturn, and many extrasolar
planets, where pressures reach millions of atmospheres. Planetary structure models must …

We determine basic thermodynamic and transport properties of hydrogen–helium–water
mixtures for the extreme conditions along Jupiter's adiabat via ab initio simulations, which …

Using first-principles molecular dynamics, we study the influence of nuclear quantum effects
(NQEs) and nonlocal exchange-correlation density functionals (DFs) near molecular …