Quantum corrections and bound-state effects in the energy relaxation of hot dense Hydrogen

TL;DR

This paper presents analytic formulas for energy relaxation in hot dense hydrogen, incorporating quantum effects, ion dynamics, and screening, and compares them with recent simulation results.

Contribution

It introduces new analytic expressions for energy relaxation that include quantum corrections and bound-state effects, validated against recent hydrogen simulations.

Findings

Analytic formulas match simulation data across a wide density range.

Quantum corrections significantly influence energy relaxation rates.

Bound electrons impact the energy relaxation process in dense hydrogen.

Abstract

Simple analytic formulae for energy relaxation (ER) in electron-ion systems, with quantum corrections, ion dynamics and RPA-type screening are presented. ER in the presence of bound electrons is examined in view of of recent simulations for ER in hydrogen in the range 10^{20}-10^{24} electrons/cc.