Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-09-17
Journal of Physics A Mathematical and Theoretical 42, 21 (2009) 214031
Physics
Condensed Matter
Statistical Mechanics
10 pages
Scientific paper
10.1088/1751-8113/42/21/214031
We consider the hydrogen quantum plasma in the Saha regime, where it almost reduces to a partially ionized atomic gas. We briefly review the construction of systematic expansions of thermodynamical functions beyond Saha theory, which describes an ideal mixture of ionized protons, ionized electrons and hydrogen atoms in their ground-state. Thanks to the existence of rigorous results, we first identify the simultaneous low-temperature and low-density limit in which Saha theory becomes asymptotically exact. Then, we argue that the screened cluster representation is well suited for calculating corrections, since that formalism accounts for all screening and recombination phenomena at work in a more tractable way than other many-body methods. We sketch the corresponding diagrammatical analysis, which leads to an exact asymptotic expansion for the equation of state. That scaled low-temperature expansion improves the analytical knowledge of the phase diagram. It also provides reliable numerical values over a rather wide range of temperatures and densities, as confirmed by comparisons to quantum Monte Carlo data.
Alastuey Angel
Vincent Ballenegger
No associations
LandOfFree
Exact aymptotic expansions for the thermodynamics of hydrogen gas in the Saha regime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact aymptotic expansions for the thermodynamics of hydrogen gas in the Saha regime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact aymptotic expansions for the thermodynamics of hydrogen gas in the Saha regime will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-442227