Thermodynamic functions (analytic expressions) for partially ionized strongly coupled plasmas. Bound and free states contributions

Kaklyugin, A. S.; Norman, G. É.

doi:10.1051/jp4:2000522

Cited by 2 publications

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“…Refs. [66][67][68]). As far as thermodynamical quantities are concerned, the analysis of the various contributions in their SCR confirms the arbitrariness of such a choice.…”

Section: • Debye Exponential Screening Is Destroyed By Quantum Fluctu...mentioning

confidence: 99%

Quantum Coulomb systems : screening, recombination and van der Waals forces

Alastuey

2010

Preprint

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The study of quantum Coulomb systems at equilibrium is important for understanding properties of matter in many physical situations. Screening, recombination and van der Waals forces are basic phenomena which result from the interplay of Coulomb interactions, collective effects and quantum mechanics. Those phenomena are introduced in the first part of this lecture, through various physical examples. Their treatment within meanfield theories and phenomenological approaches is also exposed, while related predictions are discussed. This sheds light on fundamental issues, which must be analyzed without any a priori approximations or modelizations. The second part of this lecture is precisely devoted to the presentation of various exact results for the quantum proton-electron hydrogen plasma. Such results are derived within the Screened Cluster Representation, which is constructed by combining the path integral representation of the Coulomb gas with Mayer-like diagrammatical techniques. They illustrate the breakdown of Debye exponential screening by quantum fluctuations, as well as the emergence of familiar chemical species in suitable low-temperature and low-density limits. Also, the amplitude of van der Waals forces is shown to be reduced by free charges.

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“…Refs. [66][67][68]). As far as thermodynamical quantities are concerned, the analysis of the various contributions in their SCR confirms the arbitrariness of such a choice.…”

Section: • Debye Exponential Screening Is Destroyed By Quantum Fluctu...mentioning

confidence: 99%

Quantum Coulomb systems : screening, recombination and van der Waals forces

Alastuey

2010

Preprint

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“…In other approaches based on the chemical picture, that ambiguity has been the source of many controversies since the introduction of the Planck-Larkin formula (see e.g. [22][23][24]). Eventually, note that the contributions to expansion (1) of more complex entites, such as H − 2 , H + 3 or H 3 , decay exponentially faster than exp(−β|E H |) as detailed in [11].…”

Section: Scaled Low-temperature Expansion Of Pressurementioning

confidence: 99%

Exact asymptotic expansions for the thermodynamics of hydrogen gas in the Saha regime

Alastuey¹,

Ballenegger²

2009

J. Phys. A: Math. Theor.

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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.

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Thermodynamic functions (analytic expressions) for partially ionized strongly coupled plasmas. Bound and free states contributions

Cited by 2 publications

References 0 publications

Quantum Coulomb systems : screening, recombination and van der Waals forces

Quantum Coulomb systems : screening, recombination and van der Waals forces

Exact asymptotic expansions for the thermodynamics of hydrogen gas in the Saha regime

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