dorsal/arxiv
View SchemaEquation of states for classical Coulomb systems. The use of Hubbard-Schofield approach
| Authors | J. Ortner |
|---|---|
| Categories | |
| ArXiv ID | physics/9906020 |
| URL | https://arxiv.org/abs/physics/9906020 |
Abstract
An effective method based on Hubbard-Schofield approach [Phys. Lett. A {\bf 40}, 245 (1972)] is developed to calculate the free energy of classical Coulomb systems. This method significantly simplifies the derivation of the cluster expansion. A diagrammatic representation of the cluster integrals is proposed. Simple rules providing the leading order in density $n$ of each diagrammatic contribution are found. We calculate the $n^3$ contribution and recover the results at the order $n^{5/2}$ obtained by the traditional method of resummation of diverging Mayer bonds.
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"date_created": "2026-03-02T18:01:25.419000Z",
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"abstract": "An effective method based on Hubbard-Schofield approach [Phys. Lett. A {\\bf\n40}, 245 (1972)] is developed to calculate the free energy of classical Coulomb\nsystems. This method significantly simplifies the derivation of the cluster\nexpansion. A diagrammatic representation of the cluster integrals is proposed.\nSimple rules providing the leading order in density $n$ of each diagrammatic\ncontribution are found. We calculate the $n^3$ contribution and recover the\nresults at the order $n^{5/2}$ obtained by the traditional method of\nresummation of diverging Mayer bonds.",
"arxiv_id": "physics/9906020",
"authors": [
"J. Ortner"
],
"categories": [
"physics.class-ph"
],
"title": "Equation of states for classical Coulomb systems. The use of Hubbard-Schofield approach",
"url": "https://arxiv.org/abs/physics/9906020"
},
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