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A classical Luttinger liquid

Riccardo Fantoni

Physica A: Statistical Mechanics and its Applications, 2025, vol. 672, issue C

Abstract: We propose a binary nonadditive Asakura–Oosawa-like mixture as an example for the classical limit of a Luttinger liquid. We determine the equation of state and structure of this mixture and discuss the paradoxical situation that one faces when working with a quantum liquid without a ground state. We then propose a new class of one dimensional classical fluids.

Keywords: Luttinger liquid; Classical limit; Paradox; Binary mixture; Nonadditivity; Asakura–Oosawa; Equation of state; Radial distribution function (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:672:y:2025:i:c:s0378437125003012

DOI: 10.1016/j.physa.2025.130649

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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