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Abstract:

We study the equilibrium thermodynamics of a one-dimensional lattice gas with interaction V ( i - j ) = -1/μn{ε - 1/n |i- j|} given by the superposition of a universal attractive interaction with strength -1/μn ε< 0, and a linear attractive potential 1/μn2 |i-j|. The interaction is rescaled with the lattice size n, such that the thermodynamical limit n → ∞ is well-behaved. The thermodynamical properties of the system can be found exactly, both for a finite size lattice and in the thermodynamical limit n → ∞. The lattice gas can be mapped to a system of non-interacting bosons which are placed on known energy levels. The exact solution shows that the system has a liquid-gas phase transition for ε > 0. In the large temperature limit T » T0(ρ) = ρ2/(4μ) with ρ the density, the system becomes spatially homogeneous, and the equation of state is given to a good approximation by a lattice version of the van der Waals equation, with critical temperature Tc (vdW) = 1/12μ(3ε - 1 ). © 2015 AIP Publishing LLC.

Registro:

Documento: Artículo
Título:Thermodynamics of a lattice gas with linear attractive potential
Autor:Pirjol, D.; Schat, C.
Filiación:Department of Particle Physics, National Institute for Physics and Nuclear Engineering, Bucharest, 077125, Romania
Departamento de Física, FCEyN, Universidad de Buenos Aires and IFIBA, CONICET, Ciudad Universitaria, Pab. 1, Buenos Aires, 1428, Argentina
Año:2015
Volumen:56
Número:1
DOI: http://dx.doi.org/10.1063/1.4904833
Título revista:Journal of Mathematical Physics
Título revista abreviado:J. Math. Phys.
ISSN:00222488
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v56_n1_p_Pirjol

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Citas:

---------- APA ----------
Pirjol, D. & Schat, C. (2015) . Thermodynamics of a lattice gas with linear attractive potential. Journal of Mathematical Physics, 56(1).
http://dx.doi.org/10.1063/1.4904833
---------- CHICAGO ----------
Pirjol, D., Schat, C. "Thermodynamics of a lattice gas with linear attractive potential" . Journal of Mathematical Physics 56, no. 1 (2015).
http://dx.doi.org/10.1063/1.4904833
---------- MLA ----------
Pirjol, D., Schat, C. "Thermodynamics of a lattice gas with linear attractive potential" . Journal of Mathematical Physics, vol. 56, no. 1, 2015.
http://dx.doi.org/10.1063/1.4904833
---------- VANCOUVER ----------
Pirjol, D., Schat, C. Thermodynamics of a lattice gas with linear attractive potential. J. Math. Phys. 2015;56(1).
http://dx.doi.org/10.1063/1.4904833