One-dimensional fluids with second nearest-neighbor interactions

Abstract

As is well known, one-dimensional systems with interactions restricted to first nearest neighbors admit a full analytically exact statistical-mechanical solution. This is essentially due to the fact that the knowledge of the first nearest-neighbor probability distribution function, $p_1(r)$, is enough to determine the structural and thermodynamic properties of the system. On the other hand, if the interaction between second nearest-neighbor particles is turned on, the analytically exact solution is lost. Not only the knowledge of $p_1(r)$ is not sufficient anymore, but even its determination becomes a complex many-body problem. In this work we systematically explore different approximate solutions for one-dimensional second nearest-neighbor fluid models. We apply those approximations to the square-well and the attractive two-step pair potentials and compare them with Monte Carlo simulations, finding an excellent agreement.

26 pages, 12 figures; v2: more references added

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Cited by in corpus (12)

• On the decay of the pair correlation function and the line of vanishing excess isothermal compressibility in simple fluids
• Triangle-Well and Ramp Interactions in One-Dimensional Fluids: A Fully Analytic Exact Solution
• Structural properties of hard-disk fluids under single-file confinement
• Finite-size estimates of Kirkwood-Buff and similar integrals
• Capacitive energy storage in single-file pores: Exactly-solvable models and simulations
• One-dimensional Janus fluids. Exact solution and mapping from the quenched to the annealed system
• Universality of the close packing properties and markers of isotropic-to-tetratic crossover in quasi-one-dimensional superdisk fluid
• Ordering properties of anisotropic hard bodies in one-dimensional channels
• Monte Carlo simulation of Hard-, Square-Well, and Square-Shoulder Disks in narrow channels
• Ordering and association of patchy particles in quasi-one-dimensional channel
• Finite-size effects and thermodynamic limit in one-dimensional Janus fluids
• 1D fluids with repulsive nearest-neighbour interactions: Low-temperature anomalies