Abstract
A one-dimensional point process with correlations constructed via a geometrical rule is shown to behave like a fluid at equilibrium. The equation of state is calculated and the “inverse problem” of finding an interaction potential underlying the system is considered. The effective potential is found to be dependent on macroscopic parameters via a dependence on the density of the system.
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Fesciyan, S., Frisch, H.L. Stochastic model of a one-dimensional fluid. J Stat Phys 12, 153–162 (1975). https://doi.org/10.1007/BF01010030
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DOI: https://doi.org/10.1007/BF01010030