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Disordered ground states in one-dimensional exactly solvable fluids

Year: 2026
Type: article
Abstract: One-dimensional fluids of classical hard-core particles of diameter a , interacting in pairs via a soft repulsive (monotonically decreasing) potential of finite range φ ( x ) = ε [ ( a ′ − x ) / ( a ′ − a ) ] 1 / ν ( a ⩽ x ⩽ a ′ ) with real positive parameters ε and ν , are studied in an isothermal–isobaric ensemble. If a ′ ⩽ 2 a , the pairwise interactions are reduced to nearest-neighbour (NN) interactions, which allows for an exact solution of the thermal equilibrium. We focus on the T → 0 ground states, specifically on the equation of state for the mean distance between NNs l 0 and the pair correlation function g 0 ( x ) . If φ ( x ) is concave ( ν ⩾ 1 ) , there exists an ‘incompressibility’ pressure p i
Open Access status: hybrid
Estimated APC paid: $3,325
OpenAlex ID: W7204194565
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