Condensation of a one-dimensional lattice gas |
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Authors: | Kurt Johansson |
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Affiliation: | (1) Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden;(2) Present address: Department of Mathematics, University of Uppsala, S-752 38 Uppsala, Sweden |
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Abstract: | We consider a one-dimensional lattice gas in the canonical ensemble with interaction energy 1/r, 1<2. Using an energy-entropy argument we show that the gas condenses at sufficiently low temperatures meaning that the gas has a non-uniform density in the thermodynamic limit.Research supported by the Swedish research councils NFR and STUF |
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