Condensed Matter Physics, 1995, No. 5, p. 210-225, English
The one-dimensional lattice gas with short and long-range interactions is obtained in the usual way by mapping it onto the one-dimensional Ising model, which can be exactly solved. The solution of the magnetic is determined using the functional integral method, and a review of its critical behaviour is presented. The phase diagram of the lattice gas is obtained for various strengths of the interaction parameters, and the different critical regimes identified are compared to the ones obtained for the classical gas.
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