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An adaptation of the lattice gas to the water problem. II. Second-order approximation

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Abstract

The adaptation of the lattice-gas model to embody features possessed by water is further explored. On the basis of Martin's functional derivative formulation of Ising problems, a perturbation scheme is developed which allows calculation of the free energy to any desired order in the interaction potential at fixed density. The free energy correct to second order in the interaction strength is utilized here for calculation of other thermodynamic properties of the model. With reasonable choices of values of the interaction parameters these thermodynamic properties of the model can be brought into agreement with those of real water.

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Work suported by USPHS GM10906-12 1736-4 and by MSP NSF 5657-4.

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Fleming, P.D., Gibbs, J.H. An adaptation of the lattice gas to the water problem. II. Second-order approximation. J Stat Phys 10, 351–378 (1974). https://doi.org/10.1007/BF01008799

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  • DOI: https://doi.org/10.1007/BF01008799

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