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Limits of stability of the extended water model

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  • Van Royen, Eddy
  • Meijer, Paul H.E.

Abstract

In this paper we report the metastable states of the extended water model. The framework of the computations is explained in detail; the constrained or “observed” variables are determined as function of the nonobserved order parameters, or cluster variables, and the susceptibility is expressed in terms of the Hessian of the free energy with respect to these constrained variables. Since the Hessian is of the fourth order in this model, there are different possibilities for it to be zero, each associated with different spinodal. The analysis of this problem was done and examples are given. The procedure used is compared with Gibbs original work on the equilibrium of heterogeneous substances.

Suggested Citation

  • Van Royen, Eddy & Meijer, Paul H.E., 1986. "Limits of stability of the extended water model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 139(2), pages 412-429.
    • Handle: RePEc:eee:phsmap:v:139:y:1986:i:2:p:412-429
    DOI: 10.1016/0378-4371(86)90129-9
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