Abstract
Recent work has revived the approach to the equilibrium theory of classical liquids via coding theory and statistical geometry. Each atomic configuration is specified in terms of its Voronoi honeycomb and Delaunay graph, and the perfect gas distribution is used as a prior for the probability density of a Voronoi bond-length. An entropy maximisation then leads to an equation of state in closed form. Preliminary results in two dimensions agree with computer simulations within the approximations made, and include a qualitatively correct account of the liquid/gas phase transition. Further progress, including a description of ordering, requires the solution of several formal problems. These are discussed here in some detail since some of them seem to involve points of general interest in the formulation of maximum entropy methods.
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© 1989 Springer Science+Business Media Dordrecht
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Collins, R., Ogawa, T., Ogawa, T. (1989). Problems of Maximum-Entropy Formalism in the Statistical Geometry of Simple Liquids. In: Skilling, J. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7860-8_12
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DOI: https://doi.org/10.1007/978-94-015-7860-8_12
Publisher Name: Springer, Dordrecht
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