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A Hamiltonian Model of Liquefaction and Crystallization in Three Dimensions
Author(s) -
Maćkowiak J.
Publication year - 1989
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221540110
Subject(s) - liquefaction , phase transition , hamiltonian (control theory) , liquid gas , thermodynamics , crystallization , drop (telecommunication) , physics , materials science , mathematics , mathematical optimization , telecommunications , computer science
A model of a classical gas on a three‐dimensional sphere is discussed. The sphere is partitioned into cells, each corresponding to a different particle. The potential of each particle in its own cell is zero and, outside the cell, of order ln n, n being the number of particles. The two‐body interaction between the particles is shown to provoke (in the thermodynamic limit) a gas–liquid phase transition and a liquid–solid transition at a lower temperature. Both transitions are accompanied by a discontinuous drop of entropy.