Premium
A Model of Crystallization in a One‐Dimensional Classical Liquid
Author(s) -
Maćkowiak J.
Publication year - 1988
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.2221450207
Subject(s) - particle system , mean field theory , particle (ecology) , entropy (arrow of time) , phase transition , range (aeronautics) , physics , limit (mathematics) , statistical physics , thermodynamics , condensed matter physics , mathematics , materials science , mathematical analysis , geology , oceanography , composite material , operating system , computer science
A one‐dimensional classical mean‐field model of a liquid is presented. Each particle is located within its own cell on a circle and interacts with the others via a long‐range potential which tends to attract it towards the centre of the cell. The free energy of the liquid per particle is equal in the thermodynamic limit to that of a noninteracting system which exhibits a first‐order phase transition accompained by a discontinuous fall of the entropy and increased mean field characterizing an almost periodic particle distribution.