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Theory of Anharmonic Crystals. II. Linear Chain
Author(s) -
Plakida N. M.,
Siklós T.
Publication year - 1969
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.19690330108
Subject(s) - anharmonicity , monatomic ion , work (physics) , constant (computer programming) , chain (unit) , zero point energy , physics , critical point (mathematics) , tension (geology) , condensed matter physics , lattice (music) , internal energy , vibrational energy , thermodynamics , statistical physics , classical mechanics , quantum mechanics , mathematics , compression (physics) , mathematical analysis , molecule , computer science , acoustics , programming language
The properties of the monatomic linear chain with nearest neighbour interaction are considered at fixed length and at constant external tension applying the dynamical theory of the anharmonic lattice developed in our previous work. The vibrational frequency, the damping, the internal energy, the specific heat, the average length and tension are calculated. It is shown that in the case of constant external tension the chain becomes unstable at sufficiently high temperature or at sufficiently high zero‐point energy. The critical parameters are obtained and the behaviour of the thermodynamical quantities in the vicinity of the critical point are investigated.