Open AccessSTATISTICAL THEORY OF A ONE-DIMENSIONAL INTERACTIVE KINK-PHONON GAS
Author(s) -
Zhenqing Yang
Publication year - 1981
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.30.389
Subject(s) - partition function (quantum field theory) , phonon , path integral formulation , eigenvalues and eigenvectors , physics , partition (number theory) , function (biology) , statistical physics , phase transition , expression (computer science) , quantum mechanics , condensed matter physics , mathematics , combinatorics , computer science , evolutionary biology , quantum , biology , programming language
This paper systematically studies and improves the statistical theory of the kink-phonon interactive mixture in a one-dimensional model for the displacive phase transition. By taking applicable forms of the path integral for both the partition functions of kink and phonon and altering the method in calculating the path integral of phonon, a more reasonable and general expression of the partition function of the Grand ensemble is obtained. Under the lowest eigenstate approximation, the Grand.partition function may be reduced to a result similar to that of reference[6]. Under the classical approximation, the average density of the kink calculated from the Grand partition function is in agreement with the result of the computer simulation better than those obtained in earlier publications.