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Stochastic Forces in Anharmonic Crystals and on Their Surfaces
Author(s) -
Wiatrowski G.
Publication year - 1987
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.2221410107
Subject(s) - anharmonicity , phonon , position (finance) , autocorrelation , exponential function , statistical physics , physics , condensed matter physics , distribution (mathematics) , mathematics , mathematical analysis , statistics , finance , economics
The phonon theory for inhomogeneous thin films with fluctuation of equilibrium position is developed in the anharmonic approximation. The analytical relations describing the stochastic forces as a term of the system memory with fluctuating parameter, δ, the quasi‐exponential autocorrelation functions, and the asymptotic behaviour of the system at low temperatures are obtained. The present results concern the surface as well as the bulk, so that the spatial distribution of phonon excitations in the system with and without fluctuations, in dependence of the initial conditions, can be discussed. Moreover, some conclusions on the local and global melting points in thin films are presented.