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Scaling Hypothesis with a Finite Correlation Length at the Phase Transition Point
Author(s) -
Mrygoń B.,
Wojtczak L.
Publication year - 1979
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.2220930111
Subject(s) - scaling , mathematics , statistical physics , generalization , connection (principal bundle) , correlation , correlation function (quantum field theory) , phase transition , homogeneous , laser linewidth , transition point , mathematical analysis , widom scaling , physics , statistics , geometry , quantum mechanics , thermodynamics , critical exponent , laser , spectral density
A generalization of the scaling hypothesis is given for the case when the correlation length is finite at the phase transition point. In the presented approach the correlation functions are generalized homogeneous functions with respect to the correlation length of the reduced temperature variable. The results following from the presented approach are compared with previous results based on the master equation in connection with the Rayleigh linewidth. It is assumed that the generalized scaling procedure can be treated as a more useful tool for the description of phenomena observed in real systems.