Open AccessA JUSTIFICATION FOR THE SCALING OF THE THOM-SYSTEM
Author(s) -
Jianmin Liu,
ChangDe Gong
Publication year - 1982
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.31.1278
Subject(s) - scaling , scaling law , critical exponent , critical phenomena , statistical physics , physics , mathematical physics , critical system , order (exchange) , catastrophe theory , classical mechanics , mathematics , phase transition , quantum mechanics , geometry , statistics , geology , finance , economics , geotechnical engineering
In the present paper, we discuss the critical behavior of Thom-system using Catastrophe Theory. The universal critical asymptotic form of the family of free energy functions for Thom-system with one order parameter and two field parameters is obtained. The expressions of critical exponents, the scaling laws, the scaling hypotheses, all are derived from this universal asymptotic form.