Semiclassical catastrophe theory of simple bifurcations.
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DOI: 10.1103/physreve.96.042206
Abstract: The Fedoriuk-Maslov catastrophe theory of caustics and turning points is extended to solve the bifurcation problems by the improved stationary phase method (ISPM). The trace formulas for the radial power-law (RPL) potentials are presented by… read more here.
Keywords: catastrophe theory; theory simple; bifurcation; semiclassical catastrophe ... See more keywords
Constructing and Classifying Phenomenological Models of Phase Transitions by Means of Catastrophe Theory
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Russian Academy of Sciences: Physics"
DOI: 10.3103/s1062873819090193
Abstract: Phenomenological models of phase transitions for two- and three-component order parameters are constructed by means of catastrophe theory using equivariant vector fields that consider the symmetry of the thermodynamic system. The models are classified according… read more here.
Keywords: phase transitions; catastrophe theory; models phase; phenomenological models ... See more keywords