Orbital eccentricity in general relativity from catastrophe theory
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DOI: 10.1103/physrevd.111.024008
Abstract: While the orbital eccentricity is a key feature of the gravitational two-body problem, providing an unambiguous definition in general relativity poses significant challenges. Despite such foundational issue, the eccentricity of binary black holes has important… read more here.
Keywords: eccentricity; relativity; orbital eccentricity; general relativity ... See more keywords
Semiclassical catastrophe theory of simple bifurcations.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
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
Towards Catastrophe Theory for Khovanov–Rozansky Homology
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DOI: 10.1134/s0021364024600630
Abstract: We suggest another way to look at observables in cohomological quantum field theory, which are the Khovanov–Rozansky knot invariants. To do that, we briefly summarise our results on jumps in the analytic fo-rmulas for the… read more here.
Keywords: towards catastrophe; theory khovanov; catastrophe theory; khovanov rozansky ... 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