Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields
Sign Up to like & getrecommendations! Published in 2020 at "Annals of Physics"
DOI: 10.1016/j.aop.2020.168180
Abstract: The integrals of the motion associated with conformal Killing vectors of a curved space-time with an additional electromagnetic background are studied for massive particles. They involve a new term which might be non-local. The difficulty… read more here.
Keywords: integrals motion; motion waves; symmetries integrals; waves external ... See more keywords
Dimensionality and integrals of motion of the Trappist-1 planetary system
Sign Up to like & getrecommendations! Published in 2018 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/sty959
Abstract: The number of isolating integrals of motion of the Trappist-1 system - a late M-dwarf orbited by seven Earth-sized planets - was determined numerically, using an adapted version of the correlation dimension method. It was… read more here.
Keywords: system; motion trappist; trappist planetary; dimensionality integrals ... See more keywords
Comparing many-body localization lengths via nonperturbative construction of local integrals of motion
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.100.214203
Abstract: Many-body localization (MBL), characterized by the absence of thermalization and the violation of conventional thermodynamics, has elicited much interest both as a fundamental physical phenomenon and for practical applications in quantum information. A phenomenological model,… read more here.
Keywords: localization lengths; many body; local integrals; integrals motion ... See more keywords
Material surfaces in stochastic flows: Integrals of motion and intermittency.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.107.l023101
Abstract: We consider the line, surface, and volume elements of fluid in stationary isotropic incompressible stochastic flow in d-dimensional space and investigate the long-time evolution of their statistic properties. We report the discovery of a family… read more here.
Keywords: surfaces stochastic; motion; stochastic flows; material surfaces ... See more keywords
Determining the number of integrals of motion by an adapted correlation dimension method.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.032222
Abstract: An adapted correlation dimension algorithm is used to numerically determine the number of integrals of motion in a variety of conservative classical systems. The method is demonstrated on three sample systems that display various degrees… read more here.
Keywords: adapted correlation; correlation dimension; integrals motion; number integrals ... See more keywords