Linearization criteria for two-dimensional systems of third-order ordinary differential equations by complex approach
Sign Up to like & getrecommendations! Published in 2019 at "Arabian Journal of Mathematics"
DOI: 10.1007/s40065-019-0238-8
Abstract: Linearization criteria for two-dimensional systems of second-order ordinary differential equations (ODEs) have been derived earlier using complex symmetry analysis. For such systems, the linearizable form, linearization criteria and symmetry group classification are presented. In this… read more here.
Keywords: linearization; order; dimensional systems; linearization criteria ... See more keywords
Correlation lengths in quasi-one-dimensional systems via transfer matrices
Sign Up to like & getrecommendations! Published in 2018 at "Molecular Physics"
DOI: 10.1080/00268976.2018.1479543
Abstract: ABSTRACT Using transfer matrices up to next-nearest-neighbour interactions, we examine the structural correlations of quasi-one-dimensional systems of hard disks confined by two parallel lines and hard spheres confined in cylinders. Simulations have shown that the… read more here.
Keywords: correlation lengths; one dimensional; transfer matrices; quasi one ... See more keywords
Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review A"
DOI: 10.1103/physreva.101.033603
Abstract: We study the ground-state properties of a two-component fermionic mixture effectively confined in a one-dimensional harmonic trap. We consider scenarios when numbers of particles in components are the same but particles have different masses. We… read more here.
Keywords: unconventional pairing; systems mass; pairing one; mass ... See more keywords
Hardy's paradox for multisetting high-dimensional systems
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review A"
DOI: 10.1103/physreva.98.062103
Abstract: Recently, Chen et al introduced an alternative form of Hardy's paradox for $2$-settings and high-dimensional systems [Phy. Rev. A 88, 062116 (2013)], in which there is a great progress in improving the maximum probability of… read more here.
Keywords: high dimensional; paradox multisetting; hardy paradox; dimensional systems ... See more keywords
Wave transmission and its universal fluctuations in one-dimensional systems with Lévy-like disorder: Schrödinger, Klein-Gordon, and Dirac equations.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.054127
Abstract: We investigate the propagation of waves in one-dimensional systems with Lévy-type disorder. We perform a complete analysis of nonrelativistic and relativistic wave transmission submitted to potential barriers whose width, separation, or both follow Lévy distributions… read more here.
Keywords: localization; wave transmission; transmission; one dimensional ... See more keywords
Thermalization of Interacting Quasi-One-Dimensional Systems.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.130.030401
Abstract: Many experimentally relevant systems are quasi-one-dimensional, consisting of nearly decoupled chains. In these systems, there is a natural separation of scales between the strong intrachain interactions and the weak interchain coupling. When the intrachain interactions… read more here.
Keywords: quasi one; relaxation; one dimensional; dimensional systems ... See more keywords
Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems
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DOI: 10.3390/math9192495
Abstract: We consider the Koopman operator theory in the context of nonlinear infinite-dimensional systems, where the operator is defined over a space of bounded continuous functionals. The properties of the Koopman semigroup are described and a… read more here.
Keywords: dimensional systems; infinite dimensional; framework; koopman operator ... See more keywords