Topic
Antisymmetric relation
About: Antisymmetric relation is a research topic. Over the lifetime, 3322 publications have been published within this topic receiving 64365 citations. The topic is also known as: antisymmetric property & anti-symmetric property.
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TL;DR: In this paper, the effects of antisymmetric spin interactions and/or a staggered component of the g (gyromagnetic) tensor have been investigated for TlCuCl3 on a quantitative level, showing that the usual BEC picture does not allow for a good description of the experimental magnetisation data.
Abstract: In the first part we discuss how the BEC picture for magnons is modified by anisotropies induced by spin-orbit coupling. In particular, we focus on the effects of antisymmetric spin interactions and/or a staggered component of the g (gyromagnetic) tensor. Such terms lead to a gapped quasiparticle spectrum and a non-zero condensate density for all temperatures so that no phase transition occurs. We contrast this to the effect of crystal field anisotropies which are also induced by spin-orbit coupling. In the second part, we study the field-induced magnetic ordering in TlCuCl3 on a quantitative level. We show that the usual BEC picture does not allow for a good description of the experimental magnetisation data and argue that antisymmetric spin interactions and/or a staggered g tensor component are still crucial, although both are expected to be tiny in this compound due to crystal symmetries. Including this type of interaction, we obtain excellent agreement with experimental data.
35 citations
TL;DR: In this paper, the finite element method is used to solve fully developed convection problems in spatially periodic domains, where symmetric and antisymmetric periodicity in temperature is imposed in an original way that allows for different thermal boundary conditions at the walls.
Abstract: The finite-element method is used to solve fully developed convection problems in spatially periodic domains. Symmetric and antisymmetric periodicity in temperature is imposed in an original way that allows for different thermal boundary conditions at the walls. The formulation is first validated by comparing the numerical results with the analytical solutions for fully developed velocity and temperature distributions in a parallel-plate channel. Afterward, the accuracy and the capabilities of the procedure are demonstrated by two examples involving laminar flow and heat transfer in a periodic corrugated channel and in a parallel-plate channel with staggered fins.
34 citations
TL;DR: The string-inspired formalism is used to unify the calculations of the scalar, spinor and gluon loop contributions to the one-loop vertex, leading to an extremely compact representation in all cases and predicts that the vanishing of the completely antisymmetric coecient function S of this decomposition is not a one- loop accident, but persists at higher loop orders.
34 citations
TL;DR: Based on the three-dimensional linear elastic equations and magnetoelectroelastic constitutive relations, propagation of symmetric and antisymmetric Lamb waves in an infinite magneto-elastic plate is investigated in this paper.
34 citations
TL;DR: In this article, the dimensional reduction of massless gauge-invariant free Lagrangians for totally symmetric and totally antisymmetric tensors of arbitrary integral spins is carried out for the covariant and light-cone gauges.
Abstract: The dimensional reduction of massless gauge-invariant free Lagrangians for totally symmetric and totally antisymmetric tensors of arbitrary integral spins is carried out for the covariant and light-cone gauges. The structure of the auxiliary fields for the massive Lagrangians so obtained is elucidated.
34 citations