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 article, a generalized approach is presented to analyze the nature of guided wave mode interactions in isotropic weakly nonlinear elastic plates, which facilitates systematic analysis of mode interaction in general and that of higher harmonic generation in particular.
Abstract: A generalized approach is presented to analyze the nature of guided wave mode interactions in isotropic weakly nonlinear elastic plates. The problem formulation is carried out in terms of the displacement gradient, which facilitates systematic analysis of mode interactions in general and that of higher harmonic generation in particular. Only cumulative harmonics are analyzed; these (1) have nonzero power flow and (2) are phase matched. Results indicate that the interaction of Rayleigh-Lamb modes of the same nature (symmetric or antisymmetric) can generate only cumulative harmonics that are symmetric modes, while the interaction between modes of opposite nature can generate only cumulative harmonics that are antisymmetric modes. A methodology for assessing cumulative higher harmonic generation (e.g., the third harmonic) is also proposed.
83 citations
TL;DR: In this article, the effect of shear deformation on dynamic instability of simply supported antisymmetric angle-ply rectangular plates is considered, and the boundaries of the principal instability region are conveniently represented in the plane "non-dimensional excitation frequency squared-nondimensional load amplitude".
82 citations
TL;DR: In this article, the authors investigated the properties of the helical spin density wave (HSDW) due to the antisymmetric and symmetric exchange interactions and found that the spin wave spectra for the two types of HSDW are strongly different from each other, especially in the magnetic field dependences.
Abstract: In order to elucidate the different behaviours of the helical spin density waves (HSDW) due to the antisymmetric and symmetric exchange interactions, spin waves in the conical spin density wave (CSDW) states and the induced ferromagnetic states (IFMS) under external magnetic fields are calculated by use of phenomenological Hamiltonians with and without the antisymmetric exchange interaction. It is found that the spin wave spectra for the two types of HSDW are strongly different from each other, especially in the magnetic field dependences, enough to be able to distinguish them. The ESR frequencies are also investigated theoretically for bothtypes. In the light of these results, the observed magnetic field dependencies of the ESR frequencies in MnSi and Fe 1- x Co x Si are discussed to prove the HSDW due to the antisymmetric exchange interaction in these compounds.
82 citations
TL;DR: The experimental observation of an endogeneous antisymmetric wave source in a quasi-one-dimensional chemical system is reported and a theoretical interpretation relying on the interaction between Turing and Hopf modes is proposed.
Abstract: We report the experimental observation of an endogeneous antisymmetric wave source in a quasi-one-dimensional chemical system. Substantiated by numerical simulations, a theoretical interpretation relying on the interaction between Turing and Hopf modes is proposed.
82 citations
TL;DR: In this paper, the spectrum of excitations and the one-loop determinant of holographic Wilson loop operators in antisymmetric representations of supersymmetric Yang-Mills theory were studied.
Abstract: We systematically study the spectrum of excitations and the one-loop determinant of holographic Wilson loop operators in antisymmetric representations of $\mathcal{N}=4$ supersymmetric Yang-Mills theory. Holographically, these operators are described by D5-branes carrying electric flux and wrapping an $S^4 \subset S^5$ in the $AdS_5\times S^5$ bulk background. We derive the dynamics of both bosonic and fermionic excitations for such D5-branes. A particularly important configuration in this class is the D5-brane with $AdS_2\times S^4$ worldvolume and $k$ units of electric flux, which is dual to the circular Wilson loop in the totally antisymmetric representation of rank $k$. For this Wilson loop, we obtain the spectrum, show explicitly that it is supersymmetric and calculate the one-loop effective action using heat kernel techniques.
81 citations