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, the classical and quantum theory of exterior differential forms is considered, and a geometrical formalism for generalized gauge invariance is introduced. But the formalism is restricted to the case of antisymmetric gauge fields.
37 citations
TL;DR: In this paper, normal mode techniques are used to study the displacement response spectral density of a beam of finite length resting on many simple supports and subjected either to subsonic boundary layer or far field jet noise pressure fluctuations.
37 citations
TL;DR: The algebraic and topological structure of Markovian models are used to prove a gauge invariance of the scaled cumulant-generating function, which yields an efficient algorithm for practical calculations of asymptotic averages and correlation integrals.
Abstract: Stochastic thermodynamics uses Markovian jump processes to model random transitions between observable mesoscopic states. Physical currents are obtained from antisymmetric jump observables defined on the edges of the graph representing the network of states. The asymptotic statistics of such currents are characterized by scaled cumulants. In the present work, we use the algebraic and topological structure of Markovian models to prove a gauge invariance of the scaled cumulant-generating function. Exploiting this invariance yields an efficient algorithm for practical calculations of asymptotic averages and correlation integrals. We discuss how our approach generalizes the Schnakenberg decomposition of the average entropy-production rate, and how it unifies previous work. The application of our results to concrete models is presented in an accompanying publication.
37 citations
TL;DR: In this article, the effects of the antisymmetric mode vibration on the dynamic snap-through motion were studied, and it was shown that the autoparametric responses occur for large static buckled shapes when the resonance frequency of the symmetric mode is about twice that of antisymmetric mode.
37 citations
TL;DR: In this paper, the parameters of the interacting boson model were calculated in a shell model framework, using a generalized seniority basis, and the effect of the neutron-proton interaction on the s- and d-boson structure was explicitly considered.
Abstract: The parameters of the interacting boson model are calculated in a shell model framework, using a generalized seniority basis. The effect of the neutron-proton interaction on the s- and d-boson structure is explicitly considered. The renormalization due to the truncation of the full fermion space to the S-D subspace is considered by taking the effects of the G-pair state into account using perturbation theory. It is found that this effects mainly the single boson energies and introduces a Majorana force that favors states symmetric in neutron and proton degrees of freedom over antisymmetric ones.
37 citations