Geometric phases for pseudo-hyperbolic magnetic particles with ferromagnetic media

3区物理与天体物理 Q1 Engineering

Waves in Random and Complex Media Pub Date : 2023-10-27 DOI:10.1080/17455030.2023.2266029

Talat Körpinar, Zeliha Körpinar, Ahmet Sazak

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Abstract

AbstractIn this study, we analyze the electromagnetic parameters and associated geometric phases of a magnetic particle moving in pseudo-hyperbolic space associated with Minkowski 3-space. To do this, we make use of curves representing the trajectories of electromagnetic waves, the electric and the magnetic field equations, and in particular the Heisenberg equations (ferromagnetic spin chain) that serve spin wave theory. First of all, we obtain the Lorentz forces and magnetic fields of these magnetic particles, which we call pseudo-hyperbolic (p-hyperbolic) magnetic particles. Next, we calculate electric fields and power flows with the help of the equation relating Lorentz and Newtonian forces. We then characterize some geometric phases of these power flows, which give data on energy density and magnitude. Finally, we characterize the geometric phases of a power flow in a ferromagnetic media with the help of the ferromagnetic Heisenberg model. We also give simulations of Heisenberg ferromagnetic power flows, including observations of the results obtained at the end of this section.Keywords: Spin wave theoryelectromagnetismenergy densityferromagnetic modelgeometric phaseEinstein universeMATHEMATICS SUBJECT CLASSIFICATIONS: 53A0476B4734A34PACS: 03.50.De04.20.-q02.40.-k Disclosure statementNo potential conflict of interest was reported by the author(s).Ethical ApprovalThis paper does not require ethical approval or any special approval.Availability of data and materialsData set sharing is not applicable for this paper, as there is no data set created or analyzed during the paper.

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具有铁磁介质的伪双曲磁性粒子的几何相

摘要本文分析了磁粒子在Minkowski三维空间中运动的伪双曲空间中的电磁参数和相关的几何相位。为此，我们利用代表电磁波轨迹的曲线，电场和磁场方程，特别是为自旋波理论服务的海森堡方程(铁磁自旋链)。首先，我们得到这些磁粒子的洛伦兹力和磁场，我们称之为伪双曲(p-双曲)磁粒子。接下来，我们借助洛伦兹力和牛顿力的关系式计算电场和功率流。然后，我们描述了这些功率流的一些几何相位，从而给出了能量密度和量级的数据。最后，我们利用铁磁海森堡模型描述了铁磁介质中功率流的几何相位。我们还给出了海森堡铁磁功率流的模拟，包括对本节末尾获得的结果的观察。关键词:自旋波理论电磁学能量密度铁磁模型几何相位爱因斯坦宇宙数学学科分类:53A0476B4734A34PACS: 03.50 de04.20 -q02.40-k披露声明作者未报告潜在利益冲突。伦理审批本论文不需要伦理审批或任何特殊审批。数据和材料的可用性数据集共享不适用于本文，因为在本文中没有创建或分析数据集。

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来源期刊

Waves in Random and Complex Media 物理-物理：综合

自引率

0.00%

发文量

677

审稿时长

3.0 months

期刊介绍： Waves in Random and Complex Media (formerly Waves in Random Media ) is a broad, interdisciplinary journal that reports theoretical, applied and experimental research related to any wave phenomena. The field of wave phenomena is all-pervading, fast-moving and exciting; more and more, researchers are looking for a journal which addresses the understanding of wave-matter interactions in increasingly complex natural and engineered media. With its foundations in the scattering and propagation community, Waves in Random and Complex Media is becoming a key forum for research in both established fields such as imaging through turbulence, as well as emerging fields such as metamaterials. The Journal is of interest to scientists and engineers working in the field of wave propagation, scattering and imaging in random or complex media. Papers on theoretical developments, experimental results and analytical/numerical studies are considered for publication, as are deterministic problems when also linked to random or complex media. Papers are expected to report original work, and must be comprehensible and of general interest to the broad community working with wave phenomena.