{"title":"Spin-Wave Model of Free Induction Decay in Ring Spin Cluster","authors":"Kirill Tsiberkin, Ekaterina Kovycheva","doi":"10.1007/s00723-024-01650-2","DOIUrl":null,"url":null,"abstract":"<div><p>The study presents an analysis of free induction decay (FID) in the ensemble of ring spin clusters using the formalism of collective modes similar to the spin waves. A dispersion relation for the waves is obtained. FID from a spin cluster is estimated and averaged over system parameters to simulate the signal given by a spherical structure or by an ensemble of rings withrandom orientation. There exists a fast relaxation according to the Gaussian law in the initial time interval. After <i>T</i><sub>2</sub>, the signal decays as a power function which matches the direct numerical simulations of the signal from the ring clusters.</p></div>","PeriodicalId":469,"journal":{"name":"Applied Magnetic Resonance","volume":"55 5","pages":"565 - 574"},"PeriodicalIF":1.1000,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Magnetic Resonance","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00723-024-01650-2","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, ATOMIC, MOLECULAR & CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
The study presents an analysis of free induction decay (FID) in the ensemble of ring spin clusters using the formalism of collective modes similar to the spin waves. A dispersion relation for the waves is obtained. FID from a spin cluster is estimated and averaged over system parameters to simulate the signal given by a spherical structure or by an ensemble of rings withrandom orientation. There exists a fast relaxation according to the Gaussian law in the initial time interval. After T2, the signal decays as a power function which matches the direct numerical simulations of the signal from the ring clusters.
期刊介绍：
Applied Magnetic Resonance provides an international forum for the application of magnetic resonance in physics, chemistry, biology, medicine, geochemistry, ecology, engineering, and related fields.
The contents include articles with a strong emphasis on new applications, and on new experimental methods. Additional features include book reviews and Letters to the Editor.
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