Generation of acoustic-Brownian noise in nuclear magnetic resonance under non-equilibrium thermal fluctuations
We present an analytical study on generation of acoustic-Brownian noise in nuclear magnetic resonance (NMR) induced as a result of thermal fluctuations of the magnetic moments under non-equilibrium thermal interactions which has not been explored independent of Nyquist–Johnson noise until now. The m...
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Springer Science and Business Media LLC
2020
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Online Access: | https://hdl.handle.net/1721.1/128821 |
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author | Sinha, Dhiraj |
author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Sinha, Dhiraj |
author_sort | Sinha, Dhiraj |
collection | MIT |
description | We present an analytical study on generation of acoustic-Brownian noise in nuclear magnetic resonance (NMR) induced as a result of thermal fluctuations of the magnetic moments under non-equilibrium thermal interactions which has not been explored independent of Nyquist–Johnson noise until now. The mechanism of physical coupling between non-equilibrium thermal fluctuations and magnetic moments is illustrated using Lighthill’s formulation on suspension dynamics. We discover that unlike Nyquist–Johnson noise which has a uniform spectral density across a range of frequencies, the spectral dependence of acoustic-Brownian noise decreases with an increase in frequency and resembles Brownian noise associated with a particle in a potential well. The results have applications in the field of image enhancement algorithm as well as noise reduction instrumentation in NMR systems. |
first_indexed | 2024-09-23T13:23:08Z |
format | Article |
id | mit-1721.1/128821 |
institution | Massachusetts Institute of Technology |
last_indexed | 2024-09-23T13:23:08Z |
publishDate | 2020 |
publisher | Springer Science and Business Media LLC |
record_format | dspace |
spelling | mit-1721.1/1288212022-09-28T13:49:45Z Generation of acoustic-Brownian noise in nuclear magnetic resonance under non-equilibrium thermal fluctuations Sinha, Dhiraj Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science We present an analytical study on generation of acoustic-Brownian noise in nuclear magnetic resonance (NMR) induced as a result of thermal fluctuations of the magnetic moments under non-equilibrium thermal interactions which has not been explored independent of Nyquist–Johnson noise until now. The mechanism of physical coupling between non-equilibrium thermal fluctuations and magnetic moments is illustrated using Lighthill’s formulation on suspension dynamics. We discover that unlike Nyquist–Johnson noise which has a uniform spectral density across a range of frequencies, the spectral dependence of acoustic-Brownian noise decreases with an increase in frequency and resembles Brownian noise associated with a particle in a potential well. The results have applications in the field of image enhancement algorithm as well as noise reduction instrumentation in NMR systems. 2020-12-11T20:00:29Z 2020-12-11T20:00:29Z 2020-12 2019-06 Article http://purl.org/eprint/type/JournalArticle 2045-2322 https://hdl.handle.net/1721.1/128821 Sinha, Dhiraj. "Generation of acoustic-Brownian noise in nuclear magnetic resonance under non-equilibrium thermal fluctuations." Scientific Reports 10, 1 (December 2020): 21406 © 2020 The Author(s) https://doi.org/10.1038/s41598-020-77206-8 Scientific Reports Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ application/pdf Springer Science and Business Media LLC Scientific Reports |
spellingShingle | Sinha, Dhiraj Generation of acoustic-Brownian noise in nuclear magnetic resonance under non-equilibrium thermal fluctuations |
title | Generation of acoustic-Brownian noise in nuclear magnetic resonance under non-equilibrium thermal fluctuations |
title_full | Generation of acoustic-Brownian noise in nuclear magnetic resonance under non-equilibrium thermal fluctuations |
title_fullStr | Generation of acoustic-Brownian noise in nuclear magnetic resonance under non-equilibrium thermal fluctuations |
title_full_unstemmed | Generation of acoustic-Brownian noise in nuclear magnetic resonance under non-equilibrium thermal fluctuations |
title_short | Generation of acoustic-Brownian noise in nuclear magnetic resonance under non-equilibrium thermal fluctuations |
title_sort | generation of acoustic brownian noise in nuclear magnetic resonance under non equilibrium thermal fluctuations |
url | https://hdl.handle.net/1721.1/128821 |
work_keys_str_mv | AT sinhadhiraj generationofacousticbrowniannoiseinnuclearmagneticresonanceundernonequilibriumthermalfluctuations |