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Related papers: Describe NMR relaxation by effective diffusion equ…

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In the present work, by using the method of accumulation of phase shifts in the rotating frame, the attenuation function S(t) of the NMR signal from an ensemble of spin-bearing particles in a magnetic-field gradient is expressed through the…

Statistical Mechanics · Physics 2018-09-26 Jana Tothova , Vladimir Lisy

Heterogeneous diffusion processes occur in many different fields such as transport in living cells or diffusion in porous media. A characterization of the transport parameters of such processes can be achieved by ensemble-based methods,…

Data Analysis, Statistics and Probability · Physics 2011-10-17 Michael Bauer , Rustem Valiullin , Günter Radons , Jörg Kärger

There has been much renewed interest in dynamic nuclear polarization (DNP), particularly in the context of solid state biomolecular NMR and more recently dissolution DNP techniques for liquids. This paper reviews the role of spin diffusion…

Other Condensed Matter · Physics 2009-04-01 Chandrasekhar Ramanathan

Nuclear-magnetic-resonance experiments can interrogate a broad spectrum of molecular-tumbling regimes and can accurately measure interatomic distances in solution with sub-nanometer resolution. In the zero- to ultralow-field (ZULF) regime,…

Relaxation of conduction electron spins in a semiconductor owing to the hyperfine interaction with spin-1/2 nuclei, in zero applied magnetic field, is investigated. We calculate the electron spin relaxation time scales, in order to evaluate…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Yuriy V. Pershin , Vladimir Privman

The Bloch-Torrey equation governs the evolution of the transverse magnetization in diffusion magnetic resonance imaging, where two mechanisms are at play: diffusion of spins (Laplacian term) and their precession in a magnetic field gradient…

Computational Physics · Physics 2021-10-14 Nicolas Moutal , Antoine Moutal , Denis S. Grebenkov

Relaxation and correlation times are two parameters used frequently in approximate descriptions of the time development of hadronizing system from some initial state towards distributions observed experimentally. Chosen to reproduce the…

High Energy Physics - Phenomenology · Physics 2021-07-07 Maciej Rybczynski , Grzegorz Wilk , Zbigniew Wlodarczyk

When probing nuclear spins in materials on the nanometer scale, random fluctuations of the spin polarization will exceed the mean Boltzmann polarization for sample volumes below about (100nm)^3. In this work, we use magnetic resonance force…

Mesoscale and Nanoscale Physics · Physics 2008-01-14 C. L. Degen , M. Poggio , H. J. Mamin , D. Rugar

We present the architecture of the versatile NMR spectrometer with software-defined radio (SDR) technology and its application to the dynamically controlled pulsed magnetic fields. The pulse-field technology is the only solution to access…

Strongly Correlated Electrons · Physics 2021-11-24 Yoshihiko Ihara , Kaoru Hayashi , Tomoki Kanda , Kazuki Matsui , Koichi Kindo , Yoshimitsu Kohama

A general theoretical description of a magnetic resonance is presented. This description is necessary for a detailed analysis of spin dynamics in electric-dipole-moment experiments in storage rings. General formulas describing a behavior of…

Nuclear Theory · Physics 2017-05-30 Alexander J. Silenko

We make a modified spin-wave description of the nuclear spin relaxation in Heisenberg alternating-spin chains with antiferromagnetic exchange coupling. In contrast with the conventional one-dimensional antiferromagnetic spin-wave theory,…

Statistical Mechanics · Physics 2009-10-31 Shoji Yamamoto

Recent experimental and theoretical studies have established that the spin-lattice relaxation rate, $1/T_1$, measured in nuclear magnetic resonance (NMR) experiments is a site-sensitive probe for the electronic spectrum in the mixed state…

Superconductivity · Physics 2009-10-31 Dirk K. Morr

Relaxation of the Larmor magnetic moment by spin-exchange collisions has been shown to diminish for high alkali densities, resulting from the linear part of the collisional interaction. In contrast, we demonstrate both experimentally and…

Quantum Physics · Physics 2025-07-08 Or Katz , Mark Dikopoltsev , Or Peleg , Moshe Shuker , Jeff Steinhauer , Nadav Katz

The nuclear spin is a prime candidate for quantum information applications due to its weak coupling to the environment and inherently long coherence times. However, this weak coupling also challenges the addressability of the nuclear spin.…

Quantum Physics · Physics 2025-12-15 Hester G. Vennema , Cristina Mier , Evert W. Stolte , Leonard Edens , Jinwon Lee , Sander Otte

There is an extensive literature on magnetic gradient induced spin relaxation. Cates, Schaefer and Happer (CSH) in a seminal paper, have solved the problem in the regime where diffusion theory (the Torrey equation is applicable using an…

Atomic Physics · Physics 2013-05-29 R. Golub , Ryan M. Rohm , C. M. Swank

When degenerate states are separated by large energy barriers, the approach to thermal equilibrium can be slow enough that physical properties are defined by the thermalization process rather than the equilibrium. The exploration of…

In nuclear magnetic resonance (NMR), the bulk magnetization of a sample is commonly assumed to be proportional to spin polarization, with each spin of the same type contributing equally to the measured signal. In this work, we prove the…

Chemical Physics · Physics 2025-06-16 Danila A. Barskiy , Andrey Pravdivtsev

The paper describes the multiple rotating frame technique for designing modulated rf-fields, that perform broadband heteronuclear decoupling in solution NMR spectroscopy. The decoupling is understood by performing a sequence of coordinate…

Quantum Physics · Physics 2015-05-19 Haribabu Arthanari , Gerhard Wagner , Navin Khaneja

We study the effect of the non-linear process of ambipolar diffusion (joint transport of magnetic flux and charged particles relative to neutral particles) on the long-term behavior of a non-uniform magnetic field in a one-dimensional…

Solar and Stellar Astrophysics · Physics 2015-05-18 Jaime Hoyos , Andreas Reisenegger , Juan Valdivia

We propose a new approach to the measurement of a single spin state, based on nuclear magnetic resonance (NMR) techniques and inspired by the coherent control over many-body systems envisaged by Quantum Information Processing (QIP). A…

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