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Accurately analyzing NMR and MRI diffusion experimental data relies on the theoretical expression used for signal attenuation or phase evolution. In a complex system, the encountered magnetic field is often inhomogeneous, which may be…

Chemical Physics · Physics 2025-11-05 Chenghao Xua , Guoxing Lin

This paper proposes an effective diffusion equation method to analyze nuclear magnetic resonance (NMR) relaxation. NMR relaxation is a spin system recovery process, where the evolution of the spin system is affected by the random field due…

Chemical Physics · Physics 2021-03-31 Guoxing Lin

This paper proposes an effective phase diffusion method to analyze chemical exchange in nuclear magnetic resonance (NMR). The chemical exchange involves spin jumps around different sites where the spin angular frequencies vary, which leads…

Chemical Physics · Physics 2023-07-19 Guoxing Lin

Pulsed field gradient (PFG) has been increasingly employed to study anomalous diffusions in Nuclear Magnetic Resonance (NMR) and Magnetic Resonance Imaging (MRI). However, the analysis of PFG anomalous diffusion is complicated. In this…

Chemical Physics · Physics 2016-11-01 Guoxing Lin

We consider a quasiclassical model that allows us to simulate the process of spin diffusion and relaxation in the presence of a highly nonuniform magnetic field. The energy of the slow relaxing spins flows to the fast relaxing spins due to…

Materials Science · Physics 2009-11-10 G. P. Berman , B. M. Chernobrod , V. N. Gorshkov , V. I. Tsifrinovich

The diffusion motion of spin-bearing molecules is considerably affected in confined environments. In Nuclear Magnetic Resonance (NMR) experiments, under the presence of magnetic field gradients, this movement can be encoded in spin phase…

Statistical Mechanics · Physics 2022-07-19 Felipe Pereira-Alves , Diogo O. Soares-Pinto , Fernando F. Paiva

The attenuation function S(t) for an ensemble of spins in a magnetic-field gradient is calculated by accumulation of the phase shifts in the rotating frame resulting from the displacements of spin-bearing particles. The found S(t),…

Statistical Mechanics · Physics 2017-01-11 V. Lisy , J. Tothova

We derive a drift-diffusion equation for spin polarization in semiconductors by consistently taking into account electric-field effects and nondegenerate electron statistics. We identify a high-field diffusive regime which has no analogue…

Materials Science · Physics 2009-11-07 Z. G. Yu , M. E. Flatte

The theory of spin diffusion is extended to the case of spin lattice relaxation and spin diffusion in an inhomogeneous field in spin systems with non-equidistant energy spectrum. Two coupled equations describing the mutual relaxation and…

Materials Science · Physics 2007-05-23 Gregory B. Furman , Shaul D. Goren

The dynamical steady state behaviour of the random field Ising ferromagnet swept by a propagating magnetic field wave is studied at zero temperature by Monte Carlo simulation in two dimensions. The distribution of the random field is…

Statistical Mechanics · Physics 2015-03-13 Muktish Acharyya

The problem of spin diffusion is studied numerically in one-dimensional classical Heisenberg model using a deterministic odd even spin precession dynamics. We demonstrate that spin diffusion in this model, like energy diffusion, is normal…

Statistical Mechanics · Physics 2015-06-12 Debarshee Bagchi

The dynamics of disordered nuclear spin ensembles are the subject of nuclear magnetic resonance studies. Due to the through-space long-range dipolar interaction generically many spins are involved in the time evolution, so that exact brute…

Materials Science · Physics 2026-05-11 Timo Gräßer , Götz S. Uhrig , Matthias Ernst

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

We employ multiple-scale analysis to systematically derive analytical approximations describing the cosmological propagation of gravitational waves beyond general relativity, in a framework with two interacting spin-2 fields with…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Marco de Cesare , Mairi Sakellariadou , Benjamin Sutton

Nonlinear effects are the root of interesting phenomena such as masers and lasers, and play a significant role in science and engineering. In spin systems, nonlinear spin dynamics is crucial for the prediction of complex dynamical behavior…

Quantum Gases · Physics 2024-10-23 Tishuo Wang , Zhihuang Luo , Shizhong Zhang , Zhenhua Yu

Magnon spin Nernst effect was recently proposed as an intrinsic effect in antiferromagnets, where spin diffusion and boundary spin transmission have been ignored. However, diffusion processes are essential to convert a bulk spin current…

Mesoscale and Nanoscale Physics · Physics 2021-09-23 Hantao Zhang , Ran Cheng

Random motion of spins is usually detrimental in magnetic resonance experiments. The spin diffusion in non-uniform magnetic fields causes broadening of the resonance and limits the sensitivity and the spectral resolution in applications…

Quantum Physics · Physics 2023-01-18 Xiangdong Zhang , Jinbo Hu , Nan Zhao

Spin waves propagating in magnetic materials exhibit nonlinear behavior at large amplitudes due to the competition between excitation and relaxation, providing an attractive platform for exploring nonlinear wave dynamics. In particular,…

Diffusion is a fundamental physical phenomenon with critical applications in fields such as metallurgy, cell biology, and population dynamics. While standard diffusion is well-understood, anomalous diffusion often requires complex non-local…

Statistical Mechanics · Physics 2026-01-16 Gabriel Barreiro , Vladimir Pérez-Veloz

We use the phase-resolved imaging to directly study the nonlinear modification of the wavelength of spin waves propagating in 100-nm thick, in-plane magnetized YIG waveguides. We show that, by using moderate microwave powers, one can…

Mesoscale and Nanoscale Physics · Physics 2022-03-09 S. R. Lake , B. Divinskiy , G. Schmidt , S. O. Demokritov , V. E. Demidov
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