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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

Nuclear magnetic resonance (NMR) diffusion experiments are widely employed as they yield information about structures hindering the diffusion process, e.g. about cell membranes. While it has been shown in recent articles, that these…

Medical Physics · Physics 2013-05-08 Frederik Bernd Laun , Tristan Anselm Kuder

In this paper commutator expansions for solving the Bloch-Torrey's equation are derived. An exact solution for free diffusion in a constant magnetic field gradient is found. Furthermore the moments of the signal in the short gradient pulse…

Chemical Physics · Physics 2014-08-19 Matias Nordin

The lattice dynamics of solid 4He has been explored using pulsed NMR methods to study the motion of 3He impurities in the temperature range where experiments have revealed anomalies attributed to superflow or unexpected viscoelastic…

Materials Science · Physics 2015-06-12 S. S. Kim , C. Huan , L. Yin , J. S. Xia , D. Candela , N. S. Sullivan

We study magnetic fluctuations in a system of interacting spins on a lattice at high temperatures and in the presence of a spatially varying magnetic field. Starting from a microscopic Hamiltonian we derive effective equations of motion for…

Statistical Mechanics · Physics 2013-03-28 Andrew Sykes , Dmitry Solenov , Dmitry Mozyrsky

^{139}La NMR measurements of La_{2/3}Ca_{1/3}MnO_3 performed in the paramagnetic state and high magnetic fields are reported. Analysis of the high temperature spectrum measured establishes that the spectrum it is a standard powder pattern…

Strongly Correlated Electrons · Physics 2009-10-31 K. E. Sakaie , C. P. Slichter , P. Lin , M. Jaime , M. B. Salamon

An approximative method for solving the Bloch-Torrey equation in general porous media is presented. The method expand the boundaries defining the porous media using electrostatic charges. As a result the eigenvalue problem of the Laplace…

Soft Condensed Matter · Physics 2013-08-29 Matias Nordin

The field distribution in the vortex lattice of a pure niobium single crystal with an external field applied along a three-fold axis has been investigated by the transverse-field muon-spin-rotation (TF-$\mu$SR) technique over a wide range…

Optically active spin defects in solids offer promising platforms to investigate nuclear spin clusters with high sensitivity and atomic-site resolution. To leverage near-surface defects for molecular structure analysis in chemical and…

We argue that nuclear magnetic resonance experiments are a site-sensitive probe for the electronic spectrum in the mixed state of the high-$T_c$ cuprates. Within a spin-fermion model, we show that the Doppler-shifted electronic spectrum…

Superconductivity · Physics 2009-10-31 Dirk K. Morr , Rachel Wortis

Spin noise spectroscopy is an optical technique which can probe spin resonances non-perturbatively. First applied to atomic vapours, it revealed detailed information about nuclear magnetism and the hyperfine interaction. In solids, this…

Materials Science · Physics 2015-10-21 Steeve Cronenberger , Denis Scalbert , David Ferrand , Hervé Boukari , Joël Cibert

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

A comprehensive theoretical description is given for the spin relaxation and diffusion in solids. The formulation is made in a general statistical-mechanical way. The method of the nonequilibrium statistical operator (NSO) developed by D.…

Statistical Mechanics · Physics 2009-11-11 A. L. Kuzemsky

In the theory of quantum spin liquids, gauge fluctuations are emergent excitations at low energy. The gauge magnetic field is proportional to the scalar spin chirality, S1.(S2xS3). It is therefore highly desirable to measure the fluctuation…

Strongly Correlated Electrons · Physics 2015-06-11 Patrick A. Lee , Naota Nagaosa

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 von Neumann stability analysis along with a Chapman-Enskog analysis is proposed for a single-relaxation-time lattice Boltzmann Method (LBM) for wave propagation in isotropic linear elastic solids, using a regular D2Q9 lattice. Different…

Computational Engineering, Finance, and Science · Computer Science 2020-09-15 Maxime Escande , Praveen Kumar Kolluru , Louis Marie Cléon , Pierre Sagaut

A continuous-time formulation of the Diffusion Monte Carlo method for lattice models is presented. In its simplest version, without the explicit use of trial wavefunctions for importance sampling, the method is an excellent tool for…

Strongly Correlated Electrons · Physics 2009-11-10 Olav F. Syljuasen

A quantum cluster expansion method is developed for the problem of localized electron spin decoherence due to dipolar fluctuations of lattice nuclear spins. At the lowest order it provides a microscopic explanation for the Lorentzian…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 W. M. Witzel , Rogerio de Sousa , S. Das Sarma

When the motion of electrons is restricted to a plane under a perpendicular magnetic field B, a variety of quantum phases emerge at low temperatures whose properties are dictated by the Coulomb interaction and its interplay with disorder.…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 L. Tiemann , T. D. Rhone , N. Shibata , K. Muraki

The nature of the tetraneutron ($4n$) system remains a pivotal question in nuclear physics. We investigate the $4n$ system using nuclear lattice effective field theory in finite volumes with a lattice size up to $L=30$~fm, employing both a…

Nuclear Theory · Physics 2026-04-17 Linqian Wu , Serdar Elhatisari , Ulf-G. Meißner , Shihang Shen , Li-Sheng Geng , Youngman Kim
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