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We study the discrete-to-continuum limit of ferromagnetic spin systems when the lattice spacing tends to zero. We assume that the atoms are part of a (maybe) non-periodic lattice close to a flat set in a lower dimensional space, typically a…

Analysis of PDEs · Mathematics 2018-03-16 Andrea Braides , Marco Cicalese , Matthias Ruf

The large-time asymptotics of the density matrix solving a drift-diffusion-Poisson model for the spin-polarized electron transport in semiconductors is proved. The equations are analyzed in a bounded domain with initial and Dirichlet…

Analysis of PDEs · Mathematics 2019-08-28 Philipp Holzinger , Ansgar Jüngel

We study the problem of homogenization for inertial particles moving in a time dependent random velocity field and subject to molecular diffusion. We show that, under appropriate assumptions on the velocity field, the large--scale,…

Mathematical Physics · Physics 2007-05-23 G. A. Pavliotis , A. M. Stuart , K. C. Zygalakis

Spin-phonon relaxation due to two-phonon processes of a spin cluster embedded in an elastic medium has been studied. For the case of uniaxial anisotropy, relaxation rates due to Raman processes and processes involving the emission of two…

Statistical Mechanics · Physics 2008-05-05 C. Calero , E. M. Chudnovsky , D. A. Garanin

7Li NMR measurements were performed in the metallic spinel LiV2O4. The temperature dependencies of the line width, the Knight shift and the spin-lattice relaxation rate were investigated in the temperature range 30 mK < T < 280 K. For…

Strongly Correlated Electrons · Physics 2016-08-15 H. Kaps , N. Büttgen , W. Trinkl , A. Loidl , M. Klemm , S. Horn

A numerical study of the role of anomalous diffusion in front propagation in reaction-diffusion systems is presented. Three models of anomalous diffusion are considered: fractional diffusion, tempered fractional diffusion, and a model that…

Pattern Formation and Solitons · Physics 2014-09-11 D. del-Castillo-Negrete

Finite-temperature spin transport in integrable isotropic spin chains (i.e., spin chains with continuous nonabelian symmetries) is known to be superdiffusive, with anomalous transport properties displaying remarkable robustness to isotropic…

Statistical Mechanics · Physics 2024-12-10 Catherine McCarthy , Sarang Gopalakrishnan , Romain Vasseur

We report on a Monte Carlo study of a diluted Ising antiferromagnet on a fcc lattice. This is a typical model example of a highly frustrated antiferromagnet, and we ask, whether sufficient random dilution of spins does produce a spin glass…

Condensed Matter · Physics 2009-10-28 C. Wengel , C. L. Henley , A. Zippelius

Owing to lack of time translational invariance, aging soft glassy materials do not obey fundamental principles of linear viscoelasticity. We show that by transforming the linear viscoelastic framework from the real time domain to the…

Soft Condensed Matter · Physics 2014-03-06 Manish Kaushal , Yogesh M. Joshi

We study the relaxation process in normal and anomalous diffusion regimes for systems described by a generalized Langevin equation (GLE). We demonstrate the existence of a very general correlation function which describes the relaxation…

Disordered Systems and Neural Networks · Physics 2007-05-23 Mendeli H. Vainstein , Ismael V. L. Costa , Rafael Morgado , Fernando A. Oliveira

We study translational and rotational diffusion of anisotropic gold nanoparticles (NPs) dispersed in the bulk of a nematic liquid crystal fluid host. Experimental data reveal strong anisotropy of translational diffusion with respect to the…

Soft Condensed Matter · Physics 2016-12-23 Bohdan Senyuk , David Glugla , Ivan I. Smalyukh

A microscopically motivated theory of glassy dynamics based on an underlying random first order transition is developed to explain the magnitude of free energy barriers for glassy relaxation. A variety of empirical correlations embodied in…

Disordered Systems and Neural Networks · Physics 2009-10-31 Xiaoyu Xia , Peter G. Wolynes

Equation of long-range particle drift and diffusion on three-dimensional physical lattice is suggested. This equation can be considered as a lattice analogof space-fractional Fokker-Planck equation for continuum. The lattice approach gives…

Statistical Mechanics · Physics 2015-03-13 Vasily E. Tarasov

We present a numerical study of classical particles diffusing on a solid surface. The particles' motion is modeled by an underdamped Langevin equation with ordinary thermal noise. The particle-surface interaction is described by a periodic…

Statistical Mechanics · Physics 2009-11-10 J. M. Sancho , A. M. Lacasta , K. Lindenberg , I. M. Sokolov , A. H. Romero

In our recent work on concentrated suspensions of uniformly porous colloidal spheres with excluded volume interactions, a variety of short-time dynamic properties were calculated, except for the rotational self-diffusion coefficient. This…

Soft Condensed Matter · Physics 2015-05-27 Gustavo C. Abade , Bogdan Cichocki , Maria L. Ekiel-Jezewska , Gerhard Naegele , Eligiusz Wajnryb

We discuss the relaxation dynamics of a simple lattice gas model for glass-forming systems and show that with increasing density of particles this dynamics slows down very quickly. By monitoring the trajectory of tagged particles we find…

Soft Condensed Matter · Physics 2010-05-07 Pinaki Chaudhuri , Ludovic Berthier , Srikanth Sastry , Walter Kob

The hyperfine field from dynamically polarized nuclei in n-GaAs is very spatially inhomogeneous, as the nu- clear polarization process is most efficient near the randomly-distributed donors. Electrons with polarized spins traversing the…

Disordered Systems and Neural Networks · Physics 2015-10-16 N. J. Harmon , T. A. Peterson , C. C. Geppert , S. J. Patel , C. J. Palmstrøm , P. A. Crowell , M. E. Flatté

Nematic liquid crystals exhibit both crystal-like and fluid-like features. In particular, the propagation of an acoustic wave shows an unexpected occurrence of some of the solid-like features at the hydrodynamic level, namely, the…

Soft Condensed Matter · Physics 2017-01-04 Stefano S. Turzi

A model for a spin-torque nano-oscillator based on the self-sustained oscillation of a magnetic skyrmion is presented. The system involves a circular nanopillar geometry comprising an ultrathin film free magnetic layer with a strong…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 F. Garcia-Sanchez , J. Sampaio , N. Reyren , V. Cros , J. -V. Kim

We study the spin-phonon relaxation rate of both Kramers and non-Kramers molecular magnets in strongly diluted samples at low temperature. Using the "rotational" contribution to the spin-phonon Hamiltonian, universal formulae for the…

Strongly Correlated Electrons · Physics 2018-01-31 Le Tuan Anh Ho , Liviu F. Chibotaru
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