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The long-time kinetics of the spherical model in an external magnetic field and below the equilibrium critical temperature is studied. The solution of the associated stochastic Langevin equation is reduced exactly to a single non-linear…

Statistical Mechanics · Physics 2008-11-26 Matthias Paessens , Malte Henkel

We study the dynamics of spin flipping at first order transitions in zero temperature two-dimensional random-field Ising model driven by an external field. We find a critical value of the disorder strength at which a discontinuous sharp…

Statistical Mechanics · Physics 2009-11-10 Ratnadeep Roy , Purusattam Ray

Critical behavior of the two-dimensional generalized $XY$ model involving solely nematic-like terms of the second, third and fourth orders is studied by Monte Carlo method. We find that such a system can undergo three successive phase…

Statistical Mechanics · Physics 2018-12-24 Milan Žukovič

Strong spin fluctuations are expected near the thermodynamic critical point of a continuous magnetic phase transition. Such critical spin fluctuations are highly correlated and in principle can occur at any time- and length-scales; they…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Chenhao Jin , Zui Tao , Kaifei Kang , Kenji Watanabe , Takashi Taniguchi , Kin Fai Mak , Jie Shan

We demonstrate quantum critical scaling for an $S=1/2$ Heisenberg antiferromagnetic chain compound CuPzN in a magnetic field around saturation, by analysing previously reported magnetization [Y. Kono {\it et al.}, Phys. Rev. Lett. {\bf…

Strongly Correlated Electrons · Physics 2015-11-16 M. Jeong , H. M. Rønnow

We show that the dynamics of an Ising spin chain in a transverse field conserves the number of domains (strings of down spins in an up-spin background) at discrete times. This enables the determination of the eigenfunctions of the…

Strongly Correlated Electrons · Physics 2009-11-10 V. Subrahmanyam

The growth of magnetic films with ferromagnetic interactions between nearest-neighbor spins is studied in $(d+1)-$dimensional rectangular geometries for $d = 1,2$. Magnetic films are grown irreversibly by adding spins at the boundaries of…

Statistical Mechanics · Physics 2009-11-11 Julián Candia , Ezequiel V. Albano

We study the Langevin dynamics for the family of spherical spin glass models of statistical physics, in the presence of a magnetic field. We prove that in the limit of system size N approaching infinity, the empirical state correlation, the…

Mathematical Physics · Physics 2008-06-24 Pompiliu Manuel Zamfir

Magnetic domain walls are pinned strongly by abrupt changes in magnetic anisotropy. When driven into oscillation by a spin-polarized current, locally pinned domain walls can be exploited as tunable sources of short-wavelength spin waves.…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Pavel Baláž , Sampo J. Hämäläinen , Sebastiaan van Dijken

Analytical multi-domain solutions to the dynamical (Landau-Lifshitz-Gilbert) equation of a one-dimensional ferromagnet including an external magnetic field and spin-polarized electric current are found using the Hirota bilinearization…

Mesoscale and Nanoscale Physics · Physics 2011-09-13 Andrzej Janutka

We have studied the dynamic and static critical behavior of spin glass transition in insulating La$_{0.9}$Sr$_{0.1}$CoO$_3$ single crystal by ac susceptibility and dc magnetization measurements in the vicinity of its freezing temperature…

Strongly Correlated Electrons · Physics 2013-05-14 N. Khan , A. Midya , P. Mandal , D. Prabhakaran

Magnetic domain wall motion is at the heart of new magneto-electronic technologies and hence the need for a deeper understanding of domain wall dynamics in magnetic systems. In this context, numerical simulations using simple models can…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Nirvana B. Caballero , Ezequiel E. Ferrero , Alejandro B. Kolton , Javier Curiale , Vincent Jeudy , Sebastian Bustingorry

Vortex critical dynamics of the two dimensional XY spin glass is studied by Monte Carlo methods in the Coulomb-gas representation. A scaling analysis of the nonlinear response is used to calculate the correlation length exponent $\nu $ of…

Statistical Mechanics · Physics 2009-10-31 Enzo Granato

The spin-1/2 quantum Ising chain in a transverse random magnetic field is studied by means of the density-matrix renormalization group. The system evolves from an ordered to a paramagnetic state as the amplitude of the random field is…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Juozapavicius , S. Caprara , A. Rosengren

In this work, we study the critical behavior of second order points and specifically of the Lifshitz point (LP) of a three-dimensional Ising model with axial competing interactions (ANNNI model), using time-dependent Monte Carlo…

Statistical Mechanics · Physics 2016-12-28 Roberto da Silva , Nelson Alves , J. R. Drugowich de Felício

The dynamic relaxation process for the two dimensional Potts model at criticality starting from an initial state with very high temperature and arbitrary magnetization is investigated with Monte Carlo methods. The results show that there…

Condensed Matter · Physics 2009-10-28 B. Zheng

An $XY$ model, generalized by inclusion of up to an infinite number of higher-order pairwise interactions with an exponentially decreasing strength, is studied by spin-wave theory and Monte Carlo simulations. At low temperatures the model…

Statistical Mechanics · Physics 2018-05-18 Milan Žukovič , Georgii Kalagov

Short-time dynamic scaling behavior of the 3D $\pm J$ Ising spin glass is studied by Monte Carlo methods. Starting the replicas with independent initial configurations with a small pseudo magnetization, the dynamic evolution of the overlap…

Statistical Mechanics · Physics 2015-06-25 H. J. Luo , L. Schuelke , B. Zheng

With Monte Carlo simulations, the nonsteady dynamics properties of a domain wall have been systematically investigated for the thermally activated creep state under an alternating driving field. Taking the driven random-field Ising model in…

Statistical Mechanics · Physics 2014-07-11 N. J. Zhou , B. Zheng

We present the results of extensive Monte Carlo simulations of Ising models with algebraically decaying ferromagnetic interactions in the regime where classical critical behavior is expected for these systems. We corroborate the values for…

Statistical Mechanics · Physics 2009-10-30 Erik Luijten , Henk W. J. Blöte