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Monte Carlo algorithms are frequently used in atomistic simulations, including for computation of magnetic parameter temperature dependences in multiscale simulations. Even though parallelization strategies for Monte Carlo simulations of…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Serban Lepadatu , George McKenzie , Tim Mercer , Callum Robert MacKinnon , Philip Raymond Bissell

We investigate the magnetic properties of a range of low-dimensional ferromagnets using a combination of first-principles calculations and atomistic spin dynamics simulations. This approach allows us to evaluate the ground state and finite…

Materials Science · Physics 2016-11-26 Lars Bergqvist , Andrea Taroni , Anders Bergman , Corina Etz , Olle Eriksson

Here, a dynamical Monte-Carlo (DMC) method is used to study temperature-dependent dynamical magnetization of famous Mn2Ni system as typical example of single-chain magnets with strong magnetic anisotropy. Simulated magnetization curves are…

Mesoscale and Nanoscale Physics · Physics 2015-05-21 Jun Li , Bang-Gui Liu

Magnetic nanoparticles are useful biological probes as well as therapeutic agents. There have been several approaches used to model nanoparticle magnetization dynamics for both Brownian as well as N\'eel rotation. The magnetizations are…

Mesoscale and Nanoscale Physics · Physics 2015-05-12 Daniel B. Reeves , John B. Weaver

The entanglement in a general mixed spin chain with arbitrary spin $S$ and 1/2 is investigated in the thermodynamical limit. The entanglement is witnessed by the magnetic susceptibility which decides a characteristic temperature for an…

Quantum Physics · Physics 2009-11-13 Xiang Hao , Shiqun Zhu

We study dimensional crossover in Ising systems at complex temperatures by comparing three types of system: the infinite isotropic 2D Ising model; the infinite anisotropic 2D Ising model; and Ising ladders with a finite number of legs. In…

Statistical Mechanics · Physics 2020-04-22 Sankhya Basu , Chris A. Hooley , Vadim Oganesyan

The advance of magnetic nanotechnologies relies on detailed understanding of nanoscale magnetic mechanisms in materials. Magnetic domain memory (MDM), i.e., the tendency for magnetic domains to repeat the same pattern during field-cycling,…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Karine Chesnel , Alex Safsten , Matthew Rytting , Eric E. Fullerton

We discuss time-quantified Monte-Carlo simulations on classical spin chains with uniaxial anisotropy in relation to static calculations. Depending on the thickness of domain walls, controlled by the relative strength of the exchange and…

Statistical Mechanics · Physics 2015-03-19 Orlando V. Billoni , Vivien Pianet , Danilo Pescia , Alessandro Vindigni

The dynamics of real magnets is often governed by several interacting processes taking place simultaneously at different length scales. For dynamical simulations the relevant length scales should be coupled, and the energy transfer…

Materials Science · Physics 2007-05-23 V. V. Dobrovitski , M. I. Katsnelson , B. N. Harmon

Although the fully connected Ising model does not have a length scale, we show that its critical exponents can be found using finite size scaling with the scaling variable equal to N, the number of spins. We find that at the critical…

Statistical Mechanics · Physics 2014-10-15 Louis Colonna-Romano , Harvey Gould , W. Klein

Magnetic nanoparticles and their magnetization dynamics play an important role in many applications. We focus on magnetization dynamics in large ensembles of single domain nanoparticles being characterized by either Brownian or N\'{e}el…

Image and Video Processing · Electrical Eng. & Systems 2020-10-16 Hannes Albers , Tobias Kluth , Tobias Knopp

The scaling of the magnetic field dependence of the remanent magnetization for different temperatures and different spin-glass samples is studied. Particular attention is paid to the effect of the de Almeida-Thouless (AT) critical line on…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. S. Zotev , R. Orbach

A two dimensional magnetic particle in the presence of an external magnetic field is studied. Equilibrium thermodynamical properties are derived by evaluating analytically the partition function. When the external field is applied…

Condensed Matter · Physics 2009-11-07 P. Vargas , D. Altbir , M. Knobel , D. Laroze

We calculate the real time non-equilibrium dynamics of quantum spin systems at finite temperatures. The mathematical framework originates from the $C^*$-approach to quantum statistical mechanics and is applied to samples investigated by…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Kolja Them , T. Stapelfeldt , E. Y. Vedmedenko , R. Wiesendanger

Multiscale thermodynamics is a theory of relations among levels of investigation of complex systems. It includes the classical equilibrium thermodynamics as a special case but it is applicable to both static and time evolving processes in…

Statistical Mechanics · Physics 2021-02-24 Miroslav Grmela

Ultrafast magnetization dynamics probes the most fundamental properties of magnetic materials, exploring questions about the fundamental interactions responsible for magnetic phenomena. Thermal effects are known to be extremely important…

Materials Science · Physics 2019-08-26 Daniel Meilak , Sarah Jenkins , Rory Pond , Richard F. L. Evans

Despite of the topical engineering need and all scientific investments, the mathematical formulation of modeling elastic deformations in magnetic systems is not yet fully established. Often, especially in electrical engineering…

Mathematical Physics · Physics 2016-02-17 Tuomas Kovanen , Timo Tarhasaari , Lauri Kettunen

Energy-efficient switching of nanoscale magnets requires the application of a time-varying magnetic field characterized by microwave frequency. At finite temperatures, even weak thermal fluctuations create perturbations in the magnetization…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Mohammad H. A. Badarneh , Grzegorz J. Kwiatkowski , Pavel F. Bessarab

A one dimensional kinetic Ising model at a finite temperature on a semi-infinite lattice with time varying boundary spins is considered. Exact expressions for the expectation values of the spin at each site are obtained, in terms of the…

Statistical Mechanics · Physics 2012-02-06 Amir Aghamohammadi , Cina Aghamohammadi , Mohammad Khorrami

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Statistical Mechanics · Physics 2025-04-24 Varazdat Stepanyan , Andreas F. Tzortzakakis , David Petrosyan , Armen E. Allahverdyan