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The micromagnetic Fokker-Planck equation is solved for a uniaxial particle in the low-temperature limit. Asymptotic series in the parameter that is the inverse barrier height-to-temperature ratio are derived. With the aid of these series,…

Statistical Mechanics · Physics 2009-11-07 Yuriy L. Raikher , Victor I. Stepanov

I report a study of the nonstationary one-dimensional Fokker-Planck solutions by means of the strictly isospectral method of supesymmetric quantum mechanics. The main conclusion is that this technique can lead to a space-dependent…

Statistical Mechanics · Physics 2009-10-28 H. C. Rosu

Classical nonlinear theories are highly successful in describing far-from-equilibrium dynamics of magnets, encompassing phenomena such as parametric resonance, ultrafast switching, and even chaos. However, at ultrashort length and time…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Lukas Körber , Pim Coenders , Johan H. Mentink

The effect of long range dipole-dipole interactions on the thermal fluctuations of the magnetization of an assembly of single-domain ferromagnetic particles is considered. If orientational correlations between the particles are neglected,…

Statistical Mechanics · Physics 2019-02-05 Pierre-Michel Déjardin

The nonlinear ac stationary response of uniaxial paramagnets and superparamagnets - nanoscale solids or clasters with spin number S ~ 10^0 - 10^4 - in superimposed uniform ac and dc bias magnetic fields of arbitrary strength, each applied…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Yuri P. Kalmykov , Serguey V. Titov , William T. Coffey

An effective description is presented for a Brownian particle in a magnetized plasma. In order to systematically capture various corrections to linear Langevin equation, we construct effective action for the Brownian particle, to quartic…

High Energy Physics - Theory · Physics 2022-10-06 Yanyan Bu , Biye Zhang , Jingbo Zhang

Magnetic damping is a key metric for emerging technologies based on magnetic nanoparticles, such as spin torque memory and high-resolution biomagnetic imaging. Despite its importance, understanding of magnetic dissipation in nanoscale…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 I. Barsukov , H. K. Lee , A. A. Jara , Y. -J. Chen , A. M. Gonçalves , C. Sha , J. A. Katine , R. E. Arias , B. A. Ivanov , I. N. Krivorotov

In an effort to provide an alternative method to represent a quantum spin, a precise nonlinear dynamics semi-classical model is used to show that standard quantum spin analysis can be obtained. The model includes a multi-body,…

Quantum Physics · Physics 2018-11-08 Joshua J. Heiner , Harry C. Shaw , David R. Thayer , Joshua D. Bodyfelt

We study the magnetic damping in the simplest of synthetic antiferromagnets, i.e. antiferromagnetically exchange-coupled spin valves in which applied magnetic fields tune the magnetic configuration to become noncollinear. We formulate the…

Mesoscale and Nanoscale Physics · Physics 2015-08-07 Takahiro Chiba , Gerrit E. W. Bauer , Saburo Takahashi

We study exact solutions of the steady state behaviour of several non-linear open quantum systems which can be applied to the field of circuit quantum electrodynamics. Using Fokker-Planck equations in the generalised P-representation we…

Quantum Physics · Physics 2016-12-28 Matthew Elliott , Eran Ginossar

There has been recent interest in the relaxational modes of small-scale fully connected systems of aligning self-propelled particles (Spera et al., Phys. Rev. Lett. {\bf 132}: 078301 (2024)). We revisit the classical connection between…

Statistical Mechanics · Physics 2026-03-25 Tara Steinhöfel , Horst-Holger Boltz , Thomas Ihle

A variational formulation of the time--dependent linear response based on the Sternheimer method is developed in order to make practical ab initio calculations of dynamical spin susceptibilities of solids. Using gradient density functional…

Strongly Correlated Electrons · Physics 2009-10-31 S. Y. Savrasov

In the context of electromagnetism and nonlinear optical interactions damping is generally introduced as a phenomenological, viscous term that dissipates energy, proportional to the temporal derivative of the polarization. Here, we follow…

We consider several models of nonlinear wave equations subject to very strong damping and quasi-periodic external forcing. This is a singular perturbation, since the damping is not the highest order term. We study the existence of response…

Analysis of PDEs · Mathematics 2015-01-27 Renato C. Calleja , Alessandra Celletti , Livia Corsi , Rafael de la Llave

The nonlinear response is investigated for a space-fractional quantum mechanical system subject to a static electric field. Expressions for the polarizability and hyperpolarizability are derived from the fractional Schr\"{o}dinger equation…

Quantum Physics · Physics 2016-09-29 Nathan J. Dawson

The physical properties of magnetic nanoparticles have been investigated with focus on the influence of dipolar interparticle interaction. For weakly coupled nanoparticles, thermodynamic perturbation theory is employed to derive analytical…

Materials Science · Physics 2016-08-31 Petra E. Jönsson

This work sets the exact equations for the quasiclassical response function and susceptibility of a Brownian particle immersed in a bath of quantum harmonic oscillators driving by nonlinear harmonic potentials. A delta force perturbation…

Quantum Physics · Physics 2020-12-09 Pedro J. Colmenares

We present an experimental study of the {\em nonlinear} susceptibility of Mn$_{12}$ single-molecule magnets. We investigate both their thermal-equilibrium and dynamical nonlinear responses. The equilibrium results show the sensitivity of…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 R. López-Ruiz , F. Luis , V. González , A. Millán , J. L. García-Palacios

The dynamic response of a parametric system constituted by a spin precessing in a time dependent magnetic field is studied by means of a perturbative approach that unveils unexpected features, and is then experimentally validated. The…

Damping mechanisms in magnetic systems determine the lifetime, diffusion and transport properties of magnons, domain walls, magnetic vortices, and skyrmions. Based on the phenomenological Landau-Lifshitz-Gilbert equation, here the effective…

Materials Science · Physics 2018-10-16 Levente Rózsa , Julian Hagemeister , Elena Y. Vedmedenko , Roland Wiesendanger
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