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We develop a Fokker-Planck approach to describe the dynamics of staggered magnetization and thermal fluctuations in a two-dimensional antiferromagnetic system with uniaxial anisotropy. Beginning with a classical model for the…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 E. Martello , G. A. Falci , E. Paladino , F. M. D. Pellegrino

A formulation for thermal noise in the stochastic form of the Landau Lifshitz Bloch equation used for modeling the magnetization dynamics at elevated temperatures is presented. The diffusion coefficients for thermal fluctuations are…

Statistical Mechanics · Physics 2021-09-16 Marco Menarini , Vitaliy Lomakin

The dynamics of a 90$^{\circ }$ domain wall in an antiferromagnetic nanostrip driven by the current-induced spin-orbital torque are theoretically examined in the presence of random thermal fluctuations. A soliton-type equation of motion is…

Materials Science · Physics 2019-06-26 Yuriy G. Semenov , Xinyi Xu , Ki Wook Kim

A theoretical model is developed that can accurately analyze the effects of thermal fluctuations in antiferromagnetic (AFM) nano-particles. The approach is based on Fourier series representation of the random effective field with cut-off…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 Yuriy G. Semenov , Xiniy Xu , Ki Wook Kim

We study the temperature dependence of the drift velocity of single-domain ferromagnetic particles induced by the Magnus force in a dilute suspension. A set of stochastic equations describing the translational and rotational dynamics of…

Soft Condensed Matter · Physics 2018-03-29 S. I. Denisov , T. V. Lyutyy , V. V. Reva , A. S. Yermolenko

We study the dynamics of solitons in a Landau-Lifshitz equation describing the magnetization of a three-dimensional ferromagnet with an easy axis anisotropy. We numerically compute the energy dispersion relation and the structure of moving…

Condensed Matter · Physics 2009-11-07 Theodora Ioannidou , Paul Sutcliffe

We consider the motion of a matter-wave bright soliton under the influence of a cloud of thermal particles. In the ideal one-dimensional system, the scattering process of the quasiparticles with the soliton is reflectionless, however, the…

Other Condensed Matter · Physics 2007-05-23 Subhasis Sinha , Alexander Yu. Cherny , Dmitry Kovrizhin , Joachim Brand

We analyze the diffusive motion of kink solitons governed by the thermal sine-Gordon equation. We analytically calculate the correlation function of the position of the kink center as well as the diffusion coefficient, both up to…

Statistical Mechanics · Physics 2009-10-31 Niurka R. Quintero , Angel Sanchez , Franz G. Mertens

Collective dynamics often play an important role in determining the stability of ground states for both naturally occurring materials and metamaterials. We studied the temperature dependent dynamics of antiferromagnetically ordered…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 X. M. Chen , B. Farmer , J. S. Woods , S. Dhuey , W. Hu , C. Mazzoli , S. B. Wilkins , I. K. Robinson , L. E. De Long , S. Roy , J. T. Hastings

Starting from the stochastic Landau-Lifschitz-Gilbert equation, we derive Langevin equations that describe the nonzero-temperature dynamics of a rigid domain wall. We derive an expression for the average drift velocity of the domain wall as…

Materials Science · Physics 2009-11-11 R. A. Duine , A. S. Nunez , A. H. MacDonald

The problem of dissipative motion of solitons in the case of tetramethyl ammonium manganese chloride (TMMC) is studied as a function of the external magnetic field and the temperature. Two specific situations are analyzed separately; the…

Condensed Matter · Physics 2007-05-23 A. Villares Ferrer , A. O. Caldeira , A. S. T. Pires

We study the mobility of a particle coupled to a one dimensional interacting fermionic system, a Luttinger liquid. We bosonize the Luttinger liquid and find the effective interaction between the particle and the bosonic system. We show that…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , A. O. Caldeira

We study the deterministic and stochastic rotational dynamics of ferromagnetic nanoparticles in a precessing magnetic field. Our approach is based on the system of effective Langevin equations and on the corresponding Fokker-Planck…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 T. V. Lyutyy , S. I. Denisov , V. V. Reva , Yu. S. Bystrik

A fully analytical theory of a traveling soliton in a one-dimensional fermionic superfluid is developed within the framework of time-dependent self-consistent Bogoliubov-de Gennes equations, which are solved exactly in the Andreev…

Quantum Gases · Physics 2016-01-28 Dmitry K. Efimkin , Victor Galitski

A quantum mechanical model is used to derive a generalized Landau-Lifshitz equation for a magnetic moment, including fluctuations and dissipation. The model reproduces the Gilbert-Brown form of the equation in the classical limit. The…

Materials Science · Physics 2009-11-07 A. Rebei , G. J. Parker

The theory of elastic magnets is formulated under possible diffusion and heat flow governed by Fick's and Fourier's laws in the deformed (Eulerian) configuration, respectively. The concepts of nonlocal nonsimple materials and viscous…

Mathematical Physics · Physics 2018-05-09 Tomas Roubicek , Giuseppe Tomassetti

We propose fractional Fokker-Planck equation for the kinetic description of relaxation and superdiffusion processes in constant magnetic and random electric fields. We assume that the random electric field acting on a test charged particle…

Plasma Physics · Physics 2009-11-07 A. Chechkin , V. Gonchar , M. Szydlowski

We analyze the thermodynamic properties of antiferromagnetic solids subjected to a combination of mutually orthogonal uniform magnetic and staggered fields. Low-temperature series for the pressure, order parameter and magnetization up to…

Strongly Correlated Electrons · Physics 2020-07-15 Tomáš Brauner , Christoph P. Hofmann

A macroscopic equation of motion for the magnetization of a ferromagnet at elevated temperatures should contain both transverse and longitudinal relaxation terms and interpolate between Landau-Lifshitz equation at low temperatures and the…

Statistical Mechanics · Physics 2009-10-31 D. A. Garanin

We study the non-equilibrium dynamics of solitons in model Hamiltonians for Peierls dimerized quasi-one dimensional conducting polymers and commensurate charge density wave systems. The real time equation of motion for the collective…

Condensed Matter · Physics 2009-10-30 S. M. Alamoudi , D. Boyanovsky , F. I. Takakura
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