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The problem of the initial conditions for the oscillator model of quantum dissipative systems is studied. It is argued that, even in the classical case, the hypothesis that the environment is in thermal equilibrium implies a statistical…

Quantum Physics · Physics 2018-01-09 Marco Patriarca

The origin of the suppression of the longitudinal spin Seebeck effect by applied magnetic fields is studied. We perform numerical simulations of the stochastic Landau-Lifshitz-Gilbert equation of motion for an atomistic spin model and…

Materials Science · Physics 2016-05-16 Ulrike Ritzmann , Denise Hinzke , Andreas Kehlberger , Er-Jia Guo , Mathias Kläui , Ulrich Nowak

The magnetization dynamics of ferromagnets are often formulated in terms of the Landau-Lifshitz-Gilbert (LLG) equation. The reactive part of this equation describes the response of the magnetization in terms of effective fields, whereas the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Arne Brataas , Yaroslav Tserkovnyak , Gerrit E. W. Bauer

The dissipative quantum electromagnetics is introduced in a comprehensive manner as a field-matter-bath coupling problem. First, the matter is described by a cluster of Lorentz oscillators. Then the Maxwellian free field is coupled to the…

Quantum Physics · Physics 2018-11-21 Wei E. I. Sha , Aiyin Y. Liu , Weng Cho Chew

In this paper, we first derive the compressible Navier-Stokes/Landau-Lifshitz-Gilbert (NS-LLG) model for magnetoelastic materials via the energetic variational approach (EnVarA). It is important to emphasize that the manner in which the…

Analysis of PDEs · Mathematics 2026-04-23 Boling Guo , Ning Jiang , Hui Liu , Yi-Long Luo , Teng-Fei Zhang

A theoretical model based on the Landau-Lifshitz-Bloch equation is developed to study the spin-torque effect in ferrimagnets. Experimental findings, such as the temperature dependence, the peak in spin torque, and the angular-momentum…

Materials Science · Physics 2018-11-21 Zhifeng Zhu , Xuanyao Fong , Gengchiau Liang

The Landau-Lifshitz-Gilbert (LLG) equation is a widely used model for fast magnetization dynamics in ferromagnetic materials. Recently, the inertial LLG equation, which contains an inertial term, has been proposed to capture the ultra-fast…

Numerical Analysis · Mathematics 2022-09-13 Jingrun Chen , Panchi Li , Cheng Wang

The dissipative dynamics of a quantum Brownian particle is studied for different types of environment. We derive analytic results for the time evolution of the mean energy of the system for Ohmic, sub-Ohmic and super-Ohmic environments,…

Quantum Physics · Physics 2010-01-28 J. Paavola , J. Piilo , K. -A. Suominen , S. Maniscalco

We propose a generalized stochastic Landau-Lifshitz equation and its corresponding Fokker-Planck equation for the magnetization dynamics in the presence of spin transfer torques. Since the spin transfer torque can pump a magnetic energy…

Materials Science · Physics 2009-11-10 Z. Li , S. Zhang

Spin wave equations in the non-equilibrium precessing state of a ferromagnetic system are found. They show a spin-wave instability towards growing domains of stable magnetization. Precession of the uniform magnetization mode is described by…

Materials Science · Physics 2007-05-23 A. Kashuba

We propose and implement a third-order accurate numerical scheme for the Landau-Lifshitz-Gilbert equation, which describes magnetization dynamics in ferromagnetic materials under large damping parameters. This method offers two key…

Mathematical Physics · Physics 2025-10-29 Changjian Xie , Cheng Wang

We present a theoretical framework for equilibrium and nonequilibrium dynamical simulation of quantum states with spin-density-wave (SDW) order. Within a semiclassical adiabatic approximation that retains electron degrees of freedom, we…

Strongly Correlated Electrons · Physics 2018-01-12 Gia-Wei Chern , Kipton Barros , Zhentao Wang , Hidemaro Suwa , Cristian D. Batista

Spin-dynamics techniques have been used to perform large-scale simulations of the dynamic behavior of the classical Heisenberg antiferromagnet in simple cubic lattices with linear sizes $L\leq 60$. This system is widely recognized as an…

Statistical Mechanics · Physics 2009-10-31 Shan-Ho Tsai , Alex Bunker , D. P. Landau

The effect of inertial spin dynamics is compared between ferromagnetic, antiferromagnetic and ferrimagnetic systems. The linear response to an oscillating external magnetic field is calculated within the framework of the inertial…

Materials Science · Physics 2021-04-16 Ritwik Mondal , Sebastian Großenbach , Levente Rózsa , Ulrich Nowak

This paper investigates the time-optimal control problem for the Landau-Lifshitz-Bloch (LLB) equation, a macroscopic model that characterizes magnetization dynamics in ferromagnetic materials across a wide temperature range, including near…

Optimization and Control · Mathematics 2025-12-22 Sidhartha Patnaik , Kumarasamy Sakthivel

We employ the linear response theory to calculate the polarization rate of heavy quark spin in the presence of a strong magnetic field and the hot QCD matter, both of which are simultaneously generated in relativistic heavy-ion collisions.…

Nuclear Theory · Physics 2025-05-27 Tianyang Li , Anping Huang , Baoyi Chen

A Landau-Lifshitz-Gilbert type equation has been derived by using s-d model in which the s-electron system is regarded as an environment coupled weakly with the localized spins. Based on the irreducible linear response theory, we show that…

Materials Science · Physics 2007-05-23 Akimasa Sakuma

With appropriate modifications, the multi-spin Klein-Gordon (KG) equation of quantum field theory can be adapted to curved spacetime for spins 0,1,1/2. The associated particles in the microworld then move as a wave at all spacetime…

General Relativity and Quantum Cosmology · Physics 2021-11-24 Gary Nash

We model a quantum system coupled to an environment of damped harmonic oscillators by following the approach of Caldeira-Leggett and adopting the Caldirola-Kanai Lagrangian for the bath oscillators. In deriving the master equation of the…

Quantum Physics · Physics 2023-03-17 Lester Buxton , Marc-Thomas Russo , Jim Al-Khalili , Andrea Rocco

We implement a finite-element scheme that solves the Landau-Lifshitz-Gilbert equation coupled to a diffusion equation accounting for spin-polarized currents. The latter solves for the spin accumulation not only in magnetic materials but…

Computational Physics · Physics 2015-05-19 Claas Abert , Michele Ruggeri , Florian Bruckner , Christoph Vogler , Gino Hrkac , Dirk Praetorius , Dieter Suess