Lyutyy T V, Denisov S I, Reva V V, Bystrik Yu S
Sumy State University, 2 Rimsky-Korsakov Street, UA-40007 Sumy, Ukraine.
NanoBioMedical Center, Adam Mickiewicz University, Umultowska 85, PL-61-614 Poznań, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042312. doi: 10.1103/PhysRevE.92.042312. Epub 2015 Oct 20.
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 equation. Two key characteristics of the rotational dynamics, namely the average angular frequency of precession of nanoparticles and their average magnetization, are of interest. Using the Langevin and Fokker-Planck equations, we calculate both analytically and numerically these characteristics in the deterministic and stochastic cases, determine their dependence on the model parameters, and analyze in detail the role of thermal fluctuations.
我们研究了在进动磁场中铁磁纳米颗粒的确定性和随机旋转动力学。我们的方法基于有效朗之万方程组以及相应的福克 - 普朗克方程。旋转动力学的两个关键特性,即纳米颗粒进动的平均角频率及其平均磁化强度,是我们感兴趣的。利用朗之万方程和福克 - 普朗克方程,我们在确定性和随机情况下通过解析和数值计算得出这些特性,确定它们对模型参数的依赖性,并详细分析热涨落的作用。