Rotational properties of ferromagnetic nanoparticles driven by a precessing magnetic field in a viscous fluid

Liutyi, Taras Volodymyrovych; Denysov, Stanislav Ivanovych; Рева, Владіслав Валерійович; Рева, Владислав Валерьевич; Reva, Vladyslav Valeriiovych; Bystryk, Yurii Serhiiovych

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Title	Rotational properties of ferromagnetic nanoparticles driven by a precessing magnetic field in a viscous fluid
Authors	Liutyi, Taras Volodymyrovych Denysov, Stanislav Ivanovych Рева, Владіслав Валерійович Рева, Владислав Валерьевич Reva, Vladyslav Valeriiovych Bystryk, Yurii Serhiiovych
ORCID	http://orcid.org/0000-0001-8651-0463 http://orcid.org/0000-0001-9590-1001
Keywords	Brownian rotation rotational diffusion Fokker-Planck equation effective Langevin equation
Type	Article
Date of Issue	2015
URI	http://essuir.sumdu.edu.ua/handle/123456789/43360
Publisher	American Physical Society
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Citation	Rotational properties of ferromagnetic nanoparticles driven by a precessing magnetic field in a viscous fluid / T.V. Lyutyy, S.I. Denisov, V.V. Reva, Yu.S. Bystrik // Physical Review E 92, 042312 (2015).
Abstract	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. 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. 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.
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