Dielectric relaxation of interacting/polarizable polar molecules with linear reaction dynamics in a weak alternating field

Hong, Tao; Tang, Zhengming; Zhou, Yonghong; Zhu, Huacheng

doi:10.1016/j.cplett.2019.04.053

Cited by 5 publications

(4 citation statements)

References 28 publications

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“…The expression of the magnetization is derived based on the Legendre polynomials as shown in Eq. (15). It can be seen that the magnitude will decrease with time increasing, because the reactant is gradually annihilated with the reaction.…”

Section: Static or Harmonic Magnetic Fieldmentioning

confidence: 96%

“…However, in an isomerization reaction with linear reaction dynamics, equation (3) is no longer suitable for describing the probability distribution function, and the chemical reaction process should be taken into consideration. [15] In this paper, the reactants decrease at a constant rate and the products are assumed to be nonmagnetic. Affected by the magnetic field, the magnetic reactants rotate with the external magnetic field, and split stochastically with reaction process proceeding simultaneously.…”

Section: Basic Equationsmentioning

confidence: 99%

“…where C represents the probability distribution function of the reactant concentration, and ν describes the effect of the reaction process, which is given by [15,17]…”

Section: Basic Equationsmentioning

confidence: 99%

“…(16). Equation (15) shows that the magnetization varies with σ and can be affected by the external magnetic field and chemical reaction process.…”

Section: Static or Harmonic Magnetic Fieldmentioning

confidence: 99%

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Magnetization relaxation of uniaxial anisotropic ferromagnetic particles with linear reaction dynamics driven by DC/AC magnetic field*

Hu¹,

Jiang²,

Hong³

et al. 2021

Chinese Phys. B

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The response of uniaxial anisotropic ferromagnetic particles with linear reaction dynamics subjected to alternating current (AC) or direct current (DC) bias magnetic field is evaluated by the reaction–diffusion equation for the probability distribution function of the molecular concentration in the spherical coordinate system. The magnetization function and the probability distribution function of the magnetic particles in the reaction system are derived by using the Legendre polynomials and Laplace transform. We discuss the characteristics of magnetization and probability distribution of the magnetic particles with different anisotropic parameters driven by a DC and AC magnetic fields, respectively. It is shown that both the magnetization and the probability distribution decrease with time increasing due to the reaction process. The uniformity of the probability distribution and the amplitude of the magnetization are both affected by the anisotropic parameters. Meanwhile, the difference between the case with linear reaction dynamics and the non-reaction case is discussed.

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Section: Static or Harmonic Magnetic Fieldmentioning

confidence: 96%

Section: Basic Equationsmentioning

confidence: 99%

“…where C represents the probability distribution function of the reactant concentration, and ν describes the effect of the reaction process, which is given by [15,17]…”

Section: Basic Equationsmentioning

confidence: 99%

“…(16). Equation (15) shows that the magnetization varies with σ and can be affected by the external magnetic field and chemical reaction process.…”

Section: Static or Harmonic Magnetic Fieldmentioning

confidence: 99%

See 2 more Smart Citations

Magnetization relaxation of uniaxial anisotropic ferromagnetic particles with linear reaction dynamics driven by DC/AC magnetic field*

Hu¹,

Jiang²,

Hong³

et al. 2021

Chinese Phys. B

Self Cite

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show abstract

Porphyrin-based cationic conjugated network prepared by Zincke reaction and its adsorption for TcO4−/ReO4−

Yin

Chen

et al. 2021

J Radioanal Nucl Chem

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Nonlinear magnetization relaxation of uniaxial anisotropic ferromagnetic particles with linear reaction dynamics driven by a strong ac magnetic field

Hong

Jiang

et al. 2021

Chemical Physics Letters

View full text Add to dashboard Cite

Dielectric relaxation of interacting/polarizable polar molecules with linear reaction dynamics in a weak alternating field

Cited by 5 publications

References 28 publications

Magnetization relaxation of uniaxial anisotropic ferromagnetic particles with linear reaction dynamics driven by DC/AC magnetic field*

Magnetization relaxation of uniaxial anisotropic ferromagnetic particles with linear reaction dynamics driven by DC/AC magnetic field*

Porphyrin-based cationic conjugated network prepared by Zincke reaction and its adsorption for TcO4−/ReO4−

Nonlinear magnetization relaxation of uniaxial anisotropic ferromagnetic particles with linear reaction dynamics driven by a strong ac magnetic field

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