Rotational dynamics of the magnetic moments in ferrofluids

Scherer, C.; Ricci, Trieste dos Santos Freire

doi:10.1590/s0103-97332001000300007

Cited by 2 publications

(3 citation statements)

References 24 publications

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“…The magnetic particles of ferrofluids may be superparamagnetic, when the magnetic moment is free to rotate with respect to the particle, or "blocked", when the magnetic moment is fixed in the particle. The case of superparamagnetic particles in ferrofluids has a more complicated dynamics because the magnetic moment and the particle's Euler angles are independent, but interacting, variables [4,5,6]. In this work we consider only blocked magnetic particles.…”

Section: The Equations Of Motionmentioning

confidence: 99%

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Stochastic Molecular Dynamics of colloidal particles

Scherer¹

2004

Braz. J. Phys.

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Colloidal particles move in the carrier liquid under the action of several forces and torques. When the particles carry a dipole moment, electric or magnetic, as in ferrofluids, the rotational and translational motions are coupled because the field on a particle depends on the spatial and directional distribution of the others and the force and torque on it depends on the field. Moreover, there is Brownian, as well as dissipative forces and torques on each particle. Consequently, the numerical solution of the equations of motion requires, besides the techniques of Classical Molecular Dynamics, those of Stochastic Dynamics. The algorithm is explained in some detail and applied on a typical ferrofluid. For different values of the temperature, the possibility of the formation of structures is examined.

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Section: The Equations Of Motionmentioning

confidence: 99%

“…The stochastic force, due to the collisions of the liquid's molecules with the particle, has the form α Γ(t), where α is a constant and Γ(t) is also modeled by normalized white noise, like in Eqs. (5) and (6). There is also a dissipative force −γv opposing the translational motion.…”

Section: The Equations Of Motionmentioning

confidence: 99%

Stochastic Molecular Dynamics of colloidal particles

Scherer¹

2004

Braz. J. Phys.

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Computer simulation of the stochastic dynamics of super-paramagnetic particles in ferrofluids

Scherer¹

2006

Braz. J. Phys.

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Several papers have been written on the complex problem of the stochastic dynamics of the magnetic moments of super-paramagnetic particles, simultaneously with the stochastic rotation of these colloidal particles in a ferrofluid [1][2][3]. None of these works, however, is sufficiently general and conveniently simple and clear to be used in sumulational works to appropriately describe the experimental super-paramagntetic resonance lines. We have a new proposal for the equations of rotational motion, which is appropriate for simulations. Those equations are stochastic differential equations with multiplicative noise. Therefore, they have to be interpreted as Stratonovich-Langevin equations and the roles of stochastic calculus have to be used in the simulations. For this reason we will briefly present the essence of the numerical algorithms used in the solutions of Stratonovich equations. Finally, the simulational results for the magnetic response functions, and the corresponding dynamic susceptibilities, will be shown and their consequences will be analyzed.

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Rotational dynamics of the magnetic moments in ferrofluids

Cited by 2 publications

References 24 publications

Stochastic Molecular Dynamics of colloidal particles

Stochastic Molecular Dynamics of colloidal particles

Computer simulation of the stochastic dynamics of super-paramagnetic particles in ferrofluids

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