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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.…”

confidence: 99%

“…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.…”

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.…”

confidence: 99%

“…
…”

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.

mentioning

confidence: 99%