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Ferrofluids are a synthetic magnetic colloid consisting of magnetized nanoparticles surrounded by a repulsive surfactant layer. When subjected to an external magnetic field the ferrofluid acquires a macroscopic magnetization density which…

Fluid Dynamics · Physics 2023-01-18 Dylan Reynolds , Gustavo M. Monteiro , Sriram Ganeshan

The longitudinal relaxation time of the magnetization of a system of two exchange coupled spins subjected to a strong magnetic field is calculated exactly by averaging the stochastic Gilbert-Landau-Lifshitz equation for the magnetization,…

Statistical Mechanics · Physics 2009-11-11 S. V. Titov , H. Kachkachi , Yu. P. Kalmykov , W. T. Coffey

The concept of magnetic connections is extended to non-ideal relativistic magnetohydrodynamical plasmas. Adopting a general set of equations for relativistic magnetohydrodynamics including thermal-inertial, thermal electromotive, Hall and…

Plasma Physics · Physics 2015-05-05 Felipe A. Asenjo , Luca Comisso

Ferrofluids, composed of magnetic nanoparticles suspended in a non-magnetic carrier liquid, have attracted considerable attention since their discovery in the 1960s. Their combination of liquid and magnetic properties gives rise to complex…

We present a mesoscopic approach to analyze the dynamics of a single magnetic dipole under the influence of an oscillating magnetic field, based on the formulation of a Fokker-Planck equation. The dissipated power and the viscosity of a…

Condensed Matter · Physics 2016-09-07 A. Perez Madrid , T. Alarcon , J. M. G. Vilar , J. M. Rubi

We develop a multiscale approach to describe the behavior of a suspension of solid magnetizable particles in a viscous non-conducting fluid in the presence of an externally applied magnetic field. By upscaling the quasi-static Maxwell…

Analysis of PDEs · Mathematics 2020-12-02 Grigor Nika , Bogdan Vernescu

We analyze the influence of the magnetic field in the convexity properties of the relativistic magnetohydrodynamics system of equations. To this purpose we use the approach of Lax, based on the analysis of the linearly degenerate/genuinely…

General Relativity and Quantum Cosmology · Physics 2015-06-24 José-María Ibáñez , Isabel Cordero-Carrión , Miguel-Ángel Aloy , José-María Martí , Juan-Antonio Miralles

The joint magnetic and mechanical motion of a ferromagnetic nanoparticle in a viscous fluid is considered within the dynamical approach. The equation based on the total momentum conservation law is used for the description of the mechanical…

Other Condensed Matter · Physics 2018-04-03 T. V. Lyutyy , O. M. Hryshko , A. A. Kovner

For ferrofluids that are described by a system of hard spheres interacting via dipolar forces we evaluate the magnetization as a function of the internal magnetic field with a Born--Mayer technique and an expansion in the dipolar coupling…

Soft Condensed Matter · Physics 2016-08-15 B. Huke , M. Lücke

In general, Maxwell's equations require that a wave of magnetic field be accompanied by a wave of electric field, and vice versa. In magnetic media it is possible to have waves of magnetization with negligible electric field. We discuss an…

Classical Physics · Physics 2007-05-23 Kirk T. McDonald

We investigate the space-time dependence of electromagnetic fields produced by charged participants in an expanding fluid. To address this problem, we need to solve the Maxwell's equations coupled to the hydrodynamics conservation equation,…

High Energy Physics - Theory · Physics 2023-11-23 Ashutosh Dash , Ankit Kumar Panda

The effect of long range dipole-dipole interactions on the thermal fluctuations of the magnetization of an assembly of single-domain ferromagnetic particles is considered. If orientational correlations between the particles are neglected,…

Statistical Mechanics · Physics 2019-02-05 Pierre-Michel Déjardin

We have studied the relaxation and transport properties of a ferrofluid in an elongational flow. These properties are influenced by the bistable nature of the potential energy. Bistability comes from the irrotational character of the flow…

Condensed Matter · Physics 2009-10-30 T. Alarcon , A. Perez-Madrid , J. M. Rubi

Renormalized viscosity, renormalized resistivity, and various energy fluxes are calculated for helical magnetohydrodynamics using perturbative field theory. The calculation is to first-order in perturbation. Kinetic and magnetic helicities…

Chaotic Dynamics · Physics 2008-11-26 Mahendra K. Verma

The hydrodynamic model including the spin degree of freedom and the electromagnetic field was discussed. In this derivation, we applied electromagnetism for macroscopic medium proposed by Minkowski. For the equation of motion of spin, we…

Fluid Dynamics · Physics 2014-06-06 T. Koide

A new theory for the dynamics of the magnetic particles and their magnetic moments in ferrofluids is developed. Based on a generalized Lagrangian formulation for the equations of motion of the colloidal particle, we introduce its…

Statistical Mechanics · Physics 2007-05-23 Claudio Scherer , Hans-Georg Matuttis

The equilibrium magnetization of concentrated ferrofluids described by a system of polydisperse dipolar hard spheres is calculated as a function of the internal magnetic field using the Born--Mayer or cluster expansion technique. This paper…

Statistical Mechanics · Physics 2007-05-23 B. Huke , M. Luecke

In this work, we first derive the evolution equation for the general energy-momentum moment of $\delta f$, where $\delta f$ is the deviation from the local equilibrium phase space density. We then introduce a relativistic extension of…

Nuclear Theory · Physics 2024-08-21 Dasen Ye , Sangyong Jeon , Charles Gale

We study a variant of the well known Maxwell model for viscoelastic fluids, namely we consider the Maxwell fluid with viscosity and relaxation time depending on the pressure. Such a model is relevant for example in modelling behaviour of…

Numerical Analysis · Computer Science 2016-08-14 Satish Karra , Vít Průša , K. R. Rajagopal

The strong coupling between magnetism and ferroelectricity was found in rare earth manganites, where the electric polarization could be induced by special magnetic ordering. There is no theoretical model that would allow us to study the…

Materials Science · Physics 2024-03-14 Mariya Iv. Trukhanova , Pavel A. Andreev , Yuri N. Obukhov