On the hydrodynamic theory of a magnetic liquid I. General description

Mrygold, I.M; Токарчук, М. В.; Folk, R.

doi:10.1016/0378-4371(95)00232-v

Cited by 26 publications

(30 citation statements)

References 28 publications

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“…This is contrary to the case of simple Lennard-Jones fluids, where the Markovian approximation has proved to be a reasonable route for a quantitative description of transport coefficients [26]. This approximation has also been successfully used to study extended hydrodynamic, dielectric and magnetic properties in simple liquid mixtures [27,28], dipolar systems [29,30], and spin fluids [31][32][33]. Due to a very complicated interplay between the hydrodynamic variables and those associated with internal degrees of freedom, the description of molecular liquids requires a more sophisticated approximation.…”

Section: Introductionmentioning

confidence: 99%

Wavevector- and frequency-dependent shear viscosity of water: the modified collective mode approach and molecular dynamics calculations

Omelyan¹,

Mryglod²,

Токарчук³

2005

Condens. Matter Phys.

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The transverse momentum time autocorrelation functions and wavevectorand frequency-dependent shear viscosity are calculated for an interaction site model of water using a modified collective mode approach and molecular dynamics simulations. The modified mode approach is based on a formulation which consistently takes into account non-Markovian effects into the kinetic memory kernels. As is demonstrated by comparing the theory results with the molecular dynamics data, the entire frequency dependence of the shear viscosity can be reproduced quantitatively over the whole wavelength range in terms of six generalized collective modes employing the kinetic memory kernel in the non-Markovian approximation of the third order. It is also shown that the results corresponding to the exact atomic and abbreviated molecular descriptions may differ considerably. In the infinite wavevector regime the dynamic correlations are completely determined by a single free motion of the molecules.

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Section: Introductionmentioning

confidence: 99%

Wavevector- and frequency-dependent shear viscosity of water: the modified collective mode approach and molecular dynamics calculations

Omelyan¹,

Mryglod²,

Токарчук³

2005

Condens. Matter Phys.

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“…Considering a GMMM in the hydrodynamic state, for small deviations of the system from an equilibrium, we can write the equations of molecular hydrodynamics in the matrix form [17] as follows:…”

Section: Equations Of Molecular Hydrodynamicsmentioning

confidence: 99%

“…The next two parameters are the densities of total momentump(k) and the enthalpyĥ(k) which is related to the energy density [17]. The last portion of the parameters of the abbreviated description which correspond to the spin subsystem, can be chosen as densities of partial magnetizationsŝ 1 (k), .…”

Section: Equations Of Molecular Hydrodynamicsmentioning

confidence: 99%

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Hydrodynamic Excitation Spectrum and Time Correlation Functions for the Multicomponent Mixtures of Magnetic and Nonmagnetic Particles

Batsevych¹,

Mryglod²,

Rudavskii³

et al. 2001

Condens. Matter Phys.

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The hydrodynamics of a multicomponent mixture of magnetic and nonmagnetic particles is investigated. The hydrodynamic modes spectrum is obtained. It is shown that two collective modes are responsible for the propagation of sound while the other ones ( j − 2 modes, where j is determined by the number of additive integrals of motion) are purely diffusive. The analytical expressions for all the hydrodynamic time correlation functions are derived and written via the well-defined thermodynamical quantities and transport coefficients of the system. Based on this, the expressions for the dynamical structure factors for a binary magnetic mixture in the paramagnetic state and for a three-component nonmagnetic mixture are derived.

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“…In equations (30) and (31) we have already used the symmetry properties of the Onsager coefficients. Linearizing the hydrodynamic equations about the mean valuess,m z ,ρ and j = 0 we obtain,…”

Section: -5mentioning

confidence: 99%