Fourth and fifth virial coefficients and thermodynamic properties of the dipolar hard sphere fluids in zero external magnetic field

Vtulkina, Ekaterina D.; Elfimova, Ekaterina A.

doi:10.1016/j.fluid.2016.02.032

Cited by 4 publications

(12 citation statements)

References 37 publications

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“…Figure 2 shows the EOS for DHS obtained from current simulations (blue triangle data), from previous Monte Carlo simulations [14] (red circle data) and the theoretical expression of EOS in Ref. [14].…”

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confidence: 96%

“…We do this by explicitly including the dipole-dipole interaction into the radial distribution function (RDF). We calculate the RDF using the method of [10][11][12][13] from the Helmholtz free energy of DHS derived by Elfimova et al [14]. In order to verify our theoretical results, we compare them to MD simulation of dipolar pseudo hard spheres.…”

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confidence: 97%

“…In recent years, considerable effort has been made on development of the theoretical expression for the equilibrium properties of DHS [14,[27][28][29][30][31][32]. The Helmholtz free energy of DHS can be written relative to that for a regular HS fluid F HS as…”

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confidence: 99%

“…The result converges faster, since the logarithm of a polynomial is less sensitive to the truncation of the polynomial. The excess free energy is then written as [14]…”

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confidence: 99%

“…The coefficients I n are obtained from the regular virial coefficients for DHS. Elfimova et al [14] keep up to the fifth virial coefficient, corresponding to n ¼ 4 and give explicit expressions for I 1;2;3;4 . This theory accurately captures the free energy and compares favorably with computer simulation for λ ≤ 4, even at high value of the particle volume fraction ξ ≤ 0.5.…”

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confidence: 99%

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Kinetic Theory and Shear Viscosity of Dense Dipolar Hard Sphere Liquids

Pousaneh¹,

Wijn²

2020

Phys. Rev. Lett.

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Transport properties of dense fluids are fundamentally challenging, because the powerful approaches of equilibrium statistical physics cannot be applied. Polar fluids compound this problem, because the long-range interactions preclude the use of a simple effective diameter approach based solely on hard spheres. Here, we develop a kinetic theory for dipolar hard-sphere fluids that is valid up to high density. We derive a mathematical approximation for the radial distribution function at contact directly from the equation of state, and use it to obtain the shear viscosity. We also perform molecular-dynamics simulations of this system and extract the shear viscosity numerically. The theoretical results compare favorably to the simulations.

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confidence: 96%

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confidence: 97%

mentioning

confidence: 99%

“…The result converges faster, since the logarithm of a polynomial is less sensitive to the truncation of the polynomial. The excess free energy is then written as [14]…”

mentioning

confidence: 99%

mentioning

confidence: 99%

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Kinetic Theory and Shear Viscosity of Dense Dipolar Hard Sphere Liquids

Pousaneh¹,

Wijn²

2020

Phys. Rev. Lett.

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The initial magnetic susceptibility of high-concentrated, polydisperse ferrofluids: Universal theoretical expression

Solovyova

Elfimova

2020

Journal of Magnetism and Magnetic Materials

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Sedimentation equilibrium of magnetic nanoparticles with strong dipole-dipole interactions

Кузнецов

Pshenichnikov

2017

Phys. Rev. E

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Langevin dynamics simulation is used to study the suspension of interacting magnetic nanoparticles (dipolar spheres) in a zero applied magnetic field and in the presence of a gravitational (centrifugal) field. A particular emphasis is placed on the equilibrium vertical distribution of particles in the infinite horizontal slab. An increase in the dipolar coupling constant λ (the ratio of dipole-dipole interaction energy to thermal energy) from zero to seven units causes an increase in the particle segregation coefficient by several orders of magnitude. The effect of anisotropic dipole-dipole interactions on the concentration profile of particles is the same as that of the isotropic van der Waals attraction modeled by the Lennard-Jones potential. In both cases, the area with a high-density gradient separating the area with high and low particle concentration is formed on the profiles. Qualitative difference between two potentials manifests itself only in the fact that in the absence of a gravitational field the dipole-dipole interactions do not lead to the "gas-liquid" phase transition: no separation of the system into weakly and highly concentrated phases is observed. At high particle concentration and at large values of λ, the orientational ordering of magnetic dipoles takes place in the system. Magnetic structure of the system strongly depends on the imposed boundary conditions. Spontaneous magnetization occurs in the infinite horizontal slab (i.e., in the rectangular cell with two-dimensional periodic boundary conditions). Replacement of the infinite slab by the finite-size hard-wall vertical cylinder leads to the formation of azimuthal (vortex-like) order. The critical values of the coupling constant corresponding to the transition into an ordered state are very close for two geometries.

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Fourth and fifth virial coefficients and thermodynamic properties of the dipolar hard sphere fluids in zero external magnetic field

Cited by 4 publications

References 37 publications

Kinetic Theory and Shear Viscosity of Dense Dipolar Hard Sphere Liquids

Kinetic Theory and Shear Viscosity of Dense Dipolar Hard Sphere Liquids

The initial magnetic susceptibility of high-concentrated, polydisperse ferrofluids: Universal theoretical expression

Sedimentation equilibrium of magnetic nanoparticles with strong dipole-dipole interactions

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