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Interparticle correlations in the simple cubic lattice of ferroparticles: Theory and computer simulations

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  • Solovyova, Anna Yu.
  • Kuznetsov, Andrey A.
  • Elfimova, Ekaterina A.

Abstract

Anisotropic interparticle correlations in the simple cubic lattice of single-domain ferroparticles (SCLF) are studied using both theory and computer simulation. The theory is based on the Helmholtz free energy expansion like classical virial series up to the second virial coefficient. The analytical formula for the Helmholtz free energy is incorporated in a logarithmic form to minimize the effects of series truncation. The new theoretical approach, including discrete summation over lattice nodes coordinates, is compared critically against the classical virial expansion of the Helmholtz free energy for the dipolar hard sphere fluid; the main differences between the Helmholtz free energy of SCLF and dipolar hard sphere fluid are discussed. The theoretical results for the Helmholtz free energy, the magnetization, and the initial magnetic susceptibility of the SCLF are compared against Molecular Dynamic simulation data. In all cases, theoretical predictions using logarithmic form of the Helmholtz free energy are seen to be superior, but they only have an applicability range of the effective dipolar coupling constant λe<1.5. For highest values of λe, the structural transition of the magnetic dipoles in SCLF is observed in Molecular Dynamic simulation. It has been shown that for λe≳2, an antiferromagnetic order appears in the system.

Suggested Citation

  • Solovyova, Anna Yu. & Kuznetsov, Andrey A. & Elfimova, Ekaterina A., 2020. "Interparticle correlations in the simple cubic lattice of ferroparticles: Theory and computer simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    • Handle: RePEc:eee:phsmap:v:558:y:2020:i:c:s0378437120304775
    DOI: 10.1016/j.physa.2020.124923
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    References listed on IDEAS

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    1. Vanhaelen, Quentin, 2018. "Entropy production, thermodynamic fluxes and transport coefficients of an interface between two electromagnetic fluids with spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 949-968.
    2. Zubarev, A.Yu. & Iskakova, L.Yu. & Abu-Bakr, A.F., 2017. "Magnetic hyperthermia in solid magnetic colloids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 59-66.
    3. Zubarev, Andrey & Chirikov, Dmitry & Stepanov, Gennady & Borin, Dmitry & Lopez-Lopez, M.T., 2018. "On the theory of hysteretic magnetostriction of soft ferrogels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 498(C), pages 86-95.
    4. Snarskii, Andrei A. & Zorinets, Denis & Shamonin, Mikhail & Kalita, Viktor M., 2019. "Theoretical method for calculation of effective properties of composite materials with reconfigurable microstructure: Electric and magnetic phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
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