The magnetization of dense aggregated dipolar fluids

Sándor Nagy

doi:10.14232/analecta.2018.2.1-12

Authors

Sándor Nagy

DOI:

https://doi.org/10.14232/analecta.2018.2.1-12

Keywords:

dipolar fluids, magnetization, ferrofluids, Monte Carlo simulation

Abstract

The magnetization for dipolar fluids is studied treated separately at low and high external magnetic field. Canonical ensemble Monte Carlo simulations have been performed in dipolar hard sphere fluid in order to test these theoretical results. New expressions are introduced at low and high external field and ultimately the synthesized formula is given. The main difference in the structure of dipolar liquids at different external field is the average orientation of the formed chains. In case of infinitesimal external magnetic field there is no a well-specified direction, while at high enough external field actually the chains are parallel to this field. The present theory yields good result in the intermediate region as well where the most conspicuous failures are provided by the former theories.

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References

[1] Langevin, P.: Sur la théorie du magnétisme, Journal de Physique Théorique et Appliquée, 1905 4, 678-693
[2] Weiss, P.: L’hypothése du champ moléculaire et la propriété ferromagnétique, Journal de Physique Théorique et Appliquée, 1907 6, 661-690
[3] Pshenichnikov, A. F.; Mekhonoshin, V. V.: Equilibrium magnetization and microstructure of the system of superparamagnetic interacting particles: numerical simulation, Journal of Magnetism and Magnetic Materials, 2000 213(3), 357-369
[4] Ivanov, A. O.; Kuznetsova, O. B.: Magnetic properties of dense ferrofluids: An influence of interparticle correlations, Physical Review E, 2001 64, 041405
[5] Tani, A.; Henderson, D.; Barker, J. A.; Hecht, C. E.: Application of perturbation theory to the calculation of the dielectric constant of a dipolar hard sphere fluid, Molecular Physics, 1983 48(4), 863-869
[6] Szalai, I.; Nagy, S.; Dietrich, S.: Linear and nonlinear magnetic properties of ferrofluids, Physical Review E, 2015 92, 042314
[7] Huke, B.; Lücke, M.: Magnetization of ferrofluids with dipolar interactions: A Born-Mayer expansion, Physical Review E, 2000 62, 6875
[8] Wertheim, M. S.: Exact solution of the mean spherical model for fluids of hard spheres with permanent electric dipole moments, The Journal of Chemical Physics, 1971 55, 4291
[9] Szalai, I.; Dietrich, S.: Magnetization and susceptibility of ferrofluids, Journal of Physics: Condensed Matter, 2008 20, 204122
[10] Nagy, S.: The initial magnetic susceptibility of dense aggregated dipolar fluids, Hungarian Journal of Industry and Chemistry, Manuscript submitted for publication
[11] Allen, M. P.; Tildesley D. J.: Computer Simulation of Liquids (Clarendon Press, Oxford) 1987