Thermodynamics of ferrofluids in applied magnetic fields / Elfimova E.A., Ivanov A.O., Camp P.J. // Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. - 2013. - V. 88, l. 4.

ISSN:

15393755

Type:

Article

Abstract:

The thermodynamic properties of ferrofluids in applied magnetic fields are examined using theory and computer simulation. The dipolar hard sphere model is used. The second and third virial coefficients (B2 and B3) are evaluated as functions of the dipolar coupling constant λ, and the Langevin parameter α. The formula for B3 for a system in an applied field is different from that in the zero-field case, and a derivation is presented. The formulas are compared to results from Mayer-sampling calculations, and the trends with increasing λ and α are examined. Very good agreement between theory and computation is demonstrated for the realistic values λ≤2. The analytical formulas for the virial coefficients are incorporated in to various forms of virial expansion, designed to minimize the effects of truncation. The theoretical results for the equation of state are compared against results from Monte Carlo simulations. In all cases, the so-called logarithmic free energy theory is seen to be superior. In this theory, the virial expansion of the Helmholtz free energy is re-summed in to a logarithmic function. Its success is due to the approximate representation of high-order terms in the virial expansion, while retaining the exact low-concentration behavior. The theory also yields the magnetization, and a comparison with simulation results and a competing modified mean-field theory shows excellent agreement. Finally, the putative field-dependent critical parameters for the condensation transition are obtained and compared against existing simulation results for the Stockmayer fluid. Dipolar hard spheres do not undergo the transition, but the presence of isotropic attractions, as in the Stockmayer fluid, gives rise to condensation even in zero field. A comparison of the relative changes in critical parameters with increasing field strength shows excellent agreement between theory and simulation, showing that the theoretical treatment of the dipolar interactions is robust. © 2013 American Physical Society.

Author keywords:

Index keywords:

Applied magnetic fields; Condensation transition; Dipolar hard spheres; Dipolar interaction; Logarithmic functions; Modified mean fields; Theoretical treatments; Third virial coefficients; Computer si

DOI:

10.1103/PhysRevE.88.042310

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https://www.scopus.com/inward/record.uri?eid=2-s2.0-84886647760&doi=10.1103%2fPhysRevE.88.042310&partnerID=40&md5=4787dc795c8fcf0040cadd49fa25427c

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Поле	Значение
Art. No.	042310
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84886647760&doi=10.1103%2fPhysRevE.88.042310&partnerID=40&md5=4787dc795c8fcf0040cadd49fa25427c
Affiliations	Institute of Mathematics and Computer Sciences, Ural Federal University, 51 Lenin Avenue, Ekaterinburg 620000, Russian Federation; School of Chemistry, University of Edinburgh, West Mains Road, Edinburgh EH9 3JJ, United Kingdom
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Correspondence Address	Elfimova, E.A.; Institute of Mathematics and Computer Sciences, Ural Federal University, 51 Lenin Avenue, Ekaterinburg 620000, Russian Federation
CODEN	PLEEE
Language of Original Document	English
Abbreviated Source Title	Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
Source	Scopus