Free energy of dipolar hard spheres: The virial expansion under the presence of an external magnetic field / Elfimova Ekaterina A.,Karavaeva Tatyana E.,Ivanov Alexey O. // PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS. - 2014. - V. 415, l. . - P. 210-219.

ISSN/EISSN:

0378-4371 / 1873-2119

Type:

Article

Abstract:

A method for calculation of the free energy of dipolar hard spheres under the presence of an applied magnetic field is presented. The method is based on the virial expansion in terms of density as well as the dipolar coupling constant lambda, and it uses diagram technique. The formulas and the diagrams, needed to calculate the second By and third B-3 virial coefficients, are derived up to the order of similar to lambda(3), and compared to the zero-field case. The formula for B-2 is the same as in the zero-field case; the formula for B-3, however, is different in an applied field, and a derivation is presented. This is a surprising result which is not emphasized in standard texts, but which has been noticed before in the virial expansion for flexible molecules (Caracciolo et al., 2006; Caracciolo et al., 2008). To verify the correctness of the obtained formulas, B-2 and B-3 were calculated within the accuracy of lambda(2), which were applied to initial magnetic susceptibility. The obtained expression fully coincides with the well-known theories (Morozov and Lebedev, 1990; Huke and Lucke, 2000; Ivanov and Kuznetsova, 2001), which used different methods to calculate the initial magnetic susceptibility. (C) 2014 Elsevier B.V. All rights reserved.

Author keywords:

Dipolar hard spheres; Virial coefficients; Diagram technique; Free energy; Magnetic field; Initial magnetic susceptibility FERROFLUIDS

DOI:

10.1016/j.physa.2014.08.002

Web of Science ID:

ISI:000343850400020

Соавторы в МНС:

Другие поля

Поле	Значение
Month	DEC 1
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
EISSN	1873-2119
Keywords-Plus	FERROFLUIDS
Research-Areas	Physics
Web-of-Science-Categories	Physics, Multidisciplinary
Author-Email	Ekaterina.Elfimova@urfu.ru
ResearcherID-Numbers	Ivanov, Alexey/E-4442-2011 lotfollahi, zahra/A-6419-2015 Elfimova, Ekaterina/P-5003-2016
ORCID-Numbers	Ivanov, Alexey/0000-0001-8239-4039 Elfimova, Ekaterian/0000-0002-8941-8184
Funding-Acknowledgement	Ministry of Education and Science of the Russian Federation {[}N 3.12.2014/K, N 02.A03.21.0006]
Funding-Text	The research is supported by the Ministry of Education and Science of the Russian Federation grant N 3.12.2014/K and contract N 02.A03.21.0006 from 27.03.2013.
Number-of-Cited-References	23
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	13
Journal-ISO	Physica A
Doc-Delivery-Number	AR8UT