Abstract
Magnetic particles freely moving in a fluid may organize themselves into dense phases, bulk clusters, or linear chains. The dynamics of particles forming a chain is analyzed theoretically taking into account the magnetic dipole interaction as well as the Van der Waals molecular interaction. The vibrational spectrum has two branches (the magnetic branch associated with the rotation of the magnetic moment of a particle and the elastic branch associated with the displacement of particles). In the case of particles with constant mass density and magnetic moment, which is interesting for applications, these two modes are in fact independent; i.e., the effects of mode hybridization are weak. However, these effects can be manifested for hollow particles. From analysis of the vibrational spectrum, the criterion for the chain stability to a transition to a denser phase is established.
Similar content being viewed by others
References
A. I. Akhiezer, V. G. Bar’yakhtar, and S. V. Peletmin- skii, Spin Waves (Nauka, Moscow, 1967; North-Holland, Amsterdam, The Netherlands, 1968).
K. P. Belov, A. K. Zvezdin, A. M. Kadomtseva, and R. Z. Levitin, Orientational Transitions in Rare-Earth Magnetic Materials (Nauka, Moscow, 1979) [in Russian].
E. A. Turov, A. V. Kolchanov, V. V. Men’shenin, I. F. Mirsaev, and V. V. Nikolaev, Symmetry and the Physical Properties of Antiferromagnets (Nauka, Moscow, 2001) [in Russian].
J. M. Luttinger and L. Tisza, Phys. Rev. 70, 954 (1946).
P. I. Belobrov, R. S. Gekht, and V. A. Ignatchenko, Sov. Phys. JETP 57(3), 636 (1983).
J. G. Brankov and D. M. Danchev, Physica A (Amsterdam) 144, 128 (1987).
S. Prakash and C. L. Henley, Phys. Rev. B: Condens. Matter 42, 6574 (1990).
V. M. Rozenbaum, V. M. Ogenko, and A. A. Chuiko, Sov. Phys.—Usp. 34(10), 883 (1991).
J. E. L. Bishop, A. Yu. Galkin, and B. A. Ivanov, Phys. Rev. B: Condens. Matter 65, 174403 (2002).
A. Yu. Galkin, B. A. Ivanov, and A. Yu. Merkulov, JETP 101(6), 1106 (2005).
A. Yu. Galkin and B. A. Ivanov, JETP Lett. 83(9), 383 (2006).
I. R. Karetnikova, I. M. Nefedov, M. V. Sapozhnikov, A. A. Fraerman, and I. A. Shereshevskii, Phys. Solid State (St. Petersburg) 43(11), 2115 (2001).
P. Politi and M. G. Pini, Phys. Rev. B: Condens. Matter 66, 214414 (2002).
A. Yu. Galkin, B. A. Ivanov, and C. E. Zaspel, Phys. Rev. B: Condens. Matter 74, 144419 (2006).
P. V. Bondarenko, A. Yu. Galkin, B. A. Ivanov, and C. E. Zaspel, Phys. Rev. B: Condens. Matter 81, 224415 (2010); P. V. Bondarenko, A. Yu. Galkin, and B. A. Ivanov, JETP 112 (6), 986 (2011).
S. V. Maleev, Sov. Phys. JETP 43(6), 1240 (1976).
P. Bruno, Phys. Rev. B: Condens. Matter 43, 6015 (1991).
B. A. Ivanov and E. V. Tartakovskaya, Phys. Rev. Lett. 77, 386 (1996).
R. Skomski, J. Phys.: Condens. Matter 15, R841 (2003).
Advanced Magnetic Nanostructures, Ed. by D. J. Sellmyer and R. Skomski (Springer, New York, United States, 2006).
M. Dvornik, P. Bondarenko, B. A. Ivanov, and V. V. Kruglyak, J. Appl. Phys. 109, 07B912 (2011).
A. A. Awad, G. R. Aranda, D. Dieleman, K. Y. Guslienko, G. N. Kakazei, B. A. Ivanov, and F. G. Aliev, Appl. Phys. Lett. 97, 132501 (2010).
V. V. Kruglyak, S. O. Demokritov, and D. Grundler, J. Phys. D: Appl. Phys. 43, 264001 (2010).
R. E. Rosensweig, Ferrohydrodynamics (Cambridge University Press, Cambridge, 1985; Mir, Moscow, 1989).
S. Y. Yang, Y. H. Chao, H. E. Horng, Chin Yin Hong, and H. C. Yang, J. Appl. Phys. 97, 093907 (2005).
Y. Zhang, L. Sun, Y. Zhai, H. B. Huang, R. S. Huang, H. X. Lu, and H. R. Zhai, J. Appl. Phys. 101, 09J109 (2007).
S.-M. Zhou, X.-T. Zhang, H.-C. Gong, B. Zhang, Z.-S. Wu, Z.-L. Du, and S.-X. Wu, J. Phys.: Condens. Matter 20, 075217 (2008).
V. Schaller, G. Wahnström, A. Sanz-Velasco, P. Enoks- son, and C. Johansson, J. Magn. Magn. Mater. 321, 1400 (2009).
R. Rungsawang, J. da Silva, C.-P. Wu, E. Sivaniah, A. Ionescu, C. H. W. Barnes, and N. J. Darton, Phys. Rev. Lett. 104, 255703 (2010).
A. Wu, P. Ou, and L. Zeng, NANO 5, 245 (2010).
R. P. Cowburn and M. E. Welland, Science (Washington) 287, 1466 (2000).
T. C. Halsey and W. Toor, Phys. Rev. Lett. 65, 2820 (1990).
J. J. Weis and D. Levesque, Phys. Rev. Lett. 71, 2729 (1993).
P. Jund, S. G. Kim, D. Tomanek, and J. Hetherington, Phys. Rev. Lett. 74, 3049 (1995).
A. Satoh, R. W. Chantrell, S. Kamiyama, and G. N. Coverdale, J. Magn. Magn. Mater. 154, 183 (1996).
A. Satoh, R. W. Chantrell, S. Kamiyama, and G. N. Coverdale, J. Colloid Interface Sci. 181, 422 (1996).
O. A. Antonyuk, V. F. Kovalenko, B. N. Moldovan, and M. V. Petrichuk, Tech. Phys. 50(6), 766 (2005).
O. A. Antonjuk, B. M. Moldovan, M. V. Petrychuk, and V. F. Kovalenko, J. Colloid Interface Sci. 296, 577 (2006).
V. F. Kovalenko, M. V. Petrychuk, B. N. Moldovan, O. A. Antonyuk, and E. F. Tkach, Funct. Mater. 13, 640 (2006).
M. Klokkenburg, R. P. A. Dullens, W. K. Kegel, B. H. Erné, and A. P. Philipse, Phys. Rev. Lett. 96, 037203 (2006).
A. Yu. Zubarev and L. Yu. Iskakova, JETP 105(5), 1018 (2007).
M. Yoon and D. Tomanek, J. Phys.: Condens. Matter 22, 455105 (2010).
M. Klokkenburg, B. H. Erné, J. D. Meedldijk, A. Wiedenmann, A. V. Petukhov, R. P. A. Dullens, and A. P. Philipse, Phys. Rev. Lett. 97, 185702 (2006).
R. Toussaint, G. Helgesen, and E. G. Flekkoy, Phys. Rev. Lett. 93, 108304 (2004).
L. D. Landau and E. M. Lifshitz, Phys. Z. Sowjetunion 8, 153 (1935); L. D. Landau, Collection of Works (Nauka, Moscow, 1969), Vol. 1, p. 128 [in Russian].
V. G. Bar’yakhtar, V. M. Loktev, and S. M. Ryabchenko, Sov. Phys. JETP 61(5), 1040 (1985).
W. Wernsdorfer, Adv. Chem. Phys. 118, 99 (2001).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Nauka, Moscow, 1986; Butterworth-Heinemann, Oxford, 1987).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.A. Dzian, B.A. Ivanov, 2012, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2012, Vol. 142, No. 5, pp. 969–981.
Rights and permissions
About this article
Cite this article
Dzian, S.A., Ivanov, B.A. Dynamics and stability of a linear cluster of spherical magnetic nanoparticles. J. Exp. Theor. Phys. 115, 854–865 (2012). https://doi.org/10.1134/S1063776112110039
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776112110039