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1
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W. Luo, S R. Nagel, T F. Rosenbaum, and R E. Rosenweig, Phys. Rev. Lett.67, 2721 (1991);
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Luo, W.1
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0001555793
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Phys. Rev. Lett.T. Jonsson, J. Mattsson, C. Djurberg, F A. Khan, P. Nordblad, and P. Svedlindh, 75, 4138 (1995).
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Jonsson, T.1
Mattsson, J.2
Djurberg, C.3
Khan, F.A.4
Nordblad, P.5
Svedlindh, P.6
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6
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0032121760
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Experimental support for uniaxial anisotropy in some nanoparticle systems is provided by recent ferromagnetic resonance studies [, and
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Experimental support for uniaxial anisotropy in some nanoparticle systems is provided by recent ferromagnetic resonance studies [F. Gazeau, J C. Bacri, F. Gendron, R. Perzynski, Yu L. Raikher, V I. Stepanov, and E. Dubois, J. Magn. Magn. Mater.186, 175 (1998);
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Gazeau, F.1
Bacri, J.C.2
Gendron, F.3
Perzynski, R.4
Raikher, Y.L.5
Stepanov, V.I.6
Dubois, E.7
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8
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0000018042
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while it is an excellent first-order description for some magnetic molecular clusters [see, for example, and
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while it is an excellent first-order description for some magnetic molecular clusters [see, for example, A L. Barra, D. Gatteschi, and R. Sessoli, Phys. Rev. B56, 8192 (1997)].
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(1997)
Phys. Rev. B
, vol.56
, pp. 8192
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Barra, A.L.1
Gatteschi, D.2
Sessoli, R.3
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9
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21144468729
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See, for example, and
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See, for example, M A. Załuska-Kotur and M. Cieplak, Europhys. Lett.23, 85 (1993);
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(1993)
Europhys. Lett.
, vol.23
, pp. 85
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Załuska-Kotur, M.A.1
Cieplak, M.2
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10
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0000894976
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J.-O. Andersson, C. Djurberg, T. Jonsson, P. Svedlindh, P. Nordblad, Phys. Rev. B56, 13 983 (1997);
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(1997)
Phys. Rev. B
, vol.56
, pp. 13 983
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O, J.1
Djurberg, C.2
Jonsson, T.3
Svedlindh, P.4
Nordblad, P.5
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11
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85038971119
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J. Phys.: Condens. Matter (to be published)
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D V. Berkov and N L. Gorn, J. Phys.: Condens. Matter (to be published).
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Berkov, D.V.1
Gorn, N.L.2
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12
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0004056428
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Pergamon Press, Oxford, and, Chap. 32
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L D. Landau and E M. Lifshitz, Statistical Physics (Part 1), 3rd ed. (Pergamon Press, Oxford, 1980), Chap. 32;
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(1980)
Statistical Physics (Part 1), 3rd ed.
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Landau, L.D.1
Lifshitz, E.M.2
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16
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85038956145
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For magnetic nanoparticles, we can write the coupling parameter (formula presented) in terms of the particle volume concentration, as (formula presented), where (formula presented) is the spontaneous magnetization of the particles and (formula presented) the maximum anisotropy field
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For magnetic nanoparticles, we can write the coupling parameter (formula presented) in terms of the particle volume concentration c as (formula presented), where (formula presented) is the spontaneous magnetization of the particles and (formula presented) the maximum anisotropy field.
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17
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42549107352
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A study of the effects of, external fields on the linear susceptibility and specific heat of noninteracting superparamagnets can be found in
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A study of the effects of longitudinal external fields on the linear susceptibility and specific heat of noninteracting superparamagnets can be found in J L. García-Palacios, Adv. Chem. Phys.112, 1 (2000).
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(2000)
Adv. Chem. Phys.
, vol.112
, pp. 1
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García-Palacios, J.L.1
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18
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0242546901
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Concerning similar approaches, Van Vleck (Ref. considered the effect of crystalline fields on interacting magnetic ions, by writing formally the observables in terms of averages of the spins in the crystal field. Then, and, in the subsequent paper made explicit Van Vleck’s calculation to get the specific heat in cubic systems
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Concerning similar approaches, Van Vleck (Ref. 3) considered the effect of crystalline fields on interacting magnetic ions, by writing formally the observables in terms of averages of the spins in the crystal field. Then M H. Hebb and E M. Purcell, in the subsequent paper [J. Chem. Phys.5, 338 (1937)], made explicit Van Vleck’s calculation to get the specific heat in cubic systems;
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(1937)
J. Chem. Phys.
, vol.5
, pp. 338
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Hebb, M.H.1
Purcell, E.M.2
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19
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17144435731
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Recently, and, performed a “Born–Mayer” expansion to study the field-dependent magnetization of a ferrofluid, which could be considered as a special application of thermodynamic perturbation theory. As the magnetic anisotropy was not included, their noninteracting distribution corresponded to the Zeeman energy; in our notation, they averaged over (formula presented)
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Recently, B. Huke and M. Lücke, Phys. Rev. E62, 6875 (2000), performed a “Born–Mayer” expansion to study the field-dependent magnetization of a ferrofluid, which could be considered as a special application of thermodynamic perturbation theory. As the magnetic anisotropy was not included, their noninteracting distribution corresponded to the Zeeman energy; in our notation, they averaged over (formula presented).
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(2000)
Phys. Rev. E
, vol.62
, pp. 6875
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Huke, B.1
Lücke, M.2
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21
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85038900650
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The functions (formula presented) and (formula presented) in the generic expansion (2.11) are related with (formula presented) and (formula presented) [Eqs. (2.15) and (2.16)] by (formula presented) (formula presented)
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The functions (formula presented) and (formula presented) in the generic expansion (2.11) are related with (formula presented) and (formula presented) [Eqs. (2.15) and (2.16)] by (formula presented) (formula presented)
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22
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34250939145
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I. Waller, Z. Phys.104, 132 (1936).
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(1936)
Z. Phys.
, vol.104
, pp. 132
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Waller, I.1
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23
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85038906721
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Equations (3.20) and (3.21) can be obtained from the corresponding approximate expansions of (formula presented) and (formula presented) derived in Appendix A of Ref
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Equations (3.20) and (3.21) can be obtained from the corresponding approximate expansions of (formula presented) and (formula presented) derived in Appendix A of Ref. 10.
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26
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33744716816
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In large systems the nonvanishing sums take values (formula presented), 14.5, and 14.5 for simple cubic, bcc, and fcc lattices while (formula presented) (sc), 3.7 (bcc), and 4.3 (fcc)
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In large systems the nonvanishing sums take values (formula presented), 14.5, and 14.5 for simple cubic, bcc, and fcc lattices [J A. Pople, Philos. Mag.44, 1276 (1953)], while (formula presented) (sc), 3.7 (bcc), and 4.3 (fcc).
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(1953)
Philos. Mag.
, vol.44
, pp. 1276
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Pople, J.A.1
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27
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85038902128
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For example, in the continuous limit (formula presented), where (formula presented) is the demagnetization factor along the, axis, which takes the value (formula presented) in a sphere
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For example, in the continuous limit (formula presented), where (formula presented) is the demagnetization factor along the z axis, which takes the value (formula presented) in a sphere.
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29
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85038916876
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The specific heat does not attain the value (formula presented) at (formula presented) because the spins are classical
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The specific heat does not attain the value (formula presented) at (formula presented) because the spins are classical.
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30
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0003979651
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Benjamin/Cummings, Menlo Park, CA, and
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J. Mathews and R L. Walker, Mathematical Methods of Physics, 2nd ed. (Benjamin/Cummings, Menlo Park, CA, 1970).
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(1970)
Mathematical Methods of Physics, 2nd ed.
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Mathews, J.1
Walker, R.L.2
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31
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0003474751
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Cambridge University Press, New York, and
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W H. Press, S A. Teukolsky, W T. Vetterling, and B P. Flannery, Numerical Recipes, 2nd ed. (Cambridge University Press, New York, 1992).
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(1992)
Numerical Recipes, 2nd ed.
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Press, W.H.1
Teukolsky, S.A.2
Vetterling, W.T.3
Flannery, B.P.4
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33
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0000665516
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Equation (A8) is the zero-field case (formula presented) of Eq. (3.9) in, and, where their (formula presented) corresponds to (formula presented) here
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Equation (A8) is the zero-field case (formula presented) of Eq. (3.9) in Yu. P. Kalmykov and W T. Coffey, Phys. Rev. B56, 3325 (1997), where their (formula presented) corresponds to (formula presented) here.
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(1997)
Phys. Rev. B
, vol.56
, pp. 3325
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Yu, P.1
Coffey, W.T.2
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