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Volumn 64, Issue 17, 2001, Pages

Thermodynamic perturbation theory for dipolar superparamagnets

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ARTICLE; CALCULATION; CHAOTIC DYNAMICS; DIPOLE; HEAT; HIGH TEMPERATURE; MAGNET; MATHEMATICAL MODEL; TEMPERATURE DEPENDENCE; THEORY; THERMODYNAMICS;

EID: 4744344175     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.174416     Document Type: Article
Times cited : (37)

References (35)
  • 6
    • 0032121760 scopus 로고    scopus 로고
    • Experimental support for uniaxial anisotropy in some nanoparticle systems is provided by recent ferromagnetic resonance studies [, and
    • 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);
    • (1998) J. Magn. Magn. Mater. , vol.186 , pp. 175
    • Gazeau, F.1    Bacri, J.C.2    Gendron, F.3    Perzynski, R.4    Raikher, Y.L.5    Stepanov, V.I.6    Dubois, E.7
  • 8
    • 0000018042 scopus 로고    scopus 로고
    • while it is an excellent first-order description for some magnetic molecular clusters [see, for example, and
    • 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)].
    • (1997) Phys. Rev. B , vol.56 , pp. 8192
    • Barra, A.L.1    Gatteschi, D.2    Sessoli, R.3
  • 11
    • 85038971119 scopus 로고    scopus 로고
    • J. Phys.: Condens. Matter (to be published)
    • D V. Berkov and N L. Gorn, J. Phys.: Condens. Matter (to be published).
    • Berkov, D.V.1    Gorn, N.L.2
  • 16
    • 85038956145 scopus 로고    scopus 로고
    • 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
    • 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.
  • 17
    • 42549107352 scopus 로고    scopus 로고
    • A study of the effects of, external fields on the linear susceptibility and specific heat of noninteracting superparamagnets can be found in
    • 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).
    • (2000) Adv. Chem. Phys. , vol.112 , pp. 1
    • García-Palacios, J.L.1
  • 18
    • 0242546901 scopus 로고
    • 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
    • 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;
    • (1937) J. Chem. Phys. , vol.5 , pp. 338
    • Hebb, M.H.1    Purcell, E.M.2
  • 19
    • 17144435731 scopus 로고    scopus 로고
    • 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)
    • 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).
    • (2000) Phys. Rev. E , vol.62 , pp. 6875
    • Huke, B.1    Lücke, M.2
  • 21
    • 85038900650 scopus 로고    scopus 로고
    • 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)
    • 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)
  • 22
  • 23
    • 85038906721 scopus 로고    scopus 로고
    • 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
    • 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.
  • 26
    • 33744716816 scopus 로고
    • 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)
    • 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).
    • (1953) Philos. Mag. , vol.44 , pp. 1276
    • Pople, J.A.1
  • 27
    • 85038902128 scopus 로고    scopus 로고
    • 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
    • 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.
  • 29
    • 85038916876 scopus 로고    scopus 로고
    • The specific heat does not attain the value (formula presented) at (formula presented) because the spins are classical
    • The specific heat does not attain the value (formula presented) at (formula presented) because the spins are classical.
  • 33
    • 0000665516 scopus 로고    scopus 로고
    • Equation (A8) is the zero-field case (formula presented) of Eq. (3.9) in, and, where their (formula presented) corresponds to (formula presented) here
    • 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.
    • (1997) Phys. Rev. B , vol.56 , pp. 3325
    • Yu, P.1    Coffey, W.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.