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Volumn 68, Issue 4 1, 2003, Pages 411081-4110813

Generalizations of the Bruggeman equation and a concept of shape-distributed particle composites

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY DISSIPATION; INTERFACES (MATERIALS); MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PHASE TRANSITIONS; THERMAL CONDUCTIVITY; TRANSPORT PROPERTIES;

EID: 0346304818     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review
Times cited : (80)

References (132)
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    • M.I. Strashnikova, V.L. Voznyi, V.Ya. Reznichenko, and V.Ya. Gayvoronskii, Zh. Eksp. Teor. Fiz. 120, 409 (2001) [J. Exp. Theor. Phys. 93, 363 (2001)].
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    • Electrical Transport and Optical Properties of Inhomogeneous Media, edited by J.C. Garland and D.B. Tanner, AIP, New York
    • R. Landauer, in Electrical Transport and Optical Properties of Inhomogeneous Media, edited by J.C. Garland and D.B. Tanner, AIP Conf. Proc. No. 40 (AIP, New York, 1978), pp. 2-43.
    • (1978) AIP Conf. Proc. , vol.40 , pp. 2-43
    • Landauer, R.1
  • 72
    • 33645085259 scopus 로고    scopus 로고
    • note
    • Strictly speaking, the geometry corresponding to this case is anisotropic. So it would be more correct to say that Eqs. (4) and (5) give a diagonal component of the effective conductivity [65]. However, a formal transfer to the isotropic case is possible if all (diagonal) components of the effective conductivity tensor are considered to be signified in the same manner.
  • 77
    • 33645082899 scopus 로고
    • Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, edited by M. Abramovitz and I.A. Stegun, U.S. GPO, Washington, DC
    • F. Oberhettinger, in Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Natl. Bur. Stand. Appl. Math. Ser. No. 53, edited by M. Abramovitz and I.A. Stegun, (U.S. GPO, Washington, DC, 1964).
    • (1964) Natl. Bur. Stand. Appl. Math. Ser. , vol.53
    • Oberhettinger, F.1
  • 99
    • 33645075694 scopus 로고    scopus 로고
    • note
    • The Potts fluid is defined as a system of interacting s-state spins which are free to move in the continuum. In its turn, a pair-spin interaction is denned via the probability of disconnection.
  • 121
    • 14744304914 scopus 로고    scopus 로고
    • Generally speaking, even for 3D hard (nonoverlapping) identical particles the higher bound of the percolation threshold can exceed 1/2. Obviously, it corresponds to close packing of the particles. It is of interest that even for particles of the simplest (spherical) shape there is no consensus on what is the random close packing value [see, e.g., S. Torquato, T.M. Truskett, and P.G. Debenedetti, Phys. Rev. Lett. 84, 2064 (2000)]. As for ellipsoidal particles, they can form packing with a degree of orientational order [see B.J. Buchalter and R.M. Bradley, Europhys. Lett. 26, 159 (1994)]. This fact obviously complicates determining the percolation threshold higher bound.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 2064
    • Torquato, S.1    Truskett, T.M.2    Debenedetti, P.G.3
  • 122
    • 52449096371 scopus 로고
    • Generally speaking, even for 3D hard (nonoverlapping) identical particles the higher bound of the percolation threshold can exceed 1/2. Obviously, it corresponds to close packing of the particles. It is of interest that even for particles of the simplest (spherical) shape there is no consensus on what is the random close packing value [see, e.g., S. Torquato, T.M. Truskett, and P.G. Debenedetti, Phys. Rev. Lett. 84, 2064 (2000)]. As for ellipsoidal particles, they can form packing with a degree of orientational order [see B.J. Buchalter and R.M. Bradley, Europhys. Lett. 26, 159 (1994)]. This fact obviously complicates determining the percolation threshold higher bound.
    • (1994) Europhys. Lett. , vol.26 , pp. 159
    • Buchalter, B.J.1    Bradley, R.M.2
  • 123
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    • Q. Xue, Physica B 325, 195 (2003).
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    • Xue, Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.