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Volumn 41, Issue 37, 2008, Pages

Chapman-Enskog method for a phonon gas with finite heat flux

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EID: 54749102001     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/37/375502     Document Type: Article
Times cited : (26)

References (19)
  • 1
    • 54749115928 scopus 로고
    • Heat transfer and second sound in dielectrics with large drift velocities of a phonon gas
    • Nielsen H and Shklovskii B I 1969 Heat transfer and second sound in dielectrics with large drift velocities of a phonon gas Zh. Eksp. Teor. Fiz. 56 709-17
    • (1969) Zh. Eksp. Teor. Fiz. , vol.56 , pp. 709-717
    • Nielsen, H.1    Shklovskii, B.I.2
  • 2
    • 0014832883 scopus 로고
    • Phonon Boltzmann equation and second sound in solids
    • Hardy R J 1970 Phonon Boltzmann equation and second sound in solids Phys. Rev. B 2 1193-207
    • (1970) Phys. Rev. , vol.2 , Issue.4 , pp. 1193-1207
    • Hardy, R.J.1
  • 5
    • 51649180555 scopus 로고
    • Effect of normal processes on the thermal conductivity of finite insulating samples
    • Alascio B, Nazareno H and Carabelli G 1968 Effect of normal processes on the thermal conductivity of finite insulating samples Nuovo Cimento B 55 362-70
    • (1968) Nuovo Cimento , vol.55 , Issue.2 , pp. 362-370
    • Alascio, B.1    Nazareno, H.2    Carabelli, G.3
  • 6
    • 0008378212 scopus 로고
    • Second sound and related thermal conduction phenomena
    • Beck H 1975 Second sound and related thermal conduction phenomena Dynamical Properties of Solids vol 2 ed G K Horton and A A Maradudin (Amsterdam: North-Holland) pp 205-84
    • (1975) Dynamical Properties of Solids , vol.2 , pp. 205-284
    • Beck, H.1
  • 7
    • 51249175680 scopus 로고
    • Symmetric conservative form of low-temperature phonon gas hydrodynamics: I. Kinetic aspects of the theory
    • Larecki W and Piekarski S 1991 Symmetric conservative form of low-temperature phonon gas hydrodynamics: I. Kinetic aspects of the theory Nuovo Cimento D 13 31-53
    • (1991) Nuovo Cimento , vol.13 , Issue.1 , pp. 31-53
    • Larecki, W.1    Piekarski, S.2
  • 8
    • 51249168226 scopus 로고
    • Symmetric conservative form of low-temperature phonon gas hydrodynamics: II. Equations of heat transport and thermal waves in the case of linear isotropic approximation of phonon frequency spectrum
    • Larecki W 1992 Symmetric conservative form of low-temperature phonon gas hydrodynamics: II. Equations of heat transport and thermal waves in the case of linear isotropic approximation of phonon frequency spectrum Nuovo Cimento D 14 141-76
    • (1992) Nuovo Cimento , vol.14 , Issue.2 , pp. 141-176
    • Larecki, W.1
  • 9
    • 11044239409 scopus 로고
    • Thermal conductivity of perfect dielectric crystals in the absence of Umklapp processes
    • Sussmann J A and Thellung A 1963 Thermal conductivity of perfect dielectric crystals in the absence of Umklapp processes Proc. Phys. Soc. 81 1122-30
    • (1963) Proc. Phys. Soc. , vol.81 , Issue.6 , pp. 1122-1130
    • Sussmann, J.A.1    Thellung, A.2
  • 10
    • 54749109893 scopus 로고
    • Nonlinear heat transfer in dielectrics in the regime of viscous phonon drift
    • Nielsen H and Shklovskii B I 1968 Nonlinear heat transfer in dielectrics in the regime of viscous phonon drift Fiz. Tverd. Tela 10 3602-7
    • (1968) Fiz. Tverd. Tela , vol.10 , Issue.12 , pp. 3602-3607
    • Nielsen, H.1    Shklovskii, B.I.2
  • 11
    • 0000434816 scopus 로고    scopus 로고
    • Gradient expansions in kinetic theory of phonons
    • Karlin I V, Dukek G and Nonnenmacher T F 1997 Gradient expansions in kinetic theory of phonons Phys. Rev. B 55 6324-9
    • (1997) Phys. Rev. , vol.55 , Issue.10 , pp. 6324-6329
    • Karlin, I.V.1    Dukek, G.2    Nonnenmacher, T.F.3
  • 12
    • 7444271875 scopus 로고    scopus 로고
    • Central manifold and the problems of the Chapman-Enskog projection for the Boltzmann-Peierls equation
    • Zakharchenko P A and Radkevich E V 2004 Central manifold and the problems of the Chapman-Enskog projection for the Boltzmann-Peierls equation Dokl. Phys. 49 451-5
    • (2004) Dokl. Phys. , vol.49 , Issue.8 , pp. 451-455
    • Zakharchenko, P.A.1    Radkevich, E.V.2
  • 13
    • 33645699704 scopus 로고    scopus 로고
    • Navier-Stokes approximation and problems of the Chapman-Enskog projection for kinetic equations
    • Palin V V and Radkevich E V 2006 Navier-Stokes approximation and problems of the Chapman-Enskog projection for kinetic equations J. Math. Sci. 135 2721-48
    • (2006) J. Math. Sci. , vol.135 , Issue.1 , pp. 2721-2748
    • Palin, V.V.1    Radkevich, E.V.2
  • 14
    • 33645966586 scopus 로고
    • Model for lattice thermal conductivity at low temperatures
    • Callaway J 1959 Model for lattice thermal conductivity at low temperatures Phys. Rev. 113 1046-51
    • (1959) Phys. Rev. , vol.113 , Issue.4 , pp. 1046-1051
    • Callaway, J.1
  • 16
    • 84972554928 scopus 로고
    • On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws
    • Kawashima S and Shizuta Y 1988 On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws Thoku Math. J. 40 449-64
    • (1988) Thoku Math. J. , vol.40 , Issue.3 , pp. 449-464
    • Kawashima, S.1    Shizuta, Y.2
  • 17
    • 12444288058 scopus 로고    scopus 로고
    • Dissipative structure and entropy for hyperbolic systems of balance laws
    • Kawashima S and Yong W A 2004 Dissipative structure and entropy for hyperbolic systems of balance laws Arch. Ration. Mech. Anal. 174 345-64
    • (2004) Arch. Ration. Mech. Anal. , vol.174 , Issue.3 , pp. 345-364
    • Kawashima, S.1    Yong, W.A.2
  • 19
    • 0035477840 scopus 로고    scopus 로고
    • Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime
    • Agarwal R K, Yun K Y and Balakrishnan R 2001 Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime Phys. Fluids 13 3061-85
    • (2001) Phys. Fluids , vol.13 , Issue.10 , pp. 3061-3085
    • Agarwal, R.K.1    Yun, K.Y.2    Balakrishnan, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.