One-dimensional dynamics of lattice thermal transport

Journal of Physics Condensed Matter

Volumn 9, Issue 49, 1997, Pages 10867-10879

  Frizzera, W ^a   Viliani, G ^a   Montagna, M ^a   Monteil, A ^b   Capobianco, J A ^c  

^a UNIVERSITY OF TRENTO   (Italy)

^b UNIVERSITÉ D'ANGERS   (France)

^c Dept of Electrical and Computer Engineering   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0343723657     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/9/49/007     Document Type: Article

References (33)

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29. An analogous calculation based on solution of the covariance matrix has been carried out by Nakazawa for the linear harmonic ordered chain with free boundary conditions; see Nakazawa H 1968 Prog. Theor. Phys. 39 236 Nakazawa H 1970 Prog. Theor. Phys. Suppl. 45 231 Nakazawa showed that in this case the temperature profile is constant along the chain except for the end masses. In any case, for both fixed and free ends a uniform local temperature appears away from the boundaries, which is usually interpreted as indicating an infinite thermal conductivity of these systems.
30. An analogous calculation based on solution of the covariance matrix has been carried out by Nakazawa for the linear harmonic ordered chain with free boundary conditions; see Nakazawa H 1968 Prog. Theor. Phys. 39 236 Nakazawa H 1970 Prog. Theor. Phys. Suppl. 45 231 Nakazawa showed that in this case the temperature profile is constant along the chain except for the end masses. In any case, for both fixed and free ends a uniform local temperature appears away from the boundaries, which is usually interpreted as indicating an infinite thermal conductivity of these systems.
31. i in equation (27).
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33. t because the signs of the eigenvectors are arbitrary.