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10. References
International Technology Roadmap for Semiconductors, http://pubic.itrs.net/.
Asheghi, M., Y.K. Leung, S.S. Wong, and K.E. Goodson, Phonon-Boundary Scattering in Thin Silicon Layers. Applied Physics Letters, 1997. 71(13): p. 1798–1800.
Asheghi, M., M.N. Touzelbaev, K.E. Goodson, Y.K. Leung, and S.S. Wong, Temperature-Dependent Thermal Conductivity of Single-Crystal Silicon Layers in SOI Substrates. Journal of Heat Transfer, 1998. 120: p. 30–36.
Chen, G., Micro and Nanoscale Thermal Phenomena in Photonic Devices, in Annual Review of Heat Transfer. 1996. p. 1–57.
Chen, G., Nanoscale Heat Transfer and Information Technology. Proceedings of 2003 Rohsenow Symposium on Future Trends of Heat Transfer, MIT, Cambridge, MA, 2003.
Dresselhaus, M.S., Nanostructures and Energy Conversion. Proceedings of 2003 Rohsenow Symposium on Future Trends of Heat Transfer, MIT, Cambridge, MA, 2003.
Volz, S.G. and G. Chen, Molecular Dynamics Simulation of Thermal Conductivity of Silicon Nanowires. Applied Physics Letters, 1999. 75(14): p. 2056–2058.
Li, D., Y. Wu, P. Kim, P. Yang, and A. Majumdar, Thermal Conductivity of Individual Silicon Nanowires. Applied Physics Letters, 2003. 83(14): p. 2394–2396.
Li, D., Y. Wu, F. Rong, P. Yang, and A. Majumdar, Thermal Conductivity of Si/SiGe Superlattice Nanowires. Applied Physics Letters, 2003. 83(15): p. 3186–3188.
Volz, S., J.B. Saulnier, G. Chen, and P. Beauchamp, Computation of Thermal Conductivity of Si/Ge Superlattice by Molecular Dynamics Technique. Microelectronics Journal, 2000. 31(9–10): p. 815–819.
Daly, B.C. and H.J. Maris, Calculation of the Thermal Conductivity of Superlattices by Molecular Dynamics Simulation. Physica B, 2002. 316–317: p. 247–249.
Abramsom, A.R., C.-L. Tien, and A. Majumdar, Interface and Strain Effects on the Thermal Conductivity of Heterostructures: A Molecular Dynamics Study. Journal of Heat Transfer, 2002. 124: p. 963–970.
Hone, J., M.C. Llaguno, M.J. Biercuk, A.T. Johnson, B. Batlogg, Z. Benes, and J.E. Fischer, Thermal Properties of Carbon Nanotubes and Nanotube-based Materials. Applied Physics A, 2002. A74(3): p. 339–43.
Cahill, D.G., K.E. Goodson, and A. Majumdar, Thermometry and Thermal Transport in Micro/Nanoscale Solid-State Devices and Structures. ASME Journal of Heat Transfer, 2002. 124: p. 223–241.
Cahill, D.G., W.K. Ford, K.E. Goodson, G.D. Mahan, A. Majumdar, H.J. Maris, R. Merlin, and S.R. Phillpot, Nanoscale Thermal Transport. Journal of Applied Physics, 2003. 93(2): p. 793–818.
Shi, L., D. Li, C. Yu, W. Jang, D. Kim, Z. Yao, P. Kim, and A. Majumdar, Measuring Thermal and Thermoelectric Properties of One-dimensional Nanostructures Using a Microfabricated Device. ASME Journal of Heat Transfer, 2003. 125: p. 881–888.
Berber, S., Y.K. Kwon, and D. Tornanek, Unusually High Thermal Conductivity of Carbon Nanotubes. Physical Review Letters, 2000. 84: p. 4613.
Amon, C.H. Advances in Computational Modeling of Nano-scale Heat Transfer. in 12th International Heat Transfer Conference. 2002. Grenoble, France.
Ashcroft, N.W. and N.D. Mermin, Solid State Physics. 1976: Saunders College Publishers.
Kittel, C., Introduction to Solid State Physics. 1996, New York, NY: John Wiley.
Flik, M.I., B.I. Choi, and K.E. Goodson, Heat Transfer Regimes in Microstructures. ASME Journal of Heat Transfer, 1992. 114: p. 666–674.
Majumdar, A., ed. Microscale Energy Transport in Solids. Microscale Energy Transport, ed. C.L. Tien, A. Majumdar, and F.M. Gerner. 1998, Taylor and Francis: Washington DC. 1–94.
Chen, G., Phonon Wave Heat Conduction in Thin Films and Superlattices. Journal of Heat Transfer, 1999. 121: p. 945–953.
Che, J., T. Çagin, W. Deng, and W.A. Goddard, Thermal Conductivity of Diamond and Related Materials from Molecular Dynamics Simulations. Journal of Chemical Physics, 2000. 113(16): p. 6888–6900.
Ciraci, S., A. Buldum, and I.P. Batra, Quantum Effects in Electrical and Thermal Transport Through Nanowires. Journal of Physics: Condensed Matter, 2001. 13: p. R537–R568.
Tien, C.L. and G. Chen, Challenges in Microscale Conductive and Radiative Heat Transfer. Journal of Heat Transfer, 1994. 116: p. 799–807.
Mahan, G.D., Many-Particle Physics. 2000, Dordrecht: Kluwer-Plenum.
Klemens, P.G., Thermal Conductivity and Lattice Vibrational Modes, in Solid State Physics, F. Seitz and D. Thurnbull, Editors. 1958, Academic Press, New York. p. 1–98.
Klemens, P.G., Theory of Thermal Conductivity of Solids, in Thermal Conductivity, R.P. Tye, Editor. 1969, Academic Press: London. p. 1–68.
Narumanchi, S.V.J., J.Y. Murthy, and C.H. Amon. Boltzmann Transport Equation-based Thermal Modeling Approaches for Microelectronics. in 2nd International Thermal Sciences Seminar. 2004. Bled, Slovenia.
Balandin, A., and Wang, K.L., Significant Decrease of the Lattice Thermal Conductivity due to Phonon Confinement in a Free-standing Semiconductor Quantum Well. Physical Review B, 1998. 58(3): p. 1544–1549.
McGaughey, A.J.H., M. Kaviany, and J.D. Chung. Integration of Molecular Dynamics and Boltzmann Transport Equation in Phonon Thermal Conductivity Analysis. in ASME International Mechanical Engineering Congress and Exposition IMECE2003-41899. 2003. Washington, DC.
Majumdar, A., Microscale Heat Conduction in Dielectric Thin Films. ASME Journal of Heat Transfer, 1993. 115: p. 7–16.
Joshi, A.A. and A. Majumdar, Transient Ballistic and Diffusive Phonon Transport in Thin Films. Journal of Applied Physics, 1993. 74(1): p. 31–39.
Chen, G., Size and Interface Effects on Thermal Conductivity of Superlattices and Periodic Thin-Film Structures. Journal of Heat Transfer, 1997. 119: p. 220–229.
Chen, G., Thermal Conductivity and Ballistic-phonon Transport in the Cross-plane Direction of Superlattices. Physical Review B, 1998. 57(23): p. 14958–14973.
Goodson, K.E., Thermal Conduction in Nonhomogeneous CVD Diamond Layers in Electronic Microstructures. ASME Journal of Heat Transfer, 1996. 118: p. 279–286.
Goodson, K.E., Y.S. Ju, and M. Asheghi, Thermal Phenomena in Semiconductor Devices and Interconnects, in Microscale Energy Transport, ed. C.L. Tien, A. Majumdar, and F.M. Gerner. 1998: Taylor & Francis.
Narumanchi, S.V.J., J.Y. Murthy, and C.H. Amon, Simulation of Unsteady Small Heat Source Effects in Sub-micron Heat Conduction. ASME Journal of Heat Transfer, 2003. 125(5): p. 896–903.
Holland, M.G., Analysis of Lattice Thermal Conductivity. Physical Review, 1963. 132(6): p. 2461–2471.
Ju, Y.S., Microscale Heat Conduction in Integrated Circuits and their Constituent Films. Ph.D. thesis, Stanford University, 1999.
Sverdrup, P.G., Simulation and Thermometry of Sub-Continuum Heat Transport in Semiconductor Devices, Ph.D. Thesis. 2000, Stanford University.
Sverdrup, P.G., Y.S. Ju, and K.E. Goodson, Sub-continuum Simulations of Heat Conduction in Silicon-on-insulator Transistors. ASME Journal of Heat Transfer, 2001. 123: p. 130–137.
Narumanchi, S.V.J., J.Y. Murthy, and C.H. Amon. Computations of Sub-micron Heat Transport in Silicon Accounting for Phonon Dispersion. in ASME Summer Transfer Conference, HT2003-47490. 2003. Las Vegas, NV.
Mazumder, S., and Majumdar, A., Monte Carlo Study of Phonon Transport in Solid Thin Films Including Dispersion and Polarization. ASME Journal of Heat Transfer, 2001. 123: p. 749–759.
Narumanchi, S.V.J., J.Y. Murthy, and C.H. Amon. Simulations of Heat Conduction in Sub-micron Silicon-on-insulator Transistors Accounting for Phonon Dispersion and Polarization. in ASME International Mechanical Engineering Congress and Exposition, IMECE 2003-42447. 2003. Washington, DC.
Narumanchi, S.V.J., J.Y. Murthy, and C.H. Amon, Heat Transport During Transient Electrostatic Discharge Events in a Sub-micron Transistor. Paper No. HT-FED2004-56252, Proceedings-ASME Heat Transfer/Fluids Engineering Summer Conference, Charlotte, North Carolina, 2004.
Klemens, P.G., The Thermal Conductivity of Dielectric Solids at Low Temperatures. Proceedings of the Royal Society of London, Series A, 1951. 208(1092): p. 108–133.
Klemens, P.G., The Scattering of Low Frequency Lattice Waves by Lattice Imperfections. Proceedings of the Physical Society of London, 1955. A68: p. 1113–1128.
Han, Y.-J. and P.G. Klemens, Anharmonic Thermal Resistivity of Dielectric Crystals at Low Temperatures. Physical Review B, 1993. 48: p. 6033–6042.
Zou, J., and Balandin, A., Phonon Heat Conduction in a Semiconductor Nanowire. Journal of Applied Physics, 2001. 89(5): p. 2932–2938.
Narumanchi, S.V.J., J.Y. Murthy, and C.H. Amon, Sub-micron Heat Transport Model in Silicon Accounting for Phonon Dispersion and Polarization. ASME J. Heat Transfer,, 2004 (in press).
Ju, Y.S. and K.E. Goodson, Phonon Scattering in Silicon Thin Films with Thickness of Order 100 nm. Applied Physics Letters, 1999. 74(20): p. 3305–3307.
Asheghi, M., Kurabayashi, K., Kasnavi, R., and Goodson, K.E., Thermal Conduction in Doped Single-crystal Silicon Films. Journal of Applied Physics, 2002. 91(8): p. 5079–5088.
Schelling, P.K., S.R. Phillpot, and P. Keblinski, Comparison of Atomic-Level Simulation Methods for Computing Thermal Conductivity. Physical Review B, 2002. 65: p. 144306/1–12.
Lukes, J.R., D.Y. Li, X.-G. Liang, and C.-L. Tien, Molecular Dynamics Study of Solid Thin-Film Thermal Conductivity. Journal of Heat Transfer, 2000. 122: p. 536–543.
Volz, S.G. and G. Chen, Lattice Dynamic Simulation of Silicon Thermal Conductivity. Physica B, 1999. 263–264: p. 709–712.
Volz, S.G. and G. Chen, Molecular-Dynamics Simulation of Thermal Conductivity of Silicon Crystals. Physical Review B, 2000. 61(4): p. 2651–2656.
Li, J., L.J. Porter, and S. Yip, Atomistic Modeling of Finite-temperature Properties of Crystalline BSiC. II.Thermal Conductivity and Effects of Point Defects. Journal of Nuclear Materials, 1998. 255: p. 139–152.
Gomes, C.J., M. Madrid, and C.H. Amon. Parallel Molecular Dynamics Code Validation Through Bulk Silicon Thermal Conductivity Calculations. in Proceedings of the 2003 ASME International Mechanical Engineering Congress and Exposition, IMECE 2003-42352. 2003. Washington, DC.
Lee, Y.H., R. Biswas, C.M. Soukoulis, C.Z. Wang, C.T. Chan, and K.M. Ho, Molecular-Dynamics Simulation of Thermal Conductivity in Amorphous Silicon. Physical Review B, 1991. 43(8): p. 6573–6580.
Ding, K. and H.C. Andersen, Molecular-Dynamics Simulation of Amorphous Germanium. Physical Review B, 1986. 34(10): p. 6987–6991.
McQuarrie, D.A., Statistical Mechanics. 1976, New York: Harper Collins. 641.
Allen, M.P. and D.J. Tildesley, Computer Simulation of Liquids. 1987, Oxford, UK: Clarendon Press. 385.
Hardy, R.J., Energy-Flux Operator for a Lattice. Physical Review, 1963. 132(1): p. 168–177.
Kubo, R., The Fluctuation-Dissipation Theorem. Report of Progress in Physics, 1966. 29: p. 255–284.
Frenkel, D. and B. Smit, Understanding Molecular Simulation From Algorithms to Applications. 2nd ed. 2001: Academic Press. p. 638.
Flubacher, P., A.J. Leadbetter, and J.A. Morrison, Philosophical Magazine. 1959. 4: p. 273.
Hultgren, R., Selected Values of Thermodynamic Properties of the Elements. 1973, Metals Park: ASM.
Desai, P.D., Thermodynamic Properties of Iron and Silicon. Journal of Physical and Chemical Reference Data, 1986. 15(3): p. 967–983.
Ladd, A., B. Moran, and W.G. Hoover, Lattice Thermal Conductivity: A Comparison of Molecular Dynamics and Anharmonic Lattice Dynamics. Physical Review B, 1986. 34: p. 5058–5064.
McGaughey, A.J. and M. Kaviany, Quantitative Validation of the Boltzmann Transport Equation Phonon Thermal Conductivity Model Under the Single-Mode Relaxation Time Approximation. Physical Review B, 2004. 69(9): p. 094303(1)–094303(11).
Dove, M.T., Introduction to Lattice Dynamics. Cambridge Topics in Mineral Physics and Chemistry. 1993: Cambridge University Press.
Ho, C.Y., R.W. Powell, and P.E. Liley, Thermal Conductivity of the Elements. Journal of Physical and Chemical Reference Data, 1972. 1(2): p. 279–421.
Stillinger, F.H. and T.A. Weber, Computer Simulation of Local Order in Condensed Phases of Silicon. Physical Review B, 1985. 31(8): p. 5262–5271.
Srivastava, G.P., The Physics of Phonons, ed. A. Hilger. 1990, New York.
Cahill, D.G., Heat Transport in Dielectric Thin Films and at Solid-Solid Interfaces in: Microscale Energy Transport. Series in Chemical and Mechanical Engineering, ed. C.L. Tien, A. Majumdar, and F.M. Gerner. 1998, Washington, DC: Taylor & Francis.
Chantrenne, P. and J.-L. Barrat, Finite Size Effects in Determination of Thermal Conductivities: Comparing Molecular Dynamics Results with Simple Models. Journal of Heat Transfer, 2004. 126: p. 577–585.
Gomes, C.J., M. Madrid, and C.H. Amon. Thin Film In-Plane Thermal Conductivity Dependence on Molecular Dynamics Surface Boundary Conditions. in Proceedings of the 2004 ASME International Mechanical Engineering Congress and Exposition, IMECE 2004-62264. 2004. Anaheim, CA.
Liu, W. and M. Asheghi, Phonon-Boundary Scattering in Ultrathin Single-Crystal Silicon Layers. Applied Physics Letters, 2004. 84(19): p. 3819–3821.
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Amon, C.H., Narumanchi, S., Madrid, M., Gomes, C., Goicochea, J. (2005). Hierarchical Modeling of Thermal Transport from Nano-to-Macroscales. In: Kakaç, S., Vasiliev, L., Bayazitoğlu, Y., Yener, Y. (eds) Microscale Heat Transfer Fundamentals and Applications. NATO Science Series II: Mathematics, Physics and Chemistry, vol 193. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3361-3_20
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