Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/13011
Title: Effective phonon theory of heat conduction in 1D nonlinear lattice chains
Authors: LI NIANBEI
Keywords: heat conduction, transport processes, analytical and numerical techniques, phonons in crystal lattices, nonlinear lattices, classical transport
Issue Date: 24-Jan-2008
Source: LI NIANBEI (2008-01-24). Effective phonon theory of heat conduction in 1D nonlinear lattice chains. ScholarBank@NUS Repository.
Abstract: This thesis deals with the classical heat conduction of 1D nonlinear lattice. A new theory of heat conduction, Effective Phonon Theory, has been developed based on effective phonons. The effective phonons are renormalized phonons due to the nonlinear interactions. For lattices without on-site potential, the resulted effective phonons are acoustic-like. For lattices with on-site potential, the effective phonons are optical-like. The normal/anomalous heat conduction of lattices with/without on-site potential is well explained by this theory.A correlation between nonlinearity strength and heat conductivity has been found through numerical simulations. By incarnating this nonlinearity strength into the expression of the mean-free-path of effective phonons, the temperature dependence of heat conductivity is explained consistently for general 1D lattices with and without on-site potential.The effective phonon theory is applied to the 1D $\phi^4$ lattice. The parameter-dependent heat conductivities beyond the size and temperature have been derived and compared with numerical simulations.
URI: http://scholarbank.nus.edu.sg/handle/10635/13011
Appears in Collections:Ph.D Theses (Open)

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