Please use this identifier to cite or link to this item:
Title: Effective phonon theory of heat conduction in 1D nonlinear lattice chains
Keywords: heat conduction, transport processes, analytical and numerical techniques, phonons in crystal lattices, nonlinear lattices, classical transport
Issue Date: 24-Jan-2008
Citation: 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.
Appears in Collections:Ph.D Theses (Open)

Show full item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
EffectivePhononTheory.pdf2.06 MBAdobe PDF



Page view(s)

checked on Apr 26, 2019


checked on Apr 26, 2019

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.