Temperature-Dependent Thermal Conductivities of Nonlinear Klein-Gordon Lattices with Soft Potentials

• 作 者: Linlin Yang Nianbei Li
• 机 构: Center for Phononics and Thermal Energy Science and School of Physical Science and Engineering,Tongj
• 出 处: The 2nd International Conference on Phononics and thermal En
• 发表日期: 2014年5期

　　Regarding the renormalized phonons as the energy carriers in the nonlinear lattice due to the nonlinear interaction.the scaling laws of temperature-dependent thermal conductivities of one-dimensional nonlinear lattices can be derived from the phenomenological effective phonon approach.For the φ4 lattice and the Klein-Gordon(KG)lattice when the nonlinear exponent n is larger than 2.the thermal conductivities can be well explained by the current approach.For the nonlinear φ4 lattice,K(T)∝ T-1.35.and for the nonlinear KG lattice when the nonlinear exponent n is larger than 2.K(T)∝ T-Vn,Vn =4(n-2)/n+2.But for the nonlinear exponent n is smaller than 2.there is no any theoretical methods to know the properties of thermal conductivities.Whether the theoretical predictions for KG lattice n>2 can be the universal theory to explain the temperature dependence behaviors both for the KG lattice n>2 and 12.