Heat conduction in one-dimensional lattice dynamical systems far from equilibrium

2005/08/26 by Akira Ueda, Ueda, Akira, Shinji Takesue +1
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Random lasers and scattering media #Statistical Mechanics (cond-mat.stat-mech) #Thermal Radiation and Cooling Technologies #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0508619

arxiv created 2005/08/26 · openalex publication_date 2005/08/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study heat conduction in one dimensional lattice dynamical systems far from equilibrium. The Fermi-Pasta-Ulam model and the ϕ⁴ model are numerically compared to elucidate differences between momentum-conserving and nonconserving systems. As a results, it is found that the heat flux in the ϕ⁴ model does not increase monotonically as the temperature differences at the ends of the lattice is increased, while it does in the FPU chain.

Related

• Heat conductance in nonlinear lattices at small temperature gradients
• Heat conduction in the diatomic Toda lattice revisited
• Simulation of heat transport in low-dimensional oscillator lattices
• Absence of correlations in the energy exchanges of an exactly solvable model of heat transport with many degrees of freedom
• The origin of normal heat conduction in one-dimensional classics system