2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/26794We study heat conduction in one dimensional lattice dynamical systems far from equilibrium. The Fermi-Pasta-Ulam model and the $ϕ^4$ 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 $ϕ^4$ model does not increase monotonically as the temperature differences at the ends of the lattice is increased, while it does in the FPU chain.Statistical Mechanicstext