By coupling two nonlinear one dimensional lattices, we demonstrate a thermal diode model
that works in a wide range of system parameters. We provide numerical and analytical …

Recent results on theoretical studies of heat conduction in low-dimensional systems are
presented. These studies are on simple, yet non-trivial, models. Most of these are classical …

We establish a connection between anomalous heat conduction and anomalous diffusion in
one-dimensional systems. It is shown that if the mean square of the displacement of the …

Consider anomalous energy spread in solid phases, ie,⟨ Δ x 2 (t)⟩ E≡∫(x−⟨ x⟩ E) 2 ρ E
(x, t) dx∝ t β, as induced by a small initial excess energy perturbation distribution ρ E (x, t …

Heat conduction is an important energy transport process in nature. Phonon is the major
energy carrier for heat in semiconductors and dielectric materials. In analogy to Ohm's law of …

The evolution of infinitesimal, localized perturbations is investigated in a one-dimensional
diatomic gas of hard-point particles (HPG) and thereby connected to energy diffusion. As a …

A valuable introduction for newcomers as well as an important reference and source of
inspiration for established researchers, this book provides an up-to-date summary of central …

We study heat conduction in a one-dimensional chain of particles with longitudinal as well
as transverse motions. The particles are connected by two-dimensional harmonic springs …

We study anomalous heat conduction and anomalous diffusion in low-dimensional systems
ranging from nonlinear lattices, single walled carbon nanotubes, to billiard gas channels …

We consider heat conduction in a 1D dynamical channel. The channel consists of an
ensemble of noninteracting particles, which move between two heat baths according to …