Advances in the fabrication and characterization of nanoscale systems now allow for a better
understanding of one of the most basic issues in science and technology: the flow of heat at …

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 …

The approach of studying heat conduction in harmonic crystals, using generalized Langevin
equations and phonon Green's functions, is explained in this review. We present 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 …

We investigate the steady-state heat current in two-and three-dimensional disordered
harmonic crystals in a slab geometry connected at the boundaries to stochastic white-noise …

We present a two-dimensional model of a fermionic wire which shows a power-law
conductance behavior despite the presence of uncorrelated disorder along the direction of …

We consider a harmonic chain of N oscillators in the presence of a disordered magnetic
field. The ends of the chain are connected to heat baths and we study the effects of the …

We study the localization properties of normal modes in harmonic chains with mass and
spring weak disorder. Using a perturbative approach, an expression for the localization …

This work presents a thermodynamic analysis of the ballistic heat equation from two
viewpoints: classical irreversible thermodynamics (CIT) and extended irreversible …