Heat transport in low-dimensional systems
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 …
presented. These studies are on simple, yet non-trivial, models. Most of these are classical …
Anomalous heat conduction and anomalous diffusion in one-dimensional systems
B Li, J Wang - Physical review letters, 2003 - APS
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 …
one-dimensional systems. It is shown that if the mean square of the displacement of the …
Heat conduction in one-dimensional nonintegrable systems
B Hu, B Li, H Zhao - Physical Review E, 2000 - APS
Two classes of one-dimensional nonintegrable systems represented by the Fermi-Pasta-
Ulam (FPU) model and the discrete φ 4 model are studied to seek a generic mechanism of …
Ulam (FPU) model and the discrete φ 4 model are studied to seek a generic mechanism of …
Anomalous heat conduction and anomalous diffusion in low dimensional nanoscale systems
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 …
energy carrier for heat in semiconductors and dielectric materials. In analogy to Ohm's law of …
Momentum conservation implies anomalous energy transport in 1D classical lattices
Under quite general conditions, we prove that for classical many-body lattice Hamiltonians
in one dimension (1D) total momentum conservation implies anomalous conductivity in the …
in one dimension (1D) total momentum conservation implies anomalous conductivity in the …
From Anomalous Energy Diffusion to Levy Walks and Heat Conductivity<? format?> in One-Dimensional Systems
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 …
diatomic gas of hard-point particles (HPG) and thereby connected to energy diffusion. As a …
Chaos, spatial extension, transport, and non-equilibrium thermodynamics
J Vollmer - Physics reports, 2002 - Elsevier
The connection between the thermodynamic description of transport phenomena and a
microscopic description of the underlying chaotic motion has recently received new attention …
microscopic description of the underlying chaotic motion has recently received new attention …
[كتاب][B] Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics
R Klages - 2007 - books.google.com
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 …
inspiration for established researchers, this book provides an up-to-date summary of central …
[HTML][HTML] Bulk properties of anharmonic chains in strong thermal gradients: non-equilibrium φ4 theory
We study nonequilibrium properties of a one-dimensional lattice Hamiltonian with quartic
interactions in strong thermal gradients. Nonequilibrium temperature profiles, T (x), are …
interactions in strong thermal gradients. Nonequilibrium temperature profiles, T (x), are …
Intriguing heat conduction of a chain with transverse motions
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 …
as transverse motions. The particles are connected by two-dimensional harmonic springs …