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 …

It has been observed in many numerical simulations, experiments and from various
theoretical treatments that heat transport in one-dimensional systems of interacting particles …

We consider a one dimensional infinite chain of harmonic oscillators whose dynamics is
perturbed by a stochastic term conserving energy and momentum. We prove that in the …

We analyze the nonequilibrium steady states (NESS) of a one-dimensional harmonic chain
of N atoms with alternating masses connected to heat reservoirs at unequal temperatures …

We study an weak transport cost related to the notion of convex order between probability
measures. On the real line, we show that this weak transport cost is reached for a coupling …

We consider lattice dynamics with a small stochastic perturbation of order ε and prove that
for a space–time scale of order ε^-1 the local spectral density (Wigner function) evolves …

We consider a stochastic process of heat conduction where energy is redistributed along a
chain between nearest neighbor sites via an improper beta distribution. Similar to the well …

We consider heat transfer in one-dimensional systems with long-range interactions. It is
known that typical short-range interacting systems shows anomalous behavior in heat …

We investigate thermal transport along a one-dimensional lattice of classical inertial rotators,
with attractive couplings that decrease with distance as r− α (α≥ 0), subject at its ends to …

3/4-Fractional Superdiffusion in a System of Harmonic Oscillators Perturbed by a Conservative
Noise Page 1 Digital Object Identifier (DOI) 10.1007/s00205-015-0936-0 Arch. Rational Mech …