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 systems, but some… Expand

From the numerical data, it is concluded that the three dimensional system has a finite nondiverging kappa and thus provides the first verification of Fourier's law in a system without pinning.Expand

It is shown that "thermal conductivity" depends not just on the system itself but also on the spectral properties of the heat baths, which give other power laws including the "Fourier behavior" J approximately 1/N.Expand

Using simulations, it is found that even a small amount of anharmonicity leads to a J approximately 1/N dependence, implying diffusive transport of energy.Expand

Non-equilibrium fluctuations of various stochastic variables, such as work and entropy production, have been widely discussed recently in the context of large deviations, cumulants and fluctuation… Expand

Although nano-structured lipid carriers and SLNs are based on lipids and surfactants, the effect of these two matrixes to build excipients is also discussed together with their pharmacological significance with novel theranostic approaches, stability and storage.Expand

We work out the non-equilibrium steady state properties of a harmonic lattice which is connected to heat reservoirs at different temperatures. The heat reservoirs are themselves modeled as harmonic… Expand

Extensive numerical simulations for the two-mass problem indicate that, even for arbitrarily small mass differences, a nontrivial steady state is obtained and this state exhibits local thermal equilibrium and has a temperature profile as predicted by kinetic theory.Expand

This work investigates the form of equilibrium spatiotemporal correlation functions of conserved quantities in the Toda lattice and in other integrable models and finds that the correlations satisfy ballistic scaling with a remarkable collapse of data from different times.Expand

We consider heat transport across a harmonic chain connected at its two ends to white-noise Langevin reservoirs at different temperatures. In the steady state of this system the heat Q flowing from… Expand