As nanostructured devices become prevalent, interfaces often play an important role in thermal transport phenomena. However, interfacial remains poorly understood due to complex physics across a wide range of length scales from atomistic microscale. Past studies on resistance have focused interface-phonon scattering at the scale but overlooked interplay phonon-interface and phonon-phonon Here, ...

We consider the Gibbs representation over space-time of non-equilibrium dynamics of Hamiltonian systems defined on a lattice with local interactions. We first write the corresponding action functional as a sum of local terms, defining a local action functional. We replace the local system by a translationinvariant system whose dynamics has an identical space-time characterization. We study in d...

In this paper, linear stability analysis of non-prismatic beam resting on uniform Winkler-Pasternak elastic foundation is carried out based on Eringen's non-local elasticity theory. In the context of small displacement, the governing differential equation and the related boundary conditions are obtained via the energy principle. It is also assumed that the width of rectangle cross-section varie...

In the present article we consider some general class of divergent diagrams in Keldysh diagram technique. These divergences arise for non-equilibrium matter and closely related to the divergences in the kinetic theory of gases. We suggest a scheme of renormalization of such divergences and illustrate it on some examples. In the other papers of these series we develop the general theory of renor...