We address the problem of heat transport in a chain of coupled quantum harmonic oscillators, exposed to the influences of local environments of various nature, stressing the effects that the specific nature of the environment has on the phenomenology of the transport process. We study in detail the behavior of thermodynamically relevant quantities such as heat currents and mean energies of the ...

Based on the Lagrangian description of dissipative oscillator, Hamiltonian Fourier heat conduction is treated here. The method enables us to calculate solution thermal propagation involving Maxwell-Cattaneo-Vernotte (MCV) telegrapher type also, in which both initial and boundary conditions are taken into account. presented study offers a new kind certain partial differential equations.

The understanding of the underlying dynamical mechanisms which determine the macroscopic laws of heat conduction is a long standing task of non-equilibrium statistical mechanics. A better understanding of the mechanism of heat conduction may lead to potentially interesting applications based on the possibility to control the heat flow. Indeed, different models of thermal rectifiers has been rec...

Abstract The present work considers a two-dimensional (2D) heat conduction problem in the semi-infinite domain based on classical Fourier model and other non-Fourier models, e.g., Maxwell–Cattaneo–Vernotte (MCV) equation, parabolic, hyperbolic, modified hyperbolic dual-phase-lag (DPL) equations. Using integral transform technique, Laplace, transforms, we provide solution of (Green’s function) L...

– We investigate how the normal energy transport is realized in one-dimensional quantum systems using a quantum spin system. The direct investigation of local energy distribution under thermal gradient is made using the quantum master equation, and the mixing properties and the convergence of the Green-Kubo formula are investigated when the number of spin increases. We find that the autocorrela...

Investigation to evaluate axial wall heat conduction has been conducted for heat transfer in a laminar flow circular tube with two classical thermal boundary conditions at the outside wall. The tube ends are either adiabatic or with heat losses. The simulation is three-dimensional with various wall materials, wall thicknesses and tube lengths. A wide range of Peclet number from 7 to 14,000 is c...

The accuracy of the classical heat conduction model, known as Fourier’s law, is highly questioned, dealing with micro- and nanosystems biological tissues. In other words, results obtained from equations deviate available experimental data. It means that continuum diffusion equation insufficient inappropriate for modeling transport in these cases. There are several techniques non-Fourier conduct...