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.

– 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...

– We propose a model with a quantized degree of freedom to study the heat transport in quasi-one dimensional system. Our simulations reveal three distinct temperature regimes. In particular, the intermediate regime is characterized by heat conductivity with a temperature exponent γ much greater than 1/2 that was generally found in systems with point-like particles. A dynamical investigation ind...

abstract: in this paper, a new population-based search called the bees algorithm (ba) is presented to estimate the time-dependent heat transfer coefficient and the corresponding heat flux at the boundaries of a two-dimensional body subjected to transient heat conduction, using the temperature measurements at discrete nodal locations on the boundaries, where heat flux is specified as the boundar...

In recent years, there has been interest in employing atomistic computations to inform macroscale thermal transport analyses. In heat conduction simulations in semiconductors and dielectrics, for example, classical molecular dynamics (MD) is used to compute phonon relaxation times, from which material thermal conductivity may be inferred and used at the macroscale. A drawback of this method is ...

A heat conduction equation on a lattice composed of nodes and bonds is formulated assuming the Fourier law energy conservation law. Based this equation, we propose higher-order topological model breathing kagome lattice. We show that temperature measurement at conner node can detect corner state which causes rapid toward bath, several-nodes determine precise states.

In device applications of carbon nanotubes, characterization of the heat transfer is essential. While experimental attempts to characterize heat conduction of carbon nanotubes encounter technical difficulties, the classical molecular dynamics (MD) simulations hold an advantage as the heat conduction is phonon-dominated. Single-walled carbon nanotubes (SWNTs) are expected to possess high thermal...