Phonon hydrodynamics and its applications in nanoscale heat transport

Y Guo, M Wang - Physics Reports, 2015 - Elsevier
Phonon hydrodynamics is an effective macroscopic method to study heat transport in
dielectric solid and semiconductor. It has a clear and intuitive physical picture, transforming …

[КНИГА][B] Extended irreversible thermodynamics

D Jou, J Casas-Vázquez, G Lebon, D Jou… - 1996 - Springer
Our aim is to propose a theory which goes beyond the classical formulation of
thermodynamics. This is achieved by enlarging the space of basic independent variables …

[PDF][PDF] Constitutive equations for heat conduction in nanosystems and nonequilibrium processes: an overview

D Jou, VA Cimmelli - Communications in Applied and …, 2016 - intapi.sciendo.com
Constitutive equations for heat conduction in nanosystems and nonequilibrium processes: an
overview Page 1 Communications in Applied and Industrial Mathematics ISSN 2038-0909 …

Entropy principle and recent results in non-equilibrium theories

VA Cimmelli, D Jou, T Ruggeri, P Ván - Entropy, 2014 - mdpi.com
We present the state of the art on the modern mathematical methods of exploiting the
entropy principle in thermomechanics of continuous media. A survey of recent results and …

Different thermodynamic theories and different heat conduction laws

VA Cimmelli - 2009 - degruyter.com
We present an overview of the modern approaches to continuum nonequilibrium
thermodynamics from the perspective of their connection with the problem of heat …

Guyer-Krumhansl–type heat conduction at room temperature

P Ván, A Berezovski, T Fülöp, G Gróf… - Europhysics …, 2017 - iopscience.iop.org
Results of heat pulse experiments in various artificial and natural materials are reported in
this paper. The experiments are performed at room temperature with macroscopic samples …

Proof of Straughan's claim on Payne–Song's and modified Guyer–Krumhansl's equations

PM Mariano - Proceedings of the Royal Society A, 2023 - royalsocietypublishing.org
We prove a claim by Brian Straughan who conjectured that Payne–Song's and modified
Guyer–Krumhansl's equations can be justified in (and derived from) the general model …

Nonequilibrium temperatures, heat waves, and nonlinear heat transport equations

VA Cimmelli, A Sellitto, D Jou - Physical Review B—Condensed Matter and …, 2010 - APS
A dynamical nonequilibrium temperature has been proposed to describe relaxational
equations for the heat flux. This temperature provides an alternative description to the …

Nonlocal effects and second sound in a nonequilibrium steady state

VA Cimmelli, A Sellitto, D Jou - Physical Review B—Condensed Matter and …, 2009 - APS
The influence of weakly nonlocal effects on the speed of second sound along or against the
direction of a nonvanishing average heat flow is explored in a formalism based on a …

Nonlinear evolution and stability of the heat flow in nanosystems: Beyond linear phonon hydrodynamics

VA Cimmelli, A Sellitto, D Jou - Physical Review B—Condensed Matter and …, 2010 - APS
A heat-transport equation incorporating nonlocal and nonlinear contributions of the heat flux
is derived in the framework of weakly nonlocal nonequilibrium thermodynamics. The …