TY - JOUR
T1 - Dynamical temperature and renormalized flux variable in extended thermodynamics of rigid heat conductors
AU - Jou, David
AU - Cimmelli, Vito Antonio
AU - Sellitto, Antonio
PY - 2011/12/1
Y1 - 2011/12/1
N2 - We propose a description of heat conduction in rigid solids in which the classical state space of extended thermodynamics is substituted with another one, spanned by a dynamical semi-empirical temperature and a renormalized flux variable, given by the thermodynamic conjugate of the heat flux and proportional to the heat relaxation time and the dynamical temperature gradient. Propagation of heat pulses in dielectric crystals at low temperatures is analyzed, and the results are compared with those obtained by Lebon et al. (J. Phys.: Condens. Matter, 20 (2008), 025223). We propose a possible experiment in order to check what is the most well-suited definition of temperature in non-equilibrium situations. © de Gruyter 2011.
AB - We propose a description of heat conduction in rigid solids in which the classical state space of extended thermodynamics is substituted with another one, spanned by a dynamical semi-empirical temperature and a renormalized flux variable, given by the thermodynamic conjugate of the heat flux and proportional to the heat relaxation time and the dynamical temperature gradient. Propagation of heat pulses in dielectric crystals at low temperatures is analyzed, and the results are compared with those obtained by Lebon et al. (J. Phys.: Condens. Matter, 20 (2008), 025223). We propose a possible experiment in order to check what is the most well-suited definition of temperature in non-equilibrium situations. © de Gruyter 2011.
KW - Dynamical non-equilibrium temperature
KW - Nonlinear heat transport equations
KW - Renormalized flux variable
U2 - https://doi.org/10.1515/JNETDY.2011.021
DO - https://doi.org/10.1515/JNETDY.2011.021
M3 - Article
VL - 36
SP - 373
EP - 392
JO - Journal of Non-Equilibrium Thermodynamics
JF - Journal of Non-Equilibrium Thermodynamics
SN - 0340-0204
ER -