Entropy analyses for hyperbolic heat conduction based on the thermomass model

Flux Limiters in Radial Heat Transport in Silicon Nanolayers

“…In the TM theory, the entropy production was proven to be [26,46] 1 so that, the coupling of Eqs. (10) and (20) leads to (20) (21) which clearly shows that the constraint cr'^' > 0 is never violated, even in the presence of the temperature hump.…”

A nonlinear thermodynamic model for a breakdown of the Onsager symmetry and the efficiency of thermoelectric conversion in nanowires

“…However, this does not exclude that other kinds of nonlinear effects (such as those expressed in equations (2.10)) could lead to a higher efficiency. It would also be interesting in future research to investigate the possible breakdown of the second Kelvin relation if a different heat conduction theory, such as thermomass theory [34,35], is applied. In the case of a single temperature, and when the nonlinear terms are negligible in the system above, taking into account the interactions between the different heat carriers and the walls, in Sellitto et al [27] a possible size-dependent enhancement of the figure of merit has been discussed.…”

Generalized heat conduction laws based on thermomass theory and phonon hydrodynamics

“…This effect comes from the Doppler behavior of phonon gas during the drift motion, which is demonstrated by the second term in Eq. (35). The phonon gas is different from the gas consisting of real particles, since the energy of phonon varies with the drift motion, so the convective term is "gibbous".…”

“…[30][31][32][33][34][35][36][37] The thermal energy has an equivalent mass (thermomass) according to Einstein's theory of special relativity, which should be seen as a part of the invariant mass of the system in modern physics. [38][39][40] The nonlocal and nonlinear effects of heat conduction can be ascribed to the inertia of thermomass.…”