Re: New thermodynamic description of elastic solids

In the presented thermodynamic description of solids I barely touch
elasticity. It is assumed that the stresses are isotropic; therefore,
the principal stresses can be identified as the pressure.

The most important advances would be the followings:

In the "Limits on the thermo-elastic coupling" it is proved that
correlation between the temperature and the pressure can exist only at
constant volume and in the temperature-pressure direction. One of the
consequences of this statement is that adiabatic condition does not
exist in elastic solid phase.

In "The work function of elastic solids" it is demonstrated that if
the thermal related volume changes do work then the law of conservation
of energy is violated. Therefore it is suggested that the thermal
related volume changes do not produce work. A physical model
consistent with this suggestion is presented. The work functions
taking into account only the elastic volume changes have been derived
for the different thermodynamic conditions.

In the "Heat capacities of elastic solids" is shown that employing
the newly derived work functions the relationship between the heat
capacities fundamentally changes and c_V > c_p > c_thermal.

The applications are far reaching and I just give one example.
Solid state thermodynamic equations are used to determine the
temperature inside the earth and other planets. The temperature
distribution as the function of depth (geotherm) is determined by
assuming adiabatic conditions for 200 km and deeper regions. Since
adiabatic conditions do not exist in the non-viscous elastic solid
phase the geotherm must be reconsidered.

Thank you for your interest.

Jozsef

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