"Cooling by heating" - demonstrating the significance of the longitudinal specific heat

@article{Papini2012CoolingBH,
  title={"Cooling by heating" - demonstrating the significance of the longitudinal specific heat},
  author={Jon J. Papini and Jeppe C. Dyre and Tage Emil Christensen},
  journal={arXiv: Soft Condensed Matter},
  year={2012}
}
Heating a solid sphere at the surface induces mechanical stresses inside the sphere. If a finite amount of heat is supplied, the stresses gradually disappear as temperature becomes homogeneous throughout the sphere. We show that before this happens, there is a temporary lowering of pressure and density in the interior of the sphere, inducing a transient lowering of the temperature here. For ordinary solids this effect is small because c_p is almost equal to c_V. For fluent liquids the effect is… 
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References

SHOWING 1-10 OF 34 REFERENCES
Frequency-dependent specific heat from thermal effusion in spherical geometry.
TLDR
A method of measuring the frequency-dependent specific heat at the glass transition applied to 5-polyphenyl-4-ether which has highest at a frequency where the thermal diffusion length is comparable to the radius of the heat generator.
Transient Thermal Stresses in a Sphere by Local Heating
The problem of transient thermal stresses in a solid, elastic, homogeneous, and isotropic sphere is solved for uniform and nonuniform, local surface heating. The temperature solutions are obained by
Solution of the spherically symmetric linear thermoviscoelastic problem in the inertia-free limit.
The coupling between mechanical and thermal properties due to thermal expansion complicates the problem of measuring frequency-dependent thermoviscoelastic properties, in particular for highly
The irreversible approach to equilibrium in glasses
  • R. Davies, G. Jones
  • Physics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1953
In liquids the molecular configuration is a function of temperature. If in a given substance super-cooling of the liquid is possible to such a low temperature—the ‘transformation temperature’
Conventional methods fail to measure cp (omega) of glass-forming liquids.
TLDR
By solving the full one-dimensional thermoviscoelastic problem analytically it is shown that, because of thermal expansion and the fact that mechanical stresses relax on the same time scale as the enthalpy relaxes, the plane thermal-wave method does not measure the isobaric frequency-dependent specific heat c{p}(omega) .
Thermoelasticity and Irreversible Thermodynamics
A unified treatment is presented of thermoelasticity by application and further developments of the methods of irreversible thermodynamics. The concept of generalized free energy introduced in a
Communication: Identical temperature dependence of the time scales of several linear-response functions of two glass-forming liquids.
The frequency-dependent dielectric constant, shear and adiabatic bulk moduli, longitudinal thermal expansion coefficient, and longitudinal specific heat have been measured for two van der Waals
Single-order-parameter description of glass-forming liquids: a one-frequency test.
TLDR
Generalizations to other cases of thermodynamic control parameters than temperature and pressure are presented and a "linear dynamic Prigogine-Defay ratio" LambdaTp(omega) is defined with the property that if LambdaS(omeg)=1 at one frequency, then LambdaP(omegas) is unity at all frequencies.
Pressure-energy correlations in liquids. III. Statistical mechanics and thermodynamics of liquids with hidden scale invariance.
TLDR
The development of the theoretical understanding of strongly correlating liquids--those whose instantaneous potential energy and virial are more than 90% correlated in their thermal equilibrium fluctuations at constant volume--is continued.
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