Latent heat and the Fourier law

Residual Entropy, the Third Law and Latent Heat

A novel thermodynamic treatment of residual entropy in crystals, involving the configurational partition function, is suggested, which is consistent with both classical and statistical thermodynamics. It relates residual entropy to the inherent latent heat which would be released upon cooling if the reversible path were available. The nature of this heat is that if the crystal possessing residu...

Hamiltonian model of heat conductivity and Fourier law

A mathematical proof of the zeroth "law" of thermodynamics and the nonlinear Fourier "law" for heat flow.

What is now known as the zeroth "law" of thermodynamics was first stated by Maxwell in 1872: at equilibrium, "Bodies whose temperatures are equal to that of the same body have themselves equal temperatures." In the present paper, we give an explicit mathematical proof of the zeroth "law" for classical, deterministic, T-mixing systems. We show that if a body is initially not isothermal it will i...

The Latent Heat Saga

A n outstanding scientific and technological achievement of the twentieth century has been the evolution of nuclear energy which forms part of the mix of energy sources on which the continued growth of our civilization depends. In the twenty-first century we may be blessed with the arrival of another source of energy, of similar magnitude, which is more benign than nuclear energy and does not h...

A Generalized Enhanced Fourier Law

A generalized enhanced Fourier law (EFL) that accounts for quasiballistic phonon transport effects in a formulation entirely in terms of physical observables is derived from the Boltzmann transport equation. It generalizes the previously reported EFL from a gray phonon population to an arbitrary quasi-ballistic phonon mode population, the chief advantage being its formulation in terms of observ...