A numerical study of the thermodynamic properties of a superconducting quantum cylinder in a longitudinal magnetic field is carried out. Closed-form expressions for the critical temperature, the free energy, the heat capacity jump, and the magnetization difference between the superconducting and normal phases as functions of the nanotube parameters are obtained in limit cases.
The two-point scaling approach is introduced by the assumption that the thermodynamic potentials are generalized homogeneous
functions with respect to the reduced temperature variable and to the fields conjugated to the order parameters, however,
the singularities are related to the stability points in contrast to the conventional scaling where the fixed point is identified
with the phase transition temperature.
The extended scaling theory is illustrated in the case of the pyroelectric function behaviour in the neighbourhood of ferro-paraelectric
phase transitions. The method is successfully applied to the description of the melting and surface melting phenomena. Applications
to liquid crystals and mixtures of solvents can be predicted as fruitful but they still remain open for considerations.
Authors:Gaochao Fan, Zaiyin Huang, Junying Jiang, and Li Sun
. From the aspect of chemical reaction, nano ZnO and bulk ZnO can be considered as the different substances but with the same chemical composition. Therefore, according to thermodynamicpotential function method [ 18 ], the thermochemical cycle shown in
Authors:Alexander Kozlov, Denis Svishchev, Igor Donskoy, and Alexandre V. Keiko
individual stages of the studied process mechanism; (2) transforming right-hand sides of kinetic equations, i.e., making a transition from the space of sought variables of the problem to the space of thermodynamicpotentials; (3) imposing constraints on the
the excess solute concentration Δ c is the driving force for crystallization. The quantity Δ c is related to the chemical potential difference Δ μ as well as to the thermodynamicpotential difference Δ F (Kashchiev 2000 ). Both of these quantities