Nonlocal Free Energy of a Spatially Inhomogeneous Superconductor

FGM thermodynamics has been mostly based on adaptation of classical Gibbs-Helmholtz approach for infinite systems to locally “homogeneous” zones. A statistical sum calculation in this theory cannot predict inhomogeneous distributions. A new approach to the statistical description of solid solutions is suggested, which takes into account possible formation of spatially inhomogeneous simultaneous particle and field distributions in finite space domains. The formation of new periodical or gradated structure in binary system is described. The effective free energy of system was determined and the condition of formation of such spatially inhomogeneous distribution of interacting particles was obtained. New method may be applied to FGM to calculate ab initio free energy of these systems without usual limitations of classical theory.

Download Full-text

On the Ginzburg—Landau expansion of the free energy of a spatially inhomogeneous anisotropic BCS-superfluid

Physics Letters A ◽

10.1016/0375-9601(74)90018-8 ◽

1974 ◽

Vol 47 (3) ◽

pp. 224-226 ◽

Cited By ~ 30

Author(s):

P. Wölfle

Keyword(s):

Free Energy ◽

Ginzburg Landau ◽

Spatially Inhomogeneous

Download Full-text

Quasiparticle relaxation rates in a spatially inhomogeneous superconductor

Physica C Superconductivity ◽

10.1016/0921-4534(93)90181-o ◽

1993 ◽

Vol 205 (1-2) ◽

pp. 147-153 ◽

Cited By ~ 36

Author(s):

A.A. Golubov ◽

E.P. Houwman

Keyword(s):

Relaxation Rates ◽

Spatially Inhomogeneous ◽

Quasiparticle Relaxation ◽

Inhomogeneous Superconductor

Download Full-text

Free energy of an inhomogeneous superconductor: A wave-function approach

Physical Review B ◽

10.1103/physrevb.58.9365 ◽

1998 ◽

Vol 58 (14) ◽

pp. 9365-9384 ◽

Cited By ~ 64

Author(s):

Ioan Kosztin ◽

Šimon Kos ◽

Michael Stone ◽

Anthony J. Leggett

Keyword(s):

Free Energy ◽

Wave Function ◽

Function Approach ◽

Inhomogeneous Superconductor

Download Full-text

Encultured minds, not error reduction minds

Behavioral and Brain Sciences ◽

10.1017/s0140525x19002826 ◽

2020 ◽

Vol 43 ◽

Author(s):

Robert Mirski ◽

Mark H. Bickhard ◽

David Eck ◽

Arkadiusz Gut

Keyword(s):

Free Energy ◽

Error Reduction ◽

Energy Principle ◽

Free Energy Principle ◽

Current Article

Abstract There are serious theoretical problems with the free-energy principle model, which are shown in the current article. We discuss the proposed model's inability to account for culturally emergent normativities, and point out the foundational issues that we claim this inability stems from.

Download Full-text