Free-Energy Shift of Conduction Electrons Due to thes−dExchange Interaction

1966 ◽  
Vol 144 (2) ◽  
pp. 375-381 ◽  
Author(s):  
Kei Yosida ◽  
Hirosi Miwa
1969 ◽  
Vol 41 (6) ◽  
pp. 1416-1425 ◽  
Author(s):  
Kei Yosida ◽  
Hirosi Miwa
Keyword(s):  

A simple molecular field theory is developed to explain at least qualitatively the behaviour of weakly ferromagnetic and strongly paramagnetic alloys near their critical concentration c F . The free energy of a weakly ferromagnetic alloy can be expanded in powers of magnetization ζ and a modified Landau theory is used to calculate the concentration dependence of the magnetization, specific heat and the susceptibility near c F . It is believed that such a theory can work better in this case than does the usual Landau theory as fluctuations in ζ are relatively small for low temperatures. A change in low temperature resistivity around c F is also expected as a result of ciritcal scattering of conduction electrons. This change was first calculated by Rice (1967) for strongly paramagnetic alloys giving a large T 2 term. However, this calculation is not applicable for c very close to c F . It is shown that for c → c F the paramagnetic resistivity remains finite and has a maximum for c ═ c F , ρ Para c ═ c F ∝ T 5/3 . It is also found that the ferromagnetic resistivity ρ ferro has a similar dependence on concentration and temperature as ρ Para and ρ ferro c ═ c F ═ ρ Para c ═ c F , i.e. the resisitivity is symmetrical around c F .


2020 ◽  
Vol 43 ◽  
Author(s):  
Robert Mirski ◽  
Mark H. Bickhard ◽  
David Eck ◽  
Arkadiusz Gut

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.


1987 ◽  
Vol 48 (2) ◽  
pp. 169-171 ◽  
Author(s):  
G. Aubert ◽  
E. du Tremolet de Lacheisserie
Keyword(s):  

1989 ◽  
Vol 50 (24) ◽  
pp. 3527-3534 ◽  
Author(s):  
P. Oswald ◽  
F. Melo ◽  
C. Germain

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-222-C6-223
Author(s):  
L. J. Campbell ◽  
R. Ziff
Keyword(s):  

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