ON PHASE TRANSITIONS ON BETHE LATTICES
1994 ◽
Vol 08
(25)
◽
pp. 1587-1590
◽
Keyword(s):
Starting from some recent rigorous results about correlation functions of statistical model on tree structures, we analyze the nature of phase transitions occurring on Bethe lattices, showing the lack of long range order and the purely geometrical origin of the thermodynamic singularities. This approach gives a very simple formula for the critical temperature for any model with compact symmetry group and immediately leads to the value 1 for the critical exponent γ. The “geometrical” critical behavior only partially coincides with the mean field solution and violates the usual scaling relations.
1993 ◽
Vol 07
(29n30)
◽
pp. 1947-1950
◽
Keyword(s):
1993 ◽
Vol 07
(27)
◽
pp. 1725-1731
◽
2014 ◽
Vol 215
◽
pp. 55-60
◽
1994 ◽
Vol 08
(28)
◽
pp. 3963-3986
2019 ◽
pp. 423-446
Keyword(s):