 9269 Guerra F.
 FLUCTUATIONS AND THERMODYNAMIC VARIABLES
IN MEAN FIELD SPIN GLASS MODELS
(45K, TeX)
Jun 11, 92

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We present two rigorous results on the SherringtonKirkpatrick mean field model
for spin glasses, proven by elementary methods, based on properties of
fluctuations, with respect to the external quenched noise, of the thermodynamic
variables and order parameters. The first result gives the {\sl uniform}
convergence of the quenched average of the free energy in the thermodynamic
limit to its annealed approximation, in the high temperature regime, {\sl
including} the assumed critical point ($\beta=1$ in our notations). The second
result shows that the free energy can be expressed through a functional order
parameter, of the type introduced by Parisi in the frame of the replica
symmetry breaking method. The functional order parameter is implicitely given
in terms of fluctuations of thermodynamic variables.
 Files:
9269.tex