TY - JOUR
T1 - Rigorous relations for the cross-over behaviour due to random perturbations
AU - Shapir, Y.
AU - Aharony, A.
PY - 1981
Y1 - 1981
N2 - Derivatives of averaged response functions with respect to random perturbations are related exactly, in the limit of vanishing perturbations, to known thermodynamic functions of the pure model. Near the critical point, these relations confirm the values of the cross-over exponents (without assuming hyperscaling) and yield exact values for the related amplitudes. The examples of random fields and random exchange interactions are discussed in detail.
AB - Derivatives of averaged response functions with respect to random perturbations are related exactly, in the limit of vanishing perturbations, to known thermodynamic functions of the pure model. Near the critical point, these relations confirm the values of the cross-over exponents (without assuming hyperscaling) and yield exact values for the related amplitudes. The examples of random fields and random exchange interactions are discussed in detail.
UR - http://www.scopus.com/inward/record.url?scp=24844441923&partnerID=8YFLogxK
U2 - 10.1088/0022-3719/14/30/002
DO - 10.1088/0022-3719/14/30/002
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AN - SCOPUS:24844441923
SN - 0022-3719
VL - 14
SP - L905-L910
JO - Journal of Physics C: Solid State Physics
JF - Journal of Physics C: Solid State Physics
IS - 30
M1 - 002
ER -