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 -