Rigorous relations for the cross-over behaviour due to random perturbations

Y. Shapir; A. Aharony

doi:10.1088/0022-3719/14/30/002

Rigorous relations for the cross-over behaviour due to random perturbations

Y. Shapir, A. Aharony

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

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.

Original language	English
Article number	002
Pages (from-to)	L905-L910
Journal	Journal of Physics C: Solid State Physics
Volume	14
Issue number	30
DOIs	https://doi.org/10.1088/0022-3719/14/30/002
State	Published - 1 Dec 1981
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
General Engineering
General Physics and Astronomy

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10.1088/0022-3719/14/30/002

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abstract = "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.",

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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.

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Rigorous relations for the cross-over behaviour due to random perturbations

Abstract

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