Random-Field Critical Behavior

Miron Kaufman

doi:10.1016/S0749-6036(85)80024-0

Random-Field Critical Behavior

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

Abstract

Interpretations of heat capacity data fron the random system Fe _1-x Zn _x F ₂ are presented. The Ginzburg criterion is extended to random-field systems and it is argued that the failure of the supersymmetry formalism prediction of dimensional reduction by two is due to the divergence of thermal fluctuations in fewer than four spatial dimensions. The droplet model for randomfields is studied and a first-order transition is predicted for any infinitesimal randomfield in the neighborhood of the zero-fieldcritical point.

Original language	American English
Journal	Superlattices and Microstructures
Volume	1
DOIs	https://doi.org/10.1016/S0749-6036(85)80024-0
State	Published - Jan 1 1985

Disciplines

Physics

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10.1016/S0749-6036(85)80024-0License: CC BY

http://www.sciencedirect.com/science/article/pii/S0749603685800240

Cite this

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title = "Random-Field Critical Behavior",

abstract = " Interpretations of heat capacity data fron the random system Fe 1-x Zn x F 2 are presented. The Ginzburg criterion is extended to random-field systems and it is argued that the failure of the supersymmetry formalism prediction of dimensional reduction by two is due to the divergence of thermal fluctuations in fewer than four spatial dimensions. The droplet model for randomfields is studied and a first-order transition is predicted for any infinitesimal randomfield in the neighborhood of the zero-fieldcritical point.",

author = "Miron Kaufman",

note = "Kaufman, M. 1985. {"}Random-field critical behavior{"}. Superlattices and Microstructures. 1 (6): 511-15.",

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Y1 - 1985/1/1

N2 - Interpretations of heat capacity data fron the random system Fe 1-x Zn x F 2 are presented. The Ginzburg criterion is extended to random-field systems and it is argued that the failure of the supersymmetry formalism prediction of dimensional reduction by two is due to the divergence of thermal fluctuations in fewer than four spatial dimensions. The droplet model for randomfields is studied and a first-order transition is predicted for any infinitesimal randomfield in the neighborhood of the zero-fieldcritical point.

AB - Interpretations of heat capacity data fron the random system Fe 1-x Zn x F 2 are presented. The Ginzburg criterion is extended to random-field systems and it is argued that the failure of the supersymmetry formalism prediction of dimensional reduction by two is due to the divergence of thermal fluctuations in fewer than four spatial dimensions. The droplet model for randomfields is studied and a first-order transition is predicted for any infinitesimal randomfield in the neighborhood of the zero-fieldcritical point.

UR - https://engagedscholarship.csuohio.edu/sciphysics_facpub/167

UR - http://www.sciencedirect.com/science/article/pii/S0749603685800240

U2 - 10.1016/S0749-6036(85)80024-0

DO - 10.1016/S0749-6036(85)80024-0

M3 - Article

VL - 1

JO - Superlattices and Microstructures

JF - Superlattices and Microstructures

ER -

Random-Field Critical Behavior

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