Curvilinear coordinates in the scaling theory of tricritical points

David J. Bergman; Yoseph Imry; Ora Entin-Wohlman

doi:10.1016/0038-1098(73)90261-5

Curvilinear coordinates in the scaling theory of tricritical points

David J. Bergman, Yoseph Imry, Ora Entin-Wohlman

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6 Scopus citations

Abstract

We demonstrate the existence of homogeneity properties of the singular part of the free energy at the tricritical point of a soluble magneto-elastic model. The free energy is only homogeneous when viewed as a function of the appropriate curvilinear coordinates in the space of independent thermodynamic variables. It is not homogeneous as a function of the linear coordinates of either Griffiths of Riedel. The implications of this result for the general scaling theory of tricritical points are discussed.

Original language	English
Pages (from-to)	1665-1668
Number of pages	4
Journal	Solid State Communications
Volume	13
Issue number	10
DOIs	https://doi.org/10.1016/0038-1098(73)90261-5
State	Published - 15 Nov 1973
Externally published	Yes

ASJC Scopus subject areas

General Chemistry
Condensed Matter Physics
Materials Chemistry

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10.1016/0038-1098(73)90261-5

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title = "Curvilinear coordinates in the scaling theory of tricritical points",

abstract = "We demonstrate the existence of homogeneity properties of the singular part of the free energy at the tricritical point of a soluble magneto-elastic model. The free energy is only homogeneous when viewed as a function of the appropriate curvilinear coordinates in the space of independent thermodynamic variables. It is not homogeneous as a function of the linear coordinates of either Griffiths of Riedel. The implications of this result for the general scaling theory of tricritical points are discussed.",

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AU - Bergman, David J.

AU - Imry, Yoseph

AU - Entin-Wohlman, Ora

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Y1 - 1973/11/15

N2 - We demonstrate the existence of homogeneity properties of the singular part of the free energy at the tricritical point of a soluble magneto-elastic model. The free energy is only homogeneous when viewed as a function of the appropriate curvilinear coordinates in the space of independent thermodynamic variables. It is not homogeneous as a function of the linear coordinates of either Griffiths of Riedel. The implications of this result for the general scaling theory of tricritical points are discussed.

AB - We demonstrate the existence of homogeneity properties of the singular part of the free energy at the tricritical point of a soluble magneto-elastic model. The free energy is only homogeneous when viewed as a function of the appropriate curvilinear coordinates in the space of independent thermodynamic variables. It is not homogeneous as a function of the linear coordinates of either Griffiths of Riedel. The implications of this result for the general scaling theory of tricritical points are discussed.

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JO - Solid State Communications

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Curvilinear coordinates in the scaling theory of tricritical points

Abstract

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