Convexity of the free energy in some real-space renormalization-group approximations

Miron Kaufman; Robert B. Griffiths

Convexity of the free energy in some real-space renormalization-group approximations

Miron Kaufman, Robert B. Griffiths

Cleveland State University

Carnegie Mellon University

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

Abstract

Whereas the free energy for a spin system in a hierarchical lattice will be convex as a function of appropriate parameters (and thus the heat capacity positive, etc.), the same need not be true of a corresponding approximate real-space renormalization-group method applied to a Bravais lattice. Some examples are given which illustrate this point.

Original language	American English
Journal	Phys. Rev. B
Volume	28
State	Published - Oct 1 1983

Disciplines

Physics

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Cite this

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title = "Convexity of the free energy in some real-space renormalization-group approximations",

abstract = " Whereas the free energy for a spin system in a hierarchical lattice will be convex as a function of appropriate parameters (and thus the heat capacity positive, etc.), the same need not be true of a corresponding approximate real-space renormalization-group method applied to a Bravais lattice. Some examples are given which illustrate this point.",

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AB - Whereas the free energy for a spin system in a hierarchical lattice will be convex as a function of appropriate parameters (and thus the heat capacity positive, etc.), the same need not be true of a corresponding approximate real-space renormalization-group method applied to a Bravais lattice. Some examples are given which illustrate this point.

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JO - Phys. Rev. B

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