Uniqueness of Translation-Covariant Zero-Temperature Metastate in Disordered Ising Ferromagnets

Jan Wehr; Aramian Wasielak

doi:10.1007/s10955-015-1413-8

Uniqueness of Translation-Covariant Zero-Temperature Metastate in Disordered Ising Ferromagnets

Jan Wehr
, Aramian Wasielak

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

4 Scopus citations

Abstract

We study ground states of Ising models with random ferromagnetic couplings, proving the triviality of all zero-temperature metastates. This result sheds a new light on the properties of these systems, putting strong restrictions on their possible ground state structure. Open problems related to existence of interface-supporting ground states are stated and an interpretation of the main result in terms of first-passage and random surface models in a random environment is presented.

Original language	English (US)
Pages (from-to)	487-494
Number of pages	8
Journal	Journal of Statistical Physics
Volume	162
Issue number	2
DOIs	https://doi.org/10.1007/s10955-015-1413-8
State	Published - Jan 1 2016

Keywords

Disordered systems
Ising model
Metastates

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s10955-015-1413-8

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abstract = "We study ground states of Ising models with random ferromagnetic couplings, proving the triviality of all zero-temperature metastates. This result sheds a new light on the properties of these systems, putting strong restrictions on their possible ground state structure. Open problems related to existence of interface-supporting ground states are stated and an interpretation of the main result in terms of first-passage and random surface models in a random environment is presented.",

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AU - Wasielak, Aramian

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N2 - We study ground states of Ising models with random ferromagnetic couplings, proving the triviality of all zero-temperature metastates. This result sheds a new light on the properties of these systems, putting strong restrictions on their possible ground state structure. Open problems related to existence of interface-supporting ground states are stated and an interpretation of the main result in terms of first-passage and random surface models in a random environment is presented.

AB - We study ground states of Ising models with random ferromagnetic couplings, proving the triviality of all zero-temperature metastates. This result sheds a new light on the properties of these systems, putting strong restrictions on their possible ground state structure. Open problems related to existence of interface-supporting ground states are stated and an interpretation of the main result in terms of first-passage and random surface models in a random environment is presented.

KW - Disordered systems

KW - Ising model

KW - Metastates

UR - https://www.scopus.com/pages/publications/84953840423

UR - https://www.scopus.com/pages/publications/84953840423#tab=citedBy

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ER -

Uniqueness of Translation-Covariant Zero-Temperature Metastate in Disordered Ising Ferromagnets

Abstract

Keywords

ASJC Scopus subject areas

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