### Abstract

We consider general even ferromagnetic systems with pair interactions in a nonnegative external magnetic field h. Classes of single-site measures ρ are found such that the GHS inequality is valid for all h ≥ h, where h ≥ 0 is a number depending on ρ but independent of the size of the system. These measures include both absolutely continuous and discrete measures. For ρ =a δ_{0}+{(1-a)/2} · (δ_{1} +δ_{-1}), some a ε [0, 1), h is determined exactly.

Original language | English (US) |
---|---|

Pages (from-to) | 37-52 |

Number of pages | 16 |

Journal | Journal of Statistical Physics |

Volume | 26 |

Issue number | 1 |

DOIs | |

State | Published - Sep 1981 |

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### Keywords

- correlation inequalities
- general even ferromagnetic systems
- GHS inequality

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

*Journal of Statistical Physics*,

*26*(1), 37-52. https://doi.org/10.1007/BF01106784

**The GHS inequality for a large external field.** / Ellis, Richard S.; Newman, Charles M.; O'Connell, Michael R.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 26, no. 1, pp. 37-52. https://doi.org/10.1007/BF01106784

}

TY - JOUR

T1 - The GHS inequality for a large external field

AU - Ellis, Richard S.

AU - Newman, Charles M.

AU - O'Connell, Michael R.

PY - 1981/9

Y1 - 1981/9

N2 - We consider general even ferromagnetic systems with pair interactions in a nonnegative external magnetic field h. Classes of single-site measures ρ are found such that the GHS inequality is valid for all h ≥ h, where h ≥ 0 is a number depending on ρ but independent of the size of the system. These measures include both absolutely continuous and discrete measures. For ρ =a δ0+{(1-a)/2} · (δ1 +δ-1), some a ε [0, 1), h is determined exactly.

AB - We consider general even ferromagnetic systems with pair interactions in a nonnegative external magnetic field h. Classes of single-site measures ρ are found such that the GHS inequality is valid for all h ≥ h, where h ≥ 0 is a number depending on ρ but independent of the size of the system. These measures include both absolutely continuous and discrete measures. For ρ =a δ0+{(1-a)/2} · (δ1 +δ-1), some a ε [0, 1), h is determined exactly.

KW - correlation inequalities

KW - general even ferromagnetic systems

KW - GHS inequality

UR - http://www.scopus.com/inward/record.url?scp=32144440437&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=32144440437&partnerID=8YFLogxK

U2 - 10.1007/BF01106784

DO - 10.1007/BF01106784

M3 - Article

VL - 26

SP - 37

EP - 52

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 1

ER -