On the critical cluster in the two-dimensional Ising model: Computer-assisted exact results

Vitaly Shneidman; Gelu Nita

doi:10.1063/1.1814080

On the critical cluster in the two-dimensional Ising model: Computer-assisted exact results

Vitaly Shneidman
, Gelu Nita

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

9 Scopus citations

Abstract

For a nearest-neighbor Ising model on a square lattice all cluster configurations with 17 or fewer spins are identified. In neglect of cluster-cluster interactions, critical sizes and barriers to nucleation are obtained as functions of temperature and magnetic field for two alternative definitions of a κcritical cluster."

Original language	English (US)
Article number	8
Pages (from-to)	11232-11239
Number of pages	8
Journal	Journal of Chemical Physics
Volume	121
Issue number	22
DOIs	https://doi.org/10.1063/1.1814080
State	Published - Dec 8 2004

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1063/1.1814080

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title = "On the critical cluster in the two-dimensional Ising model: Computer-assisted exact results",

abstract = "For a nearest-neighbor Ising model on a square lattice all cluster configurations with 17 or fewer spins are identified. In neglect of cluster-cluster interactions, critical sizes and barriers to nucleation are obtained as functions of temperature and magnetic field for two alternative definitions of a κcritical cluster.{"}",

author = "Vitaly Shneidman and Gelu Nita",

year = "2004",

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volume = "121",

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T1 - On the critical cluster in the two-dimensional Ising model

T2 - Computer-assisted exact results

AU - Shneidman, Vitaly

AU - Nita, Gelu

PY - 2004/12/8

Y1 - 2004/12/8

N2 - For a nearest-neighbor Ising model on a square lattice all cluster configurations with 17 or fewer spins are identified. In neglect of cluster-cluster interactions, critical sizes and barriers to nucleation are obtained as functions of temperature and magnetic field for two alternative definitions of a κcritical cluster."

AB - For a nearest-neighbor Ising model on a square lattice all cluster configurations with 17 or fewer spins are identified. In neglect of cluster-cluster interactions, critical sizes and barriers to nucleation are obtained as functions of temperature and magnetic field for two alternative definitions of a κcritical cluster."

UR - https://www.scopus.com/pages/publications/11144297302

UR - https://www.scopus.com/pages/publications/11144297302#tab=citedBy

U2 - 10.1063/1.1814080

DO - 10.1063/1.1814080

M3 - Article

C2 - 15634079

AN - SCOPUS:11144297302

SN - 0021-9606

VL - 121

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EP - 11239

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 22

M1 - 8

ER -

On the critical cluster in the two-dimensional Ising model: Computer-assisted exact results

Abstract

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