Fixed boundary conditions analysis of the 3d gonihedric Ising model with κ = 0

M. Baig; J. Clua; D. A. Johnston; R. Villanova

doi:10.1016/j.physletb.2004.02.002

Fixed boundary conditions analysis of the 3d gonihedric Ising model with κ = 0

M. Baig, J. Clua, D. A. Johnston, R. Villanova

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5 Citations (Scopus)

Abstract

The gonihedric Ising model is a particular case of the class of models defined by Savvidy and Wegner intended as discrete versions of string theories on cubic lattices. In this Letter we perform a high statistics analysis of the phase transition exhibited by the 3d gonihedric Ising model with k=0 in the light of a set of recently stated scaling laws applicable to first order phase transitions with fixed boundary conditions. Even though qualitative evidence was presented in a previous paper to support the existence of a first order phase transition at k=0, only now are we capable of pinpointing the transition inverse temperature at ß_c=0.54757(63) and of checking the scaling of standard observables. © 2004 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	180-186
Number of pages	7
Journal	Physics Letters B
Volume	585
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physletb.2004.02.002
Publication status	Published - 8 Apr 2004

Keywords

05.10.-a
05.50.+q
05.70.Fh
75.10.Hk
Fixed boundary conditions
Gonihedric models
Phase transitions
Spin systems

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10.1016/j.physletb.2004.02.002

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title = "Fixed boundary conditions analysis of the 3d gonihedric Ising model with κ = 0",

abstract = "The gonihedric Ising model is a particular case of the class of models defined by Savvidy and Wegner intended as discrete versions of string theories on cubic lattices. In this Letter we perform a high statistics analysis of the phase transition exhibited by the 3d gonihedric Ising model with k=0 in the light of a set of recently stated scaling laws applicable to first order phase transitions with fixed boundary conditions. Even though qualitative evidence was presented in a previous paper to support the existence of a first order phase transition at k=0, only now are we capable of pinpointing the transition inverse temperature at {\ss}c=0.54757(63) and of checking the scaling of standard observables. {\textcopyright} 2004 Elsevier B.V. All rights reserved.",

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AU - Baig, M.

AU - Clua, J.

AU - Johnston, D. A.

AU - Villanova, R.

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N2 - The gonihedric Ising model is a particular case of the class of models defined by Savvidy and Wegner intended as discrete versions of string theories on cubic lattices. In this Letter we perform a high statistics analysis of the phase transition exhibited by the 3d gonihedric Ising model with k=0 in the light of a set of recently stated scaling laws applicable to first order phase transitions with fixed boundary conditions. Even though qualitative evidence was presented in a previous paper to support the existence of a first order phase transition at k=0, only now are we capable of pinpointing the transition inverse temperature at ßc=0.54757(63) and of checking the scaling of standard observables. © 2004 Elsevier B.V. All rights reserved.

AB - The gonihedric Ising model is a particular case of the class of models defined by Savvidy and Wegner intended as discrete versions of string theories on cubic lattices. In this Letter we perform a high statistics analysis of the phase transition exhibited by the 3d gonihedric Ising model with k=0 in the light of a set of recently stated scaling laws applicable to first order phase transitions with fixed boundary conditions. Even though qualitative evidence was presented in a previous paper to support the existence of a first order phase transition at k=0, only now are we capable of pinpointing the transition inverse temperature at ßc=0.54757(63) and of checking the scaling of standard observables. © 2004 Elsevier B.V. All rights reserved.

KW - 05.10.-a

KW - 05.50.+q

KW - 05.70.Fh

KW - 75.10.Hk

KW - Fixed boundary conditions

KW - Gonihedric models

KW - Phase transitions

KW - Spin systems

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VL - 585

SP - 180

EP - 186

JO - Physics Letters B

JF - Physics Letters B

IS - 1-2

ER -

Fixed boundary conditions analysis of the 3d gonihedric Ising model with κ = 0

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Keywords

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