The phase diagram of the gonihedric 3d Ising model via CVM

E. N M Cirillo, G. Gonnella, D. A. Johnston, A. Pelizzola

Research output: Contribution to journalArticle

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Abstract

We use the cluster variation method (CVM) to investigate the phase structure of the 3d gonihedric Ising actions defined by Savvidy and Wegner. The geometrical spin cluster boundaries in these systems serve as models for the string worldsheets of the gonihedric string embedded in Z3. The models are interesting from the statistical mechanical point of view because they have a vanishing bare surface tension. As a result the action depends only on the angles of the discrete surface and not on the area, which is the antithesis of the standard 3d Ising model. The results obtained with the CVM are in good agreement with Monte Carlo simulations for the critical temperatures and the order of the transition as the self-avoidance coupling ? is varied. The value of the magnetization critical exponent ß = 0.062 ± 0.003, calculated with the cluster variation-Padé approximant method, is also close to the simulation results.

Original languageEnglish
Pages (from-to)59-64
Number of pages6
JournalPhysics Letters A
Volume226
Issue number1-2
Publication statusPublished - 10 Feb 1997

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    Cirillo, E. N. M., Gonnella, G., Johnston, D. A., & Pelizzola, A. (1997). The phase diagram of the gonihedric 3d Ising model via CVM. Physics Letters A, 226(1-2), 59-64.