Heriot-Watt Mathematics Report Series
HWM97-3,

String Tension Scaling in Gonihedric 3D Ising Models

M Baig , D Espriu, D Johnston and R Malmini


Abstract

For a class of Ising models defined by Savvidy and Wegner the bare string tension is zero and the energy of a spin interface depends only on the number of bends and self-intersections, in antithesis to the standard 3D ising action. In this paper we investigate the scaling of the renormalized string tension, which is entirely generated by fluctuations, using Monte-carlo simulations.

The scaling of the string tension allows us to obtains estimates of the critical exponents alpha and nu using both finite-size scaling and data collapse techniques.

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Full text: http://www.ma.hw.ac.uk/~des/malpap3.ps


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