Quantum Physics Division

Publications

The gonihedric Ising model and glassines

D. A. Johnston^{1}
,
A. Lipowski^{2}
,
R. P. K. C. Malmini^{3}

^{1} Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Riccarton Edinburgh, EH14 4AS, Scotland

^{2} Institute of Physics, Adam Mickiewicz University, ul. Umultowska 85, PL 61-614 Poznań, Poland

^{3} Department of Mathematics, University of Sri Jayewardenepura, Gangodawila, Sri Lanka

**Lecture Notes in Physics, 736 , 173 (2008)**

Abstract:

The Gonihedric 3D Ising model is a lattice spin model in which planar Peierls boundaries between + and - spins can be created at zero energy cost. Instead of weighting the area of Peierls boundaries as the case for the usual 3D Ising model with nearest neighbour interactions, he edges, or "bends" in an interface are weighted, a concept which is related to the intrinsic curvature of the boundaries in the continuum. In these notes we follow a roughly chronological order by first reviewing the background to the formulation of the model, before moving on to the elucidation of the equilibrium phase diagram by various means and then to investigation of the non-equilibrium, glassy behaviour of the model.

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