Journal article

Exact solution of the discrete (1 1)-dimensional RSOS model with field and surface interactions

AL Owczarek, T Prellberg

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | IOP PUBLISHING LTD | Published : 2009

Abstract

We present the solution of a linear restricted solid-on-solid (RSOS) model in a field. Aside from the origins of this model in the context of describing the phase boundary in a magnet, interest also comes from more recent work on the steady state of non-equilibrium models of molecular motors. While similar to a previously solved (non-restricted) SOS model in its physical behaviour, mathematically the solution is more complex. Involving basic hypergeometric functions 3φ2, it introduces a new form of solution to the lexicon of directed lattice path generating functions. © 2009 IOP Publishing Ltd.

University of Melbourne Researchers

Grants

Funding Acknowledgements

We thank J F Marko for suggesting this problem to us. Financial support from the Australian Research Council via its support for the Centre of Excellence for Mathematics and Statistics of Complex Systems is gratefully acknowledged by the authors. A L Owczarek thanks the School of Mathematical Sciences, Queen Mary, University of London for hospitality.