957 citations
- Maxwell Institute for Mathematical SciencesGB96 papers
- Centre National de la Recherche ScientifiqueFR20 papers
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- Imperial College LondonGB12 papers
- University College LondonGB11 papers
- Leibniz University HannoverDE10 papers
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- University of GothenburgSE10 papers
- Vilnius UniversityLT10 papers
- Heriot-Watt University MalaysiaMY9 papers
9 papers · 1 filter
Partition Function Zeros of Paths and Normalization Zeros of ASEPS
Zdzislaw Burda, Desmond A. Johnston
We exploit the equivalence between the partition function of an adsorbing Dyck walk model and the Asymmetric Simple Exclusion Process (ASEP) normalization to obtain the thermodynam…
(Four) Dual Plaquette 3D Ising Models
Desmond A. Johnston, R. P. K. C. M. Ranasinghe
A characteristic feature of the 3d plaquette Ising model is its planar subsystem symmetry. The quantum version of this model has been shown to be related via a duality to the X-Cub…
Planar ordering in the plaquette-only gonihedric Ising model
Marco Mueller, Wolfhard Janke, Desmond A. Johnston
In this paper we conduct a careful multicanonical simulation of the isotropic plaquette ("gonihedric") Ising model and confirm that a planar, fuki-nuke type order characterise…
Multicanonical analysis of the plaquette-only gonihedric Ising model and its dual
Marco Mueller, Desmond A. Johnston, Wolfhard Janke
The three-dimensional purely plaquette gonihedric Ising model and its dual are investigated to resolve inconsistencies in the literature for the values of the inverse transition te…
Gonihedric (and Fuki-Nuke) Order
D. A. Johnston
A 3D Ising model with a purely plaquette, 4-spin interaction displays a planar flip symmetry intermediate between a global and a gauge symmetry and as a consequence has a highly de…
Continued Fractions and the Partially Asymmetric Exclusion Process
R. A. Blythe, W. Janke, D. A. Johnston +1
We note that a tridiagonal matrix representation of the algebra of the partially asymmetric exclusion process (PASEP) lends itself to interpretation as the transfer matrix for weig…