Personal profile

Research interests

I am interested in simulations (and even occasional calculations) with various sorts of matter on dynamical lattices, random surfaces and random graphs and have also made some forays into solvable nonequilibrium models such as the ASEP (Asymmmetric Exclusion Process) and ZRP (Zero Range Process). I survived coordinating an EC HCM network grant: "Analytical and Numerical Investigations of Random Geometries" (1993-1996) with only marginal hair loss and was mad enough to take on coordinating another EC IHP network grant "Discrete Random Geometries: From Solid State Physics to Quantum Gravity" and an associated ESF network for the period 2000-2004 but I cunningly passed the role of network co-ordinator onto Renate Loll for the Framework 6 network ENRAGE (2005-2009).

Biography

Emerging from a PhD in Theoretical Physics at Imperial College in 1986 into a rather bleak Thatcherite landscape I decided to go abroad, first to LPTHE Orsay near Paris in 1986-7, then to Caltech in 1987-9. I managed to be in Berlin in 1989 at the Free University for a few months while the wall came down before rounding off my wanderings in Lancaster as a temporary lecturer in physics in 1990. It occured to me that I could apply for jobs in mathematics as well as physics, which I did, and ended up as a lecturer at Heriot-Watt in 1990. I have been here ever since as a senior lecturer, reader and professor apart from a year's leave of absence in 1993-4 as a Marie Curie Fellow at Orsay again and shorter soujorns at the Institut Henri Poincare, the Niels Bohr Institute and Nordita.

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Model Mathematics
Ising model Engineering & Materials Science
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Gravitation Engineering & Materials Science
gravitation Physics & Astronomy
Graph in graph theory Mathematics
Random graphs Mathematics
Temperature Engineering & Materials Science

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Research Output 1991 2017

Exact solutions to plaquette Ising models with free and periodic boundaries

Mueller, M., Johnston, D. A. & Janke, W. Jan 2017 In : Nuclear Physics B. 914, p. 388-404 17 p.

Research output: Contribution to journalArticle

Open Access
File
Ising model
boundary conditions
Boundary conditions
Model
products

Plaquette Ising models, degeneracy and scaling

Johnston, D. A., Mueller, M. & Janke, W. 5 Apr 2017 In : European Physical Journal-Special topics. 226, 4, p. 749–764 16 p.

Research output: Contribution to journalArticle

Open Access
File
Degeneracy
Scaling
Ising model
scaling
Phase transitions

Finite-size scaling and latent heat at the gonihedric first-order phase transition

Janke, W., Mueller, M. & Johnston, D. A. 2015 In : Journal of Physics: Conference Series. 640, 7 p., 012002

Research output: Contribution to journalArticle

Open Access
File
Periodic boundary conditions
Boundary conditions
boundary conditions
boundary condition
First-order phase transition

Macroscopic degeneracy and order in the 3D plaquette Ising model

Johnston, D. A., Mueller, M. & Janke, W. 2015 In : Modern Physics Letters B. 29, 10 p., 1550109

Research output: Contribution to journalArticle

File
Degeneracy
Model
Temperature
Phase change
Finite-size scaling

Planar ordering in the plaquette-only gonihedric Ising model

Mueller, M., Janke, W. & Johnston, D. A. May 2015 In : Nuclear Physics B. 894, 1, p. 1-14 14 p.

Research output: Contribution to journalArticle

Open Access
File
Order parameter
Model
Temperature
Ising model
Simulation