17 papers
Softening Transitions with Quenched 2D Gravity
C. F. Baillie, W. Janke, D. A. Johnston
We perform extensive Monte Carlo simulations of the 10-state Potts model on quenched two-dimensional gravity graphs to study the effect of quenched connectivity disorder on t…
Dynamic Behavior of Spin Glass Systems on Quenched Phi-3 Graphs
C. Baillie, D. A. Johnston, E. Marinari +1
We study the dynamical out-of-equilibrium behavior of a Ising spin glass on quenched graphs. We show that magnetization and energy decay with a power law behavi…
Thin Absolute Villains
C. F. Baillie, N. Dorey, W. Janke +1
We perform simulations of an absolute value version of the Villain model on phi3 and phi4 Feynman diagrams, ``thin'' 3-regular and 4-regular random graphs. The phi4 results are in…
Spin Models on Thin Graphs
C. F. Baillie, D. A. Johnston
We discuss the utility of analytical and numerical investigation of spin models, in particular spin glasses, on ordinary ``thin'' random graphs (in effect Feynman diagrams) using m…
Spin Glasses on Thin Graphs
C. F. Baillie, W. Janke, D. A. Johnston +1
In a recent paper we found strong evidence from simulations that the Isingantiferromagnet on ``thin'' random graphs - Feynman diagrams - displayed amean-field spin glass transition…
Ising Spins on Thin Graphs
C. F. Baillie, D. A. Johnston, J-P. Kownacki
The Ising model on ``thin'' graphs (standard Feynman diagrams) displays several interesting properties. For ferromagnetic couplings there is a mean field phase transition at the co…