40 citations · 141 across the 9 of their papers we have counts for
8 papers · 1 filter
Convergence of Stochastic Approximation Monte Carlo and modified Wang-Landau algorithms: Tests for the Ising model
Simon Schneider, Marco Mueller, Wolfhard Janke
We investigate the behavior of the deviation of the estimator for the density of states (DOS) with respect to the exact solution in the course of Wang-Landau and Stochastic Approxi…
Plaquette Ising models, degeneracy and scaling
Desmond A. Johnston, Marco Mueller, Wolfhard Janke
We review some recent investigations of the 3d plaquette Ising model. This displays a strong first-order phase transition with unusual scaling properties due to the size-dependent…
Exact solutions to plaquette Ising models with free and periodic boundaries
Marco Mueller, Wolfhard Janke, Desmond A. Johnston
An anisotropic limit of the 3d plaquette Ising model, in which the plaquette couplings in one direction were set to zero, was solved for free boundary conditions by Suzuki (Phys. R…
Macroscopic Degeneracy and order in the 3d plaquette Ising model
Desmond A. Johnston, Marco Mueller, Wolfhard Janke
The purely plaquette 3d Ising Hamiltonian with the spins living at the vertices of a cubic lattice displays several interesting features. The symmetries of the model lead to a macr…
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…
Transmuted finite-size scaling at first-order phase transitions
Marco Mueller, Wolfhard Janke, Desmond A. Johnston
It is known that fixed boundary conditions modify the leading finite-size corrections for an L^3 lattice in 3d at a first-order phase transition from 1/L^3 to 1/L. We note that an…
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…
Non-Standard Finite-Size Scaling at First-Order Phase Transitions
Marco Mueller, Wolfhard Janke, Desmond A. Johnston
We note that the standard inverse system volume scaling for finite-size corrections at a first-order phase transition (i.e., 1/L^3 for an L x L x L lattice in 3D) is transmuted to…