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- Max Planck Institute for Mathematics in the SciencesDE139 papers
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8 papers · 2 filters
Fractal Structure of Spin Clusters and Domain Walls in 2D Ising Model
Wolfhard Janke, Adriaan M. J. Schakel
The fractal structure of spin clusters and their boundaries in the critical two-dimensional (2D) Ising model is investigated numerically. The fractal dimensions of these geometrica…
Geometrical Phase Transitions
Wolfhard Janke, Adriaan M. J. Schakel
The geometrical approach to phase transitions is illustrated by simulating the high-temperature representation of the Ising model on a square lattice.
Dyck Paths, Motzkin Paths and Traffic Jams
R. A. Blythe, W. Janke, D. A. Johnston +1
It has recently been observed that the normalization of a one-dimensional out-of-equilibrium model, the Asymmetric Exclusion Process (ASEP) with random sequential dynamics, is exac…
Distributive routing & congestion control in wireless multihop ad hoc communication networks
Ingmar Glauche, Wolfram Krause, Rudolf Sollacher +1
Due to their inherent complexity, engineered wireless multihop ad hoc communication networks represent a technological challenge. Having no mastering infrastructure the nodes have…
Detecting fuzzy community structures in complex networks with a Potts model
Joerg Reichardt, Stefan Bornholdt
A fast community detection algorithm based on a q-state Potts model is presented. Communities in networks (groups of densely interconnected nodes that are only loosely connected to…
Phase Transition Strength through Densities of General Distributions of Zeroes
W. Janke, D. A. Johnston, R. Kenna
A recently developed technique for the determination of the density of partition function zeroes using data coming from finite-size systems is extended to deal with cases where the…