5 papers
Extending the Biswas--Chatterjee--Sen model with nonconformists and inflexibles
Amit Pradhan, Parongama Sen, Krzysztof Malarz
Originally, the Biswas--Chatterjee--Sen model was shown to exhibit an order/disorder phase transition for a sufficiently large number of negative interactions among actors. In this…
Relationship between Heider links and Ising spins
ZdzisÅaw Burda, Maciej WoÅoszyn, Krzysztof Malarz +1
We show that the Heider model with an external field is equivalent, in the limit of structural balance, to the Ising model with nearest-neighbor interactions without an external fi…
Heider balance of a square lattice in an external field
ZdzisÅaw Burda, Maciej WoÅoszyn, Krzysztof Malarz +1
We discuss the Heider model in the presence of an external social field. This field was introduced to break the symmetry between the probabilities of hostile and friendly relations…
Random site percolation thresholds on square lattice for complex neighborhoods containing sites up to the sixth coordination zone
Krzysztof Malarz
The site percolation problem is one of the core topics in statistical physics. Evaluation of the percolation threshold, which separates two phases (sometimes described as conductin…
Heider balance on Archimedean lattices and cliques
Krzysztof Malarz, Maciej WoÅoszyn, Krzysztof KuÅakowski
We investigate the work function for the Heider balance, driven by a thermal noise , on several planar networks that contain separated triangles, pairs of triangles, chai…