activity
20062026
most citedOrder-disorder phase transition in a cliquey social network

49 citations · 52 across the 7 of their papers we have counts for

collaborators

7 papers

physics.comp-ph2026

Random site percolation with complex neighborhoods in five dimension

Krzysztof Malarz, Maciej Wołoszyn

In this paper, the random site percolation problem in a five-dimensional space for complex neighborhoods is studied. The efficient C++ code (with ordinary work division) of the cla…

cond-mat.stat-mech2025

Heider balance in square versus triangular lattices under an external field

Zdzisław Burda, Maciej Wołoszyn, Krzysztof Malarz +1

We discuss the Heider model in the presence of an external social field. This field breaks the possible symmetry between the probabilities of hostile and friendly relationships. We…

cond-mat.stat-mech2025

Relationship between Heider links and Ising spins

Zdzisław Burda, Maciej Wołoszyn, 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…

cond-mat.stat-mech2025★ 1 cited

Lower limit of percolation threshold on a square lattice with complex neighborhoods

Antoni Ciepłucha, Marcin Utnicki, Maciej Wołoszyn +1

In this paper, the 60-year-old concept of long-range interaction in percolation problems introduced by Dalton, Domb, and Sykes, is reconsidered. With Monte Carlo simulation -- base…

physics.soc-ph2025★ 2 cited

Fine structure of phase diagram for social impact theory

Krzysztof Malarz, Maciej Wołoszyn

In this paper, the social impact theory introduced by Latané is reconsidered. A fully differentiated society is considered; that is, initially every actor has their own opinion. Th…

physics.soc-ph2024

Heider balance on Archimedean lattices and cliques

Krzysztof Malarz, Maciej Wołoszyn, Krzysztof Kułakowski

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…

physics.soc-ph2006★ 49 cited

Order-disorder phase transition in a cliquey social network

M. Woloszyn, D. Stauffer, K. Kulakowski

We investigate the network model of community by Watts, Dodds and Newman (D. J. Watts et al., Science 296 (2002) 1302) as a hierarchy of groups, each of 5 individuals. A homophily…