18 citations · 68 across the 10 of their papers we have counts for
10 papers
Change in the Order of a Phase Transition in the 2D Potts Model with Equivalent Neighbours
Petro Sarkanych
Two dimensional Potts model is a classical example where the symmetry of the order parameter controls the order of a phase transition: on a square lattice with nearest-neighbours i…
Collective decision-making with heterogeneous biases: Role of network topology and susceptibility
Yunus Sevinchan, Petro Sarkanych, Abi Tenenbaum +2
The ability of groups to make accurate collective decisions depends on a complex interplay of various factors, such as prior information, biases, social influence, and the structur…
Consensus decision making on a complete graph: complex behaviour from simple assumptions
P. Sarkanych, Yu. Sevinchan, M. Krasnytska +2
In this paper we investigate a model of consensus decision making [Hartnett A. T., et al., Phys. Rev. Lett., 2016, 116, 038701] following a statistical physics approach presented i…
Individual bias and fluctuations in collective decision making: from algorithms to Hamiltonians
Petro Sarkanych, Mariana Krasnytska, Luis Gómez-Nava +2
In this paper, we reconsider the spin model suggested recently to understand some features of collective decision making among higher organisms [A.T. Hartnett et al., Phys. Rev. Le…
Potts Model with Invisible States: A Review
Mariana Krasnytska, Petro Sarkanych, Bertrand Berche +2
The Potts model with invisible states was introduced to explain discrepancies between theoretical predictions and experimental observations of phase transitions in some systems whe…
Potts model with invisible states on a scale-free network
P. Sarkanych, M. Krasnytska
Different models are proposed to understand magnetic phase transitions through the prism of competition between the energy and the entropy. One of such models is a -state Potts…
Network analysis of the Kyiv bylyny cycle -- east Slavic epic narratives
Petro Sarkanych, Nazar Fedorak, Yurij Holovatch +3
In recent times, the advent of network science permitted new quantitative approaches to literary studies. Here we bring the Kyiv bylyny cycle into the field - East Slavic epic narr…
Ising model with invisible states on scale-free networks
Petro Sarkanych, Mariana Krasnytska
We consider the Ising model with invisible states on scale-free networks. Our goal is to investigate the interplay between the entropic and topological influence on a phase transit…
Classical phase transitions in a one-dimensional short-range spin model induced by entropy depletion or complex fields
Petro Sarkanych, Yurij Holovatch, Ralph Kenna
Ising's solution of a classical spin model famously demonstrated the absence of a positive-temperature phase transition in one-dimensional equilibrium systems with short-range inte…
Exact solution of a classical short-range spin model with a phase transition in one dimension: the Potts model with invisible states
Petro Sarkanych, Yurij Holovatch, Ralph Kenna
We present the exact solution of the 1D classical short-range Potts model with invisible states. Besides the states of the ordinary Potts model, this possesses additional s…