Unstable network fragmentation in co-evolution of Potts spins and system topology

Joanna Toruniewska , Krzysztof Suchecki , Janusz Hołyst

Abstract

We investigate co-evolution of discrete q-state Potts model and the underlying network topology, where spin changes and link re-wiring follow the same canonical ensemble dynamics in a constant temperature. It means that there are no absorbing, frozen states present in our model. Depending on the temperature T and probability of link dynamics p the system can exist in one of three states: ordered, disordered and ordered clusters (fragmented network), with the last being unstable and slowly relaxing into ordered state. The transition from ordered clusters to globally ordered system is characterized by non-exponential, slow growth of the order parameter. We investigate this process analytically and explain the transition characteristics as the result of the dominance of activity of "surface" nodes in each ordered cluster, as opposed to "bulk" nodes that are inactive. © 2016 Elsevier B.V. All rights reserved.
Author Joanna Toruniewska PFENS
Joanna Toruniewska,,
- Center of Physics in Economics and Social Sciences
, Krzysztof Suchecki PFENS
Krzysztof Suchecki,,
- Center of Physics in Economics and Social Sciences
, Janusz Hołyst PFENS
Janusz Hołyst,,
- Center of Physics in Economics and Social Sciences
Journal seriesPhysica A-Statistical Mechanics and Its Applications, ISSN 0378-4371
Issue year2016
Vol460
Pages1-15
Publication size in sheets15
Keywords in EnglishComplex networks; Potts model; Spin dynamics, Canonical ensemble; Co-evolution; Constant temperature; Fragmentation; Order parameter; Q-state Potts model; System topology; Underlying networks, Topology
DOIDOI:10.1016/j.physa.2016.04.029
URL https://www.scopus.com/inward/record.uri?eid=2-s2.0-84969529183&partnerID=40&md5=430c9d8b29a01f177683fd521d33e090
projectSelf-Organised information PrOcessing, CriticaLity and Emergence in multilevel Systems . Project leader: Hołyst Janusz, , Phone: 22 234 7133, start date 01-12-2012, end date 30-11-2015, 317534, Completed
WF 7 Framework Programme (7 FP) [7 Program Ramowy (7 PR)]
Languageen angielski
Score (nominal)30
ScoreMinisterial score = 30.0, 28-11-2017, ArticleFromJournal
Ministerial score (2013-2016) = 30.0, 28-11-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 2.243 (2) - 2016=2.146 (5)
Citation count*2 (2018-02-22)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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