q-Neighbor Ising model on random networks

Anna Chmiel , Tomasz Gradowski , Andrzej Krawiecki

Abstract

A modified kinetic Ising model with Metropolis dynamics, so-called q-neighbor Ising model, is investigated on random graphs. In this model, each spin interacts only with q spins randomly chosen from its neighborhood. Investigations are performed by means of Monte Carlo (MC) simulations and the analytic pair approximation (PA). The range of parameters such as the size of the q-neighborhood and the mean degree of nodes of the random graph is determined for which the model exhibits continuous or discontinuous ferromagnetic (FM) phase transition with decreasing temperature. It is also shown that, in the case of discontinuous transition for large enough and fixed mean degree of nodes, the width of the hysteresis loop oscillates with the parameter q, expanding for even and shrinking for odd values of q. Predictions of the PA show satisfactory quantitative agreement with results of MC simulations.
Author Anna Chmiel (FP / PCSD)
Anna Chmiel,,
- Physics of Complex Systems Divison
, Tomasz Gradowski (FP / PCSD)
Tomasz Gradowski,,
- Physics of Complex Systems Divison
, Andrzej Krawiecki (FP / PCSD)
Andrzej Krawiecki,,
- Physics of Complex Systems Divison
Journal seriesInternational Journal of Modern Physics C, ISSN 0129-1831, (A 25 pkt)
Issue year2018
Vol29
No6
Pages1850041-1850041
Publication size in sheets0.3
Keywords in Englishq-neighbor Ising model; pair approximation; phase transitions
ASJC Classification1703 Computational Theory and Mathematics; 1706 Computer Science Applications; 3100 General Physics and Astronomy; 2610 Mathematical Physics; 3109 Statistical and Nonlinear Physics
DOIDOI:10.1142/S0129183118500419
Languageen angielski
Score (nominal)25
ScoreMinisterial score = 25.0, 11-03-2019, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 11-03-2019, ArticleFromJournal
Publication indicators Scopus Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.581; WoS Impact Factor: 2017 = 0.919 (2) - 2017=1.003 (5)
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