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SUMMARY:Spin-glass-like transition in the majority vote model with contrar
ians
DTSTART;VALUE=DATE-TIME:20170908T081000Z
DTEND;VALUE=DATE-TIME:20170908T083000Z
DTSTAMP;VALUE=DATE-TIME:20230207T202400Z
UID:indico-contribution-26@zakopane.if.uj.edu.pl
DESCRIPTION:Speakers: Andrzej Krawiecki (Faculty of Physics\, Warsaw Unive
rsity of Technology)\n\nMajority vote model on random graphs and scale-fre
e networks is investigated\, in which a\nfraction p of agents (called cont
rarians or anticonformists)\nfollows an antiferromagnetic update rule\, i.
e.\, they assume\, with\nprobability governed by a parameter q (0 < q < 1/
2)\, the opinion opposite to that of the majority\nof their neighbors\, wh
ile the remaining 1-p fraction of agents follows the usual ferromagnetic u
pdate\nrule assuming\, with probability governed by the same parameter q\,
the opinion in accordance with \nthat of the majority of their neighbors.
For p=1 it is shown by Monte Carlo simulations and using \nthe Binder cum
ulants method that for decreasing q the model undergoes second-order \npha
se transition from a disordered (paramagnetic) state to a spin-glass-like
state\, \ncharacterized by a non-zero value of the spin-glass order parame
ter measuring the overlap of \nagents' opinions in two replicas of the sys
tem\, and simultaneously by the magnetization close to \nzero. Besides\, i
n this state the correlation of the agents' opinions exhibits exponentiall
y\ndecaying oscillations\, as expected in the spin-glass phase.\nIn the ca
se of the model on scale-free networks the critical value of the parameter
q weakly\ndepends on the details of the degree distribution. As p is decr
eased\, the critical value of q\nfalls quickly to zero and only the disord
ered phase is observed. On the other hand\, for p close to \nzero for decr
easing q the usual ferromagnetic transition is observed.\n\nhttps://zakopa
ne.if.uj.edu.pl/event/4/contributions/26/
RELATED-TO:indico-event-4@zakopane.if.uj.edu.pl
URL:https://zakopane.if.uj.edu.pl/event/4/contributions/26/
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