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SUMMARY:Discontinuous phase transitions in the multi-state noisy q-voter m
odel: quenched vs. annealed disorder
DTSTART:20210702T151500Z
DTEND:20210702T151600Z
DTSTAMP:20240917T073300Z
UID:indico-contribution-235@indico.fis.agh.edu.pl
DESCRIPTION:Speakers: Bartłomiej Nowak (Wrocław University of Science an
d Technology)\, Bartosz Stoń (Wrocław University of Science and Technolo
gy)\, Katarzyna Sznajd-Weron (Department of Theoretical Physics\, Faculty
of Fundamental Problems of Technology\, Wroclaw University of Science and
Technology)\n\nWe introduce a generalized version of the noisy q-voter mod
el\, one of the most popular opinion dynamics models\, in which voters can
be in one of s≥2 states. As in the original binary q-voter model\, whic
h corresponds to s=2\, at each update randomly selected voter can conform
to its q randomly chosen neighbors (copy their state) only if all q neighb
ors are in the same state. Additionally\, a voter can act independently\,
taking a randomly chosen state\, which introduces disorder to the system.
We consider two types of disorder: (1) annealed\, which means that each vo
ter can act independently with probability p and with complementary probab
ility 1−p conform to others\, and (2) quenched\, which means that there
is a fraction p of all voters\, which are permanently independent and the
rest of them are conformists. We analyze the model on the complete graph a
nalytically and via Monte Carlo simulations. We show that for the number o
f states s>2 model displays discontinuous phase transitions for any q>1\,
on contrary to the model with binary opinions\, in which discontinuous pha
se transitions are observed only for q>5. Moreover\, unlike the case of s=
2\, for s>2 discontinuous phase transitions survive under the quenched dis
order\, although they are less sharp than under the annealed one.\n\nhttp:
//indico.fis.agh.edu.pl/event/69/contributions/235/
LOCATION:ONLINE
RELATED-TO:indico-event-69@indico.fis.agh.edu.pl
URL:http://indico.fis.agh.edu.pl/event/69/contributions/235/
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