2,023 research outputs found
Long-range interactions in Sznajd consensus model
The traditional Sznajd model, as well as its Ochrombel simplification, for
opinion spreading are modified to have a convincing strength proportional to a
negative power of the spatial distance. We find the usual phase transition in
the full Sznajd model, but not in the Ochrombel simplification. We also mix the
two rules, which favours a phase transition.Comment: Not ye4t submittted, waiting for your comments; 6 page
Sociophysics Simulations I: Language Competition
Using a bit-string model similar to biological simulations, the competition
between different languages is simulated both without and with spatial
structure. We compare our agent-based work with differential equations and the
competing bit-string model of Kosmidis et al.Comment: 8th Granada Seminar (sociophysics); for AIP Conf. Proc. (8 pages
incl. figs
Monte Carlo simulation of the rise and the fall of languages
Similar to biological evolution and speciation we define a language through a
string of 8 or 16 bits. The parent gives its language to its children, apart
from a random mutation from zero to one or from one to zero; initially all bits
are zero. The Verhulst deaths are taken as proportional to the total number of
people, while in addition languages spoken by many people are preferred over
small languages. For a fixed population size, a sharp phase transition is
observed: For low mutation rates, one language contains nearly all people; for
high mutation rates, no language dominates and the size distribution of
languages is roughly log-normal as for present human languages. A simple
scaling law is valid.Comment: 8 pages including all figs., for IJMPC. New version with new results
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