https://doi.org/10.1140/epjb/e2002-00395-2
Ordering phase transition in the one-dimensional Axelrod model
1
Dipartimento di Fisica, Università di
Roma “La Sapienza”, P.le A. Moro 2, 00185 Roma, Italy
2
The Abdus Salam International Centre for Theoretical Physics
(ICTP), PO Box 586, 34100 Trieste, Italy
3
INFM, Unità di Roma 1, P.le A. Moro 2, 00185 Roma, Italy
Corresponding author: a castella@pil.phys.uniroma1.it
Received:
11
August
2002
Revised:
3
October
2002
Published online:
19
December
2002
We study the one-dimensional behavior of a cellular automaton aimed at the description of the formation and evolution of cultural domains. The model exhibits a non-equilibrium transition between a phase with all the system sharing the same culture and a disordered phase of coexisting regions with different cultural features. Depending on the initial distribution of the disorder the transition occurs at different values of the model parameters. This phenomenology is qualitatively captured by a mean-field approach, which maps the dynamics into a multi-species reaction-diffusion problem.
PACS: 87.23.Ge – Dynamics of social systems / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 89.75.Fb – Structures and organization in complex systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
