Cluster size entropy in the Axelrod model of social influence: small-world networks and mass media

We study the Axelrod's cultural adaptation model using the concept of cluster size entropy, $S_{c}$ that gives information on the variability of the cultural cluster size present in the system. Using networks of different topologies, from regular to random, we find that the critical point of the well-known nonequilibrium monocultural-multicultural (order-disorder) transition of the Axelrod model is unambiguously given by the maximum of the $S_{c}(q)$ distributions. The width of the cluster entropy distributions can be used to qualitatively determine whether the transition is first- or second-order. By scaling the cluster entropy distributions we were able to obtain a relationship between the critical cultural trait $q_c$ and the number $F$ of cultural features in regular networks. We also analyze the effect of the mass media (external field) on social systems within the Axelrod model in a square network. We find a new partially ordered phase whose largest cultural cluster is not aligned with the external field, in contrast with a recent suggestion that this type of phase cannot be formed in regular networks. We draw a new $q-B$ phase diagram for the Axelrod model in regular networks.Comment: 21 pages, 7 figure

Radiación cósmica y precursores sísmicos. Una iniciativa merideña en sistemas de alerta temprana en terremotos.

Una iniciativa merideña en Sistemas de Alerta Temprana en Terremotos, que se viene investigando en el Departamento de Física de la Universidad de Los Andes, con el apoyo del Laboratorio de Geofísica de esta Universidad. La investigación busca combinar variables sísmicas, geomagnéticas y la medición del flujo de radiación cósmica de alta energía, en un intento por establecer un sistema de monitoreo que permita anticipar la ocurrencia de un evento sísmico inminente.12 - [email protected]@[email protected]@[email protected]@ula.veanua