Physics – Physics and Society
Scientific paper
2010-02-05
Physics
Physics and Society
30 pages, 11 figures
Scientific paper
We investigate the dynamics of two agent based models of language competition. In the first model, each individual can be in one of two possible states, either using language $X$ or language $Y$, while the second model incorporates a third state XY, representing individuals that use both languages (bilinguals). We analyze the models on complex networks and two-dimensional square lattices by analytical and numerical methods, and show that they exhibit a transition from one-language dominance to language coexistence. We find that the coexistence of languages is more difficult to maintain in the Bilinguals model, where the presence of bilinguals in use facilitates the ultimate dominance of one of the two languages. A stability analysis reveals that the coexistence is more unlikely to happen in poorly-connected than in fully connected networks, and that the dominance of only one language is enhanced as the connectivity decreases. This dominance effect is even stronger in a two-dimensional space, where domain coarsening tends to drive the system towards language consensus.
Castello Xavier
Miguel Maxi San
Vazquez Federico
No associations
LandOfFree
Agent Based Models of Language Competition: Macroscopic descriptions and Order-Disorder transitions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Agent Based Models of Language Competition: Macroscopic descriptions and Order-Disorder transitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Agent Based Models of Language Competition: Macroscopic descriptions and Order-Disorder transitions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-535977