تقرير
A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case
| العنوان: | A thermodynamic counterpart of the Axelrod model of social influence: The one-dimensional case |
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| المؤلفون: | Gandica, Y., Medina, E., Bonalde, I. |
| سنة النشر: | 2012 |
| المجموعة: | Computer Science Condensed Matter Physics (Other) |
| مصطلحات موضوعية: | Physics - Physics and Society, Condensed Matter - Statistical Mechanics, Computer Science - Social and Information Networks |
| الوصف: | We propose a thermodynamic version of the Axelrod model of social influence. In one-dimensional (1D) lattices, the thermodynamic model becomes a coupled Potts model with a bonding interaction that increases with the site matching traits. We analytically calculate thermodynamic and critical properties for a 1D system and show that an order-disorder phase transition only occurs at T = 0 independent of the number of cultural traits q and features F. The 1D thermodynamic Axelrod model belongs to the same universality class of the Ising and Potts models, notwithstanding the increase of the internal dimension of the local degree of freedom and the state-dependent bonding interaction. We suggest a unifying proposal to compare exponents across different discrete 1D models. The comparison with our Hamiltonian description reveals that in the thermodynamic limit the original out-of-equilibrium 1D Axelrod model with noise behaves like an ordinary thermodynamic 1D interacting particle system. Comment: 19 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.physa.2013.08.033 |
| URL الوصول: | http://arxiv.org/abs/1208.4381 |
| رقم الأكسشن: | edsarx.1208.4381 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.physa.2013.08.033 |
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