Social thermodynamics theory

In physics, social thermodynamics theory attempts to describe social phenomena using an approach with the mathematical structure of thermodynamics. It is based on the general variational principle of minimization of Fisher information, which is known that can be used as formal generator of equilibrium and non-equilibrium thermodynamics.

This aim born with the derivation of Zipf's Law from first principles^[1], the prediction of scale-free ideal gases^[2], both the reproduction of city-size distributions and electoral results with competitive cluster growth processes on scale-free ideal networks, and the demonstration of the Dunbar's number as the cause of the 'six degrees of separation'.^[3]

References

1. ^ Zipf’s law from a Fisher variational-principle A. Hernando, D. Puigdomènech, D. Villuendas, C. Vesperinas, A. Plastino, to be published in Physics Letters A (http://arxiv.org/pdf/0908.0501)
2. ^ Fisher-information and the thermodynamics of scale-invariant systems, A. Hernando, C. Vesperinas, A. Plastino, to be published in Physica A (http://arxiv.org/pdf/0908.0504)
3. ^ Unravelling the size distribution of social groups with information theory on complex networks, A. Hernando, D. Villuendas, C. Vesperinas, M. Abad, A. Plastino, submitted to European Physics Journal B (http://arxiv.org/abs/0905.3704)