open access

https://hdl.handle.net/2115/34434

Power-law behavior and condensation phenomena in disordered urn models

英語

PACS=05.30.Jp

2008-08-15

IOP Publishing

Journal of Physics. A, Mathematical and Theoretical

41(32)

324020

We investigate equilibrium statistical properties of urn models with disorder. Two urn models are proposed; one belongs to the Ehrenfest class, and the other corresponds to the Monkey class. These models are introduced from the view point of the power-law behavior and randomness; it is clarified that quenched random parameters play an important role in generating power-law behavior. We evaluate the occupation probability P(k) with which an urn has k balls by using the concept of statistical physics of disordered systems. In the disordered urn model belonging to the Monkey class, we find that above critical density ρc for a given temperature, condensation phenomenon occurs and the occupation probability changes its scaling behavior from an exponential-law to a heavy tailed power-law in large k regime. We also discuss an interpretation of our results for explaining of macro-economy, in particular, emergence of wealth differentials.

学術雑誌論文

Accepted Manuscript

©2008 IOP Publishing

1751-8113

1751-8121