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Power-law behavior and condensation phenomena in disordered urn models
Title: | Power-law behavior and condensation phenomena in disordered urn models |
Authors: | Inoue, Jun-ichi Browse this author →KAKEN DB | Ohkubo, Jun Browse this author |
Keywords: | PACS=02.50.-r | PACS=05.20.-y | PACS=05.30.Jp |
Issue Date: | 15-Aug-2008 |
Publisher: | IOP Publishing |
Journal Title: | Journal of Physics. A, Mathematical and Theoretical |
Volume: | 41 |
Issue: | 32 |
Start Page: | 324020 |
Publisher DOI: | 10.1088/1751-8113/41/32/324020 |
Abstract: | 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. |
Rights: | ©2008 IOP Publishing |
Type: | article (author version) |
URI: | http://hdl.handle.net/2115/34434 |
Appears in Collections: | 情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 井上 純一
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