Power-law behavior and condensation phenomena in disordered urn models
| dc.creator | Inoue, Jun-ichi | |
| dc.creator | Ohkubo, Jun | |
| dc.date | 2006-06-07 | |
| dc.date | 2008-02-27 | |
| dc.date.accessioned | 2026-07-07T09:23:25Z | |
| dc.date.available | 2026-07-07T09:23:25Z | |
| dc.description | 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 $ρ_\mathrm{c}$ 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. | |
| dc.description | 16pages, 9figures, using iopart.cls, 2 new figures were added | |
| dc.identifier | https://arxiv.org/abs/physics/0606068 | |
| dc.identifier | http://arxiv.org/abs/physics/0606068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155727 | |
| dc.subject | Physics and Society | |
| dc.subject | Data Analysis, Statistics and Probability | |
| dc.title | Power-law behavior and condensation phenomena in disordered urn models | |
| dc.type | text |