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Modelling gap-size distribution of parked cars using random-matrix theory
Faculty
Science
Year:
2006
Type of Publication:
Article
Pages:
536-540
Authors:
Abul-Magd, AY
DOI:
10.1016/j.physa.2005.10.059
Journal:
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS ELSEVIER SCIENCE BV
Volume:
368
Research Area:
Physics
ISSN
ISI:000238753600022
Keywords :
car parking, Coulomb gas, Gaussian unitary ensemble
Abstract:
We apply the random-matrix theory to the car-parking problem. For this purpose, we adopt a Coulomb gas model that associates the coordinates of the gas particles with the eigenvalues of a random matrix. The nature of interaction between the particles is consistent with the tendency of the drivers to park their cars near to each other and in the same time keep a distance sufficient for manoeuvring. We show that the recently measured gap-size distribution of parked cars in a number of roads in central London is well represented by the spacing distribution of a Gaussian unitary ensemble. (c) 2006 Elsevier B.V. All rights reserved.
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