Yang-Lee zeros for an urn model for the separation of sand

We apply the Yang-Lee theory of phase transitions to an urn model for the separation of sand. The effective partition function of this nonequilibrium system can be expressed as a polynomial of the size-dependent effective fugacity z. Numerical calculations show that in the thermodynamic limit the ze...

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Bibliographic Details
Published in:Physical review letters 2003-10, Vol.91 (16), p.160602-160602, Article 160602
Main Authors: Bena, I, Coppex, F, Droz, M, Lipowski, A
Format: Article
Language:English
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Summary:We apply the Yang-Lee theory of phase transitions to an urn model for the separation of sand. The effective partition function of this nonequilibrium system can be expressed as a polynomial of the size-dependent effective fugacity z. Numerical calculations show that in the thermodynamic limit the zeros of the effective partition function are located on the unit circle in the complex z plane. In the complex plane of the actual control parameter, certain roots converge to the transition point of the model. Thus, the Yang-Lee theory can be applied to a wider class of nonequilibrium systems than those considered previously.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.91.160602