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

Details Yang-Lee zeroes for an urn model for the separation of sand Yang-Lee zeroes for an urn model for the separation of sand

2003-06-30

arxiv.org/abs/cond-mat/0306739v2

Phys. Rev. Lett. 91, 160602 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 eps figures included

Scientific paper

10.1103/PhysRevLett.91.160602

We apply the Yang-Lee theory of phase transitions to an urn model of 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.

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