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

Abstract

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.

arXiv comment4 pages, 3 eps figures included

References in corpus (7)

• Sand as Maxwell's demon
• Hysteretic clustering in granular gas
• Lee-Yang zeros and phase transitions in nonequilibrium steady states
• Yang-Lee Theory for a Nonequilibrium Phase Transition
• Urn model of separation of sand
• Yang-Lee zeros for a nonequilibrium phase transition
• Analytic study of the urn model for separation of sand

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