Yang-Lee Theory for a Nonequilibrium Phase Transition

Peter F. Arndt
Phys. Rev. Lett. 84, 814 – Published 31 January 2000
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Abstract

To analyze phase transitions in a nonequilibrium system, we study its grand canonical partition function as a function of complex fugacity. Real and positive roots of the partition function mark phase transitions. This behavior, first found by Yang and Lee under general conditions for equilibrium systems, can also be applied to nonequilibrium phase transitions. We consider a one-dimensional diffusion model with periodic boundary conditions. Depending on the diffusion rates, we find real and positive roots and can distinguish two regions of analyticity, which can be identified with two different phases. In a region of the parameter space, both of these phases coexist. The condensation point can be computed with high accuracy.

  • Received 20 August 1999

DOI:https://doi.org/10.1103/PhysRevLett.84.814

©2000 American Physical Society

Authors & Affiliations

Peter F. Arndt

  • Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, 50937 Köln, Germany

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Vol. 84, Iss. 5 — 31 January 2000

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