Yang-Lee zeros for a nonequilibrium phase transition

Abstract

Equilibrium systems which exhibit a phase transition can be studied by investigating the complex zeros of the partition function. This method, pioneered by Yang and Lee, has been widely used in equilibrium statistical physics. We show that an analogous treatment is possible for a nonequilibrium phase transition into an absorbing state. By investigating the complex zeros of the survival probability of directed percolation processes we demonstrate that the zeros provide information about universal properties. Moreover we identify certain non-trivial points where the survival probability for bond percolation can be computed exactly.

LaTeX, IOP-style, 13 pages, 10 eps figures

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• Lee-Yang theory, high cumulants, and large-deviation statistics of the magnetization in the Ising model
• Determination of universal critical exponents using Lee-Yang theory
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• Matrix Product States of Three Families of One-Dimensional Interacting Particle Systems
• Yang-Lee zeroes for an urn model for the separation of sand
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• Dyck Paths, Motzkin Paths and Traffic Jams
• Lee-Yang theory of the Curie-Weiss model and its rare fluctuations
• First Order Phase Transition in a Reaction-Diffusion Model With Open Boundary: The Yang-Lee Theory Approach
• Demagnetization via Nucleation of the Nonequilibrium Metastable Phase in a Model of Disorder
• Nonequilibrium phase transition in a single-electron micromaser
• Exploring Percolative Landscapes: Infinite Cascades of Geometric Phase Transitions
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