Exact Partition Function Zeros of the Wako-Saito-Muñoz-Eaton Protein Model

Abstract

I compute exact partition function zeros of the Wako-Saito-Muñoz-Eaton model for various secondary structural elements and for two proteins, 1BBL and 1I6C, using both analytic and numerical methods. Two-state and barrierless downhill folding transitions can be distinguished by a gap in the distribution of zeros at the positive real axis.

5 pages, 5 figures

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• Yang-Lee Zeros, Semicircle Theorem, and Nonunitary Criticality in Bardeen-Cooper-Schrieffer Superconductivity
• Measuring complex partition function zeroes of Ising models in quantum simulators
• Lee-Yang theory of the two-dimensional quantum Ising model
• Large Deviations in Renewal Models of Statistical Mechanics
• Analytic Partition Function Zeros of the Wako-Saito-Munoz-Eaton beta-hairpin Model
• Lee-Yang theory of Bose-Einstein condensation
• Low temperature behavior of finite-size one-dimensional Ising model and the partition function zeros
• Yang-Lee Zeros in Quantum Phase Transition: An Entanglement Perspective
• Finding the Dominant Zero of the Energy Probability Distribution
• Phase diagram of the Wako-Saito-Munoz-Eaton beta-hairpin Model obtained with partition function zeros
• Determination of melting temperature of hexagonal ice using Lee-Yang phase transition theory
• Observing Algebraic Variety of Lee-Yang Zeros in Asymmetrical Systems via a Quantum Probe