Partition Function Zeros of Paths and Normalization Zeros of ASEPS

Zdzisław Burda; Desmond Alexander Johnston

doi:10.3390/e27020183

Partition Function Zeros of Paths and Normalization Zeros of ASEPS

Zdzisław Burda, Desmond Alexander Johnston^*

^*Corresponding author for this work

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Abstract

We exploit the equivalence between the partition function of an adsorbing Dyck walk model and the Asymmetric Simple Exclusion Process (ASEP) normalization to obtain the thermodynamic limit of the locus of the ASEP normalization zeros from a conformal map. We discuss the equivalence between this approach and using an electrostatic analogy to determine the locus, both in the case of the ASEP and the random allocation model.

Original language	English
Article number	183
Journal	Entropy
Volume	27
Issue number	2
DOIs	https://doi.org/10.3390/e27020183
Publication status	Published - 10 Feb 2025

Keywords

Lee–Yang and Fisher zeroes
critical exponents
first-order phase transitions
second-order phase transitions

ASJC Scopus subject areas

Information Systems
Mathematical Physics
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Electrical and Electronic Engineering

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AB - We exploit the equivalence between the partition function of an adsorbing Dyck walk model and the Asymmetric Simple Exclusion Process (ASEP) normalization to obtain the thermodynamic limit of the locus of the ASEP normalization zeros from a conformal map. We discuss the equivalence between this approach and using an electrostatic analogy to determine the locus, both in the case of the ASEP and the random allocation model.

KW - Lee–Yang and Fisher zeroes

KW - critical exponents

KW - first-order phase transitions

KW - second-order phase transitions

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Partition Function Zeros of Paths and Normalization Zeros of ASEPS

Abstract

Keywords

ASJC Scopus subject areas

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