Use of the Complex Zeros of the Partition Function to Investigate the Critical Behavior of the Generalized Interacting Self-Avoiding Trail Model

Damien Foster; Ralph Kenna; Claire Pinettes

doi:10.3390/e21020153

Use of the Complex Zeros of the Partition Function to Investigate the Critical Behavior of the Generalized Interacting Self-Avoiding Trail Model

Damien Foster, Ralph Kenna, Claire Pinettes

Cergy-Pontoise University

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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Abstract

The complex zeros of the canonical (fixed walk-length) partition function are calculated for both the self-avoiding trails model and the vertex-interacting self-avoiding walk model, both in bulk and in the presence of an attractive surface. The finite-size behavior of the zeros is used to estimate the location of phase transitions: the collapse transition in the bulk and the adsorption transition in the presence of a surface. The bulk and surface cross-over exponents, $\phi$ and $\phi_S$, are estimated from the scaling behavior of the leading partition function zeros.

Original language	English
Article number	153
Number of pages	14
Journal	Entropy
Volume	21
Issue number	2
DOIs	https://doi.org/10.3390/e21020153
Publication status	Published - 5 Feb 2019

Bibliographical note

Special issue: Phase Transitions and Critical Phenomena in Frustrated Systems and Thin Films

c 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

Keywords

Self-Avoiding Walks
Polymer Models
Partition function zeros
Phase transitions
Self-avoiding walks
Polymers
Complex zeros
Critical exponents
Frustration

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Physics and Astronomy(all)

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10.3390/e21020153Licence: CC BY

PublishedFinal published version, 1.34 MBLicence: CC BY

Cite this

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title = "Use of the Complex Zeros of the Partition Function to Investigate the Critical Behavior of the Generalized Interacting Self-Avoiding Trail Model",

abstract = "The complex zeros of the canonical (fixed walk-length) partition function are calculated for both the self-avoiding trails model and the vertex-interacting self-avoiding walk model, both in bulk and in the presence of an attractive surface. The finite-size behavior of the zeros is used to estimate the location of phase transitions: the collapse transition in the bulk and the adsorption transition in the presence of a surface. The bulk and surface cross-over exponents, $\phi$ and $\phi_S$, are estimated from the scaling behavior of the leading partition function zeros.",

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AB - The complex zeros of the canonical (fixed walk-length) partition function are calculated for both the self-avoiding trails model and the vertex-interacting self-avoiding walk model, both in bulk and in the presence of an attractive surface. The finite-size behavior of the zeros is used to estimate the location of phase transitions: the collapse transition in the bulk and the adsorption transition in the presence of a surface. The bulk and surface cross-over exponents, $\phi$ and $\phi_S$, are estimated from the scaling behavior of the leading partition function zeros.

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KW - Polymers

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KW - Critical exponents

KW - Frustration

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ER -

Use of the Complex Zeros of the Partition Function to Investigate the Critical Behavior of the Generalized Interacting Self-Avoiding Trail Model

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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