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

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)
    64 Downloads (Pure)

    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 languageEnglish
    Article number153
    Number of pages14
    JournalEntropy
    Volume21
    Issue number2
    DOIs
    Publication statusPublished - 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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