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.
|Number of pages||14|
|Publication status||Published - 5 Feb 2019|
Bibliographical noteSpecial 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/).
- Self-Avoiding Walks
- Polymer Models
- Partition function zeros
- Phase transitions
- Self-avoiding walks
- Complex zeros
- Critical exponents
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)