Partition function zeros for aperiodic systems
Copyright policy )Partition function zeros for aperiodic systems
The study of zeros of partition functions, initiated by Yang and Lee, provides an important qualitative and quantitative tool in the study of critical phenomena. This has frequently been used for periodic as well as hierarchical lattices. Here, we consider magnetic field and temperature zeros of Ising model partition functions on several aperiodic structures. In 1D, we analyze aperiodic chains obtained from substitution rules, the most prominent example being the Fibonacci chain. In 2D, we focus on the tenfold symmetric triangular tiling which allows efficient numerical treatment by means of corner transfer matrices.
11 pages, LaTeX, epsf.tex, 7 uuencoded postscript figures included, Stuttgart University Preprint itap-11/93-2
- University of Stuttgart Germany
- La Trobe University Australia
- University of Amsterdam Netherlands
- University of Melbourne Australia
- University of Tübingen Germany
High Energy Physics - Theory, nonperiodic systems, Condensed Matter (cond-mat), FOS: Physical sciences, Condensed Matter, Phase transitions (general) in equilibrium statistical mechanics, edge singularities, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, phase transitions, High Energy Physics - Theory (hep-th), Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Ising model, Lee-Yang zeros, gap labeling, Classical equilibrium statistical mechanics (general)
High Energy Physics - Theory, nonperiodic systems, Condensed Matter (cond-mat), FOS: Physical sciences, Condensed Matter, Phase transitions (general) in equilibrium statistical mechanics, edge singularities, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, phase transitions, High Energy Physics - Theory (hep-th), Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Ising model, Lee-Yang zeros, gap labeling, Classical equilibrium statistical mechanics (general)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).18 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!