q-plane zeros of the Potts partition function on diamond hierarchical graphs
From MaRDI portal
Publication:5140971
DOI10.1063/1.5127667zbMath1454.82022arXiv1911.04012OpenAlexW2988666880MaRDI QIDQ5140971
Robert Shrock, Roland K. W. Roeder, Shu-Chiuan Chang
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.04012
Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Statistical mechanics of magnetic materials (82D40)
Related Items
Chromatic zeros on hierarchical lattices and equidistribution on parameter space, Phase transitions of the variety of random-field Potts models, The two-layer Ising model on a sequence of diamond-like hierarchical lattices, Global Ashkin-Teller phase diagrams in two and three dimensions: multicritical bifurcation versus double tricriticality-endpoint, Renormalization-group theory of the Heisenberg model in \(d\) dimensions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lee-Yang zeros for the DHL and 2D rational dynamics. I: Foliation of the physical cylinder
- On Julia sets concerning phase transitions
- The maximum-entropy measure of a rational endomorphism of the Riemann sphere
- Continuity of Julia set and its Hausdorff dimension of Yang-Lee zeros
- Spanning trees on the Sierpinski gasket
- A little statistical mechanics for the graph theorist
- Connectivity of the Mandelbrot set for the family of renormalization transformations
- Asymptotics of the susceptibility for the Ising model on the hierarchical lattices
- Limits of chromatic zeros of some families of maps
- Exact Potts model partition function on strips of the triangular lattice
- Ground state entropy of the Potts antiferromagnet on strips of the square lattice
- \(T=0\) partition functions for Potts antiferromagnets on lattice strips with fully periodic boundary conditions
- \(T=0\) partition functions for Potts antiferromagnets on Möbius strips and effects of graph topology
- On the dynamics of a family of generated renormalization transformations
- Julia set concerning Yang-Lee theorem
- Zeros of the Potts model partition function on Sierpinski graphs
- Julia sets, Hausdorff dimension and phase transition
- Recursive families of graphs
- Julia sets and complex singularities in diamond-like hierarchical Potts models
- Chromatic polynomials of large triangular lattices
- On the dynamics of rational maps
- Feigenbaum Julia sets of singularities of free energy
- The Infinite-State Potts Model and Solid Partitions of an Integer
- ZEROS OF THE POTTS MODEL PARTITION FUNCTION IN THE LARGE-q LIMIT
- Distribution of rational maps with a preperiodic critical point
- Potts models on hierarchical lattices and renormalization group dynamics: II. Examples and numerical results
- An invariant measure for rational maps
- Limits of zeroes of recursively defined polynomials
- Ground-state entropy of the Potts antiferromagnet on cyclic strip graphs
- A Zero-Free Interval for Chromatic Polynomials of Graphs
- Complex-temperature properties of the Ising model on 2D heteropolygonal lattices
- The Zero-Free Intervals for Chromatic Polynomials of Graphs
- Ground state entropy of Potts antiferromagnets on cyclic polygon chain graphs
- T= 0 partition functions for Potts antiferromagnets on square lattice strips with (twisted) periodic boundary conditions
- Jordan domain and Fatou set concerning diamond-like hierarchical Potts models
- An introduction to chromatic polynomials
- Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
- Exact Potts model partition functions on wider arbitrary-length strips of the square lattice
- Chromatic polynomials and their zeros and asymptotic limits for families of graphs
- On connectivity of Julia sets of Yang-Lee zeros
- Transfer matrices and partition-function zeros for antiferromagnetic Potts models. I: General theory and square-lattice chromatic polynomial.
- Transfer matrices and partition-function zeros for antiferromagnetic Potts models. II: Extended results for square-lattice chromatic polynomial.
- Potts model partition functions for self-dual families of strip graphs
- Ground state entropy in Potts antiferromagnets and chromatic polynomials