204 citations · 1.4k across the 45 of their papers we have counts for
25 papers · 1 filter
Shortcuts of freely relaxing systems using equilibrium physical observables
Isidoro González-Adalid Pemartín, Emanuel Mompó, Antonio Lasanta +2
Many systems, when initially placed far from equilibrium, exhibit surprising behavior in their attempt to equilibrate. Striking examples are the Mpemba effect and the cooling-heati…
Ergodicity of the Wang--Swendsen--Kotecký algorithm on several classes of lattices on the torus
Jesús Salas, Alan D. Sokal
We prove the ergodicity of the Wang--Swendsen--Kotecký (WSK) algorithm for the zero-temperature -state Potts antiferromagnet on several classes of lattices on the torus. In part…
Slow growth of magnetic domains helps fast evolution routes for out-of-equilibrium dynamics
Isidoro González-Adalid Pemartín, Emanuel Mompó, Antonio Lasanta +2
Cooling and heating faster a system is a crucial problem in science, technology and industry. Indeed, choosing the best thermal protocol to reach a desired temperature or energy is…
Duality and the universality class of the three-state Potts antiferromagnet on plane quadrangulations
Jian-Ping Lv, Youjin Deng, Jesper Lykke Jacobsen +2
We provide a new criterion based on graph duality to predict whether the 3-state Potts antiferromagnet on a plane quadrangulation has a zero- or finite-temperature critical point,…
Phase diagram of the triangular-lattice Potts antiferromagnet
Jesper Lykke Jacobsen, Jesús Salas, Christian R. Scullard
We study the phase diagram of the triangular-lattice -state Potts model in the real -plane, where is the temperature variable. Our first goal is to provide an o…
Q-colourings of the triangular lattice: Exact exponents and conformal field theory
Eric Vernier, Jesper Lykke Jacobsen, Jesús Salas
We revisit the problem of Q-colourings of the triangular lattice using a mapping onto an integrable spin-one model, which can be solved exactly using Bethe Ansatz techniques. In pa…
Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q
Yuan Huang, Kun Chen, Youjin Deng +5
We exhibit infinite families of two-dimensional lattices (some of which are triangulations or quadrangulations of the plane) on which the q-state Potts antiferromagnet has a finite…
The Hintermann-Merlini-Baxter-Wu and the Infinite-Coupling-Limit Ashkin-Teller Models
Yuan Huang, Youjin Deng, Jesper Lykke Jacobsen +1
We show how the Hintermann-Merlini-Baxter-Wu model (which is a generalization of the well-known Baxter-Wu model to a general Eulerian triangulation) can be mapped onto a particular…
Finite-temperature phase transition in a class of 4-state Potts antiferromagnets
Youjin Deng, Yuan Huang, Jesper Lykke Jacobsen +2
We argue that the 4-state Potts antiferromagnet has a finite-temperature phase transition on any Eulerian plane triangulation in which one sublattice consists of vertices of degree…
On the non-ergodicity of the Swendsen-Wang-Kotecky algorithm on the kagome lattice
Bojan Mohar, Jesús Salas
We study the properties of the Wang-Swendsen-Kotecky cluster Monte Carlo algorithm for simulating the 3-state kagome-lattice Potts antiferromagnet at zero temperature. We prove tha…
Phase transition in the 3-state Potts antiferromagnet on the diced lattice
Roman Kotecky, Jesus Salas, Alan D. Sokal
We prove that the 3-state Potts antiferromagnet on the diced lattice (dual of the kagome lattice) has entropically-driven long-range order at low temperatures (including zero). We…
Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. V. Further Results for the Square-Lattice Chromatic Polynomial
Jesus Salas, Alan D. Sokal
We derive some new structural results for the transfer matrix of square-lattice Potts models with free and cylindrical boundary conditions. In particular, we obtain explicit closed…
Phase diagram of the chromatic polynomial on a torus
Jesper Lykke Jacobsen, Jesus Salas
We study the zero-temperature partition function of the Potts antiferromagnet (i.e., the chromatic polynomial) on a torus using a transfer-matrix approach. We consider square- and…
Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. IV. Chromatic polynomial with cyclic boundary conditions
Jesper Lykke Jacobsen, Jesus Salas
We study the chromatic polynomial P_G(q) for m \times n square- and triangular-lattice strips of widths 2\leq m \leq 8 with cyclic boundary conditions. This polynomial gives the ze…
Spanning forests and the q-state Potts model in the limit q \to 0
Jesper Lykke Jacobsen, Jesus Salas, Alan D. Sokal
We study the q-state Potts model with nearest-neighbor coupling v=e^{βJ}-1 in the limit q,v \to 0 with the ratio w = v/q held fixed. Combinatorially, this limit gives rise to the g…
Exact Potts Model Partition Functions for Strips of the Triangular Lattice
Shu-Chiuan Chang, Jesper Lykke Jacobsen, Jesús Salas +1
We present exact calculations of the Potts model partition function Z(G,q,v) for arbitrary q and temperature-like variable v on n-vertex strip graphs G of the triangular lattice fo…
Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models III. Triangular-Lattice Chromatic Polynomial
Jesper Lykke Jacobsen, Jesús Salas, Alan D. Sokal
We study the chromatic polynomial P_G(q) for m \times n triangular-lattice strips of widths m <= 12_P, 9_F (with periodic or free transverse boundary conditions, respectively) and…
Exact Potts Model Partition Function for Strips of the Square Lattice
Jesus Salas, Shu-Chiuan Chang, Robert Shrock
We present exact calculations of the Potts model partition function for arbitrary and temperature-like variable on -vertex square-lattice strip graphs for…
Exact T=0 Partition Functions for Potts Antiferromagnets on Sections of the Simple Cubic Lattice
Jesus Salas, Robert Shrock
We present exact solutions for the zero-temperature partition function of the -state Potts antiferromagnet (equivalently, the chromatic polynomial ) on tube sections of the s…
Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models II. Extended Results for Square-Lattice Chromatic Polynomial
Jesper Lykke Jacobsen, Jesús Salas
We study the chromatic polynomials for m \times n square-lattice strips, of width 9 <= m <= 13 (with periodic boundary conditions) and arbitrary length n (with free boundary condit…
Dynamic critical behavior of cluster algorithms for 2D Ashkin-Teller and Potts models
J. Salas
We study the dynamic critical behavior of two algorithms: the Swendsen-Wang algorithm for the two-dimensional Potts model with q=2,3,4 and a Swendsen-Wang-type algorithm for the tw…
Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models I. General Theory and Square-Lattice Chromatic Polynomial
Jesús Salas, Alan D. Sokal
We study the chromatic polynomials (= zero-temperature antiferromagnetic Potts-model partition functions) P_G(q) for m \times n rectangular subsets of the square lattice, with m \l…
Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus
Jesús Salas, Alan D. Sokal
Using results from conformal field theory, we compute several universal amplitude ratios for the two-dimensional Ising model at criticality on a symmetric torus. These include the…
The 3-State Potts Antiferromagnet on the Hexagonal Lattice
J. Salas
We study the 3-state hexagonal-lattice Potts antiferromagnet by a Monte Carlo simulation using the Wang-Swendsen-Kotecky cluster algorithm. We study the staggered susceptibility an…