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The finite temperature phase diagram is obtained for an infinite honeycomb lattice with spin-$1/2$ Ising interaction $J$ by using thermal-state fidelity and von Neumann entropy based on the infinite projected entangled pair state algorithm…

Strongly Correlated Electrons · Physics 2017-06-21 Yan-Wei Dai , Qian-Qian Shi , Sam Young Cho , Murray T. Batchelor , Huan-Qiang Zhou

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, and its universality class. The former case occurs for…

Statistical Mechanics · Physics 2018-05-09 Jian-Ping Lv , Youjin Deng , Jesper Lykke Jacobsen , Jesús Salas , Alan D. Sokal

It is discussed how phase transitions of first order (with phase separation and surface tension), continuous transitions and (multi)-critical points can be defined and classified for finite systems from the topology of the energy surface…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross , E. Votyakov

Using multicanonical Metropolis simulations we estimate phase transition properties of 3D Potts models for q=4 to 10: The transition temperatures, latent heats, entropy gaps, normalized entropies at the disordered and ordered endpoints,…

High Energy Physics - Lattice · Physics 2008-11-26 Alexei Bazavov , Bernd A. Berg , Santosh Dubey

The Curie-Weiss Potts model is a mean field version of the well-known Potts model. In this model, the critical line $\beta = \beta_c (h)$ is explicitly known and corresponds to a first order transition when $q > 2$. In the present paper we…

Probability · Mathematics 2009-11-20 Daniel Gandolfo , Jean Ruiz , Marc Wouts

Using extensive Monte Carlo simulations, we clarify the critical behaviour of the 3 dimensional simple cubic Ising Fully Frustrated system. We find two transition temperatures and two long range ordered phases. Within the present numerical…

Statistical Mechanics · Physics 2009-10-31 L. W. Bernardi , K. Hukushima , H. Takayama

The existence and limits of metastable droplets have been calculated using finite-system renormalization-group theory, for q-state Potts models in spatial dimension d=3. The dependence of the droplet critical sizes on magnetic field,…

Statistical Mechanics · Physics 2021-05-20 E. Can Artun , A. Nihat Berker

We present the exact solution of the 1D classical short-range Potts model with invisible states. Besides the $q$ states of the ordinary Potts model, this possesses $r$ additional states which contribute to the entropy, but not to the…

Statistical Mechanics · Physics 2020-04-02 Petro Sarkanych , Yurij Holovatch , Ralph Kenna

The surface and bulk properties of the two-dimensional Q > 4 state Potts model in the vicinity of the first order bulk transition point have been studied by exact calculations and by density matrix renormalization group techniques. For the…

Statistical Mechanics · Physics 2009-10-31 Ferenc Igloi , Enrico Carlon

We systematically explore and show the existence of finite-temperature continuous quantum phase transition (CTQPT) at a critical point, namely, during solidification or melting such that the first-order thermal phase transition is a special…

Strongly Correlated Electrons · Physics 2014-05-20 Andrew Das Arulsamy

Chaotic dependence on temperature refers to the phenomenon of divergence of Gibbs measures as the temperature approaches a certain value. Models with chaotic behaviour near zero temperature have multiple ground states, none of which are…

Mathematical Physics · Physics 2025-06-13 Léo Gayral , Mathieu Sablik , Siamak Taati

Classical phase transitions, like solid-liquid-gas or order-disorder spin magnetic phases, are all driven by thermal energy fluctuations by varying the temperature. On the other hand, quantum phase transitions happen at absolute zero…

Quantum Physics · Physics 2024-03-13 Sabre Kais

The standard Potts model is investigated in the framework of nonextensive statistical mechanics. We performed Monte Carlo simulations on two-dimensional lattices with linear sizes ranging from 16 to 64 using the Metropolis algorithm, where…

Statistical Mechanics · Physics 2012-06-14 Attila Boer

In this work, we systematically assess the performance of a new method from [H. Shah et al., Phys. Rev. C 113, L012201] for locating the QCD critical point using constant-entropy contours by testing it against various effective QCD…

High Energy Physics - Phenomenology · Physics 2026-01-14 Hitansh Shah , Mauricio Hippert , Jorge Noronha , Claudia Ratti , Volodymyr Vovchenko

We study the critical frontiers of the Potts model on two-dimensional bow-tie lattices with fully inhomogeneous coupling constants. Generally, for the Potts critical frontier to be found exactly, the underlying lattice must be a 3-uniform…

Statistical Mechanics · Physics 2015-06-11 Christian R. Scullard , Jesper Lykke Jacobsen

The low-temperature series are calculated for the free energy, magnetization and susceptibility in the Q-state Potts model on the square lattice, using the improved algorithm of the finite lattice method. The series are obtained to the…

Condensed Matter · Physics 2009-10-30 H. Arisue , K. Tabata

We consider the q=4 Potts model on the square lattice with an additional hard-core nonlocal interaction. That interaction arises from the choice of the reference measure taken to be the uniform measure on the recurrent configurations for…

Statistical Mechanics · Physics 2015-05-26 E. Dinaburg , C. Maes , S. Pirogov , F. Redig , A. Rybko

The two-dimensional q-state Potts model is subjected to a Z_q symmetric disorder that allows for the existence of a Nishimori line. At q=2, this model coincides with the +/- J random-bond Ising model. For q>2, apart from the usual pure and…

Statistical Mechanics · Physics 2013-05-29 Jesper Lykke Jacobsen , Marco Picco

We construct the exact partition function of the Potts model on a complete graph subject to external fields with linear and nematic type couplings. The partition function is obtained as a solution to a linear diffusion equation and the free…

Mathematical Physics · Physics 2019-08-14 Paolo Lorenzoni , Antonio Moro

We address the geometrical critical behavior of the two-dimensional Q-state Potts model in terms of the spin clusters (i.e., connected domains where the spin takes a constant value). These clusters are different from the usual…

Statistical Mechanics · Physics 2017-12-22 Jérôme Dubail , Jesper Lykke Jacobsen , Hubert Saleur
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