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Phase transitions of first and second order can easily be distinguished in small systems in the microcanonical ensemble. Configurations of phase coexistence, which are suppressed in the canonical formulation, carry important information…

Condensed Matter · Physics 2007-05-23 D. H. E. Gross , A. Ecker , X. Z. Zhang

We analyze a three-state Potts model built over a lattice ring, with coupling $J_0$, and the fully connected graph, with coupling $J$. This model is effectively mean-field and can be exactly solved by using transfer-matrix method and…

Statistical Mechanics · Physics 2020-06-09 Massimo Ostilli , Farrukh Mukhamedov

Critical and compensation properties of a mixed spin-1 and spin-3/2 Ising ferrimagnet on a square lattice are investigated by standard and histogram Monte Carlo simulations. The critical temperature is studied as a function of a single-ion…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , A. Bobák

Phase transition and critical properties of Ising-like spin-orbital interacting systems in 2-dimensional triangular lattice are investigated. We first show that the ground state of the system is a composite spin-orbital ferro-ordered phase.…

Statistical Mechanics · Physics 2009-11-13 Huai-Bao Tang , Dong-Meng Chen , Xiang-Fei Wei , Liang-Jian Zou

Using extensive Monte Carlo simulations, we study the interface localization- delocalization transition of a thin Ising film with antisymmetric competing walls for a set of parameters where the transition is strongly first-order. This is…

Statistical Mechanics · Physics 2009-11-10 B. J. Schulz , K. Binder , M. M"uller

The thermal phase transitions of a spin-1/2 Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field are investigated using a decoration-iteration transformation and classical Monte Carlo simulations. A generalized…

Statistical Mechanics · Physics 2023-04-18 Jozef Strecka , Katarina Karlova , Taras Verkholyak , Nils Caci , Stefan Wessel , Andreas Honecker

Order-disorder phase transition of the ferromagnetic Ising model is investigated on a series of two-dimensional lattices that have negative Gaussian curvatures. Exceptional lattice sites of coordination number seven are distributed on the…

Statistical Mechanics · Physics 2015-01-08 Andrej Gendiar , Michal Daniska , Roman Krcmar , Tomotoshi Nishino

We consider a one-dimensional lattice of Ising-type variables where the ferromagnetic exchange interaction J between neighboring sites is frustrated by a long-ranged anti-ferromagnetic interaction of strength g between the sites i and j,…

Statistical Mechanics · Physics 2011-04-21 F. Cinti , O. Portmann , D. Pescia , A. Vindigni

Systems with quenched disorder possess complex energy landscapes that are challenging to explore under the conventional Monte Carlo method. In this work, we implement an efficient entropy sampling scheme for accurate computation of the…

Disordered Systems and Neural Networks · Physics 2025-05-08 Yi Liu , Ding Wang , Xin Wang , Dao-Xin Yao , Lei-Han Tang

Finite size scaling for a first order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "degeneracy" factor included. Predictions are…

Computational Physics · Physics 2019-03-27 Jiahao Xu , Shan-Ho Tsai , D. P. Landau , K. Binder

We study the out-of-equilibrium dynamics of one-dimensional quantum Ising models in a transverse field $g$, driven by a time-dependent longitudinal field $h$ across their {\em magnetic} first-order quantum transition at $h=0$, for…

Statistical Mechanics · Physics 2025-06-13 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We investigate finite-size effects in quantum systems at first-order quantum transitions. For this purpose we consider the one-dimensional q-state Potts models which undergo a first-order quantum transition for any q>4, separating the…

Statistical Mechanics · Physics 2015-05-13 Massimo Campostrini , Jacopo Nespolo , Andrea Pelissetto , Ettore Vicari

We study a model of phantom tethered membranes, embedded in three-dimensional space, by extensive Monte Carlo simulations. The membranes have hexagonal lattice structure where each monomer is interacting with six nearest-neighbors (NN).…

Statistical Mechanics · Physics 2009-11-07 J-P. Kownacki , H. T. Diep

In addition to signals for the critical point, evidence for a first order phase transition would indicate a nontrivial structure within the QCD phase diagram. Moreover, while not a direct measurement of the critical point, the presence of a…

Nuclear Theory · Physics 2025-11-20 Jamie M. Karthein , Volker Koch , Claudia Ratti

Phase transitions, as one of the most intriguing phenomena in nature, are divided into first-order phase transitions (FOPTs) and continuous ones in current classification. While the latter shows striking phenomena of scaling and…

Statistical Mechanics · Physics 2025-07-21 Yuxiang Zhang , Fan Zhong

In this work, we investigate the phase transitions and critical behaviors of the frustrated J1-J2-J3 Ising model on the square lattice using Monte Carlo simulations, and particular attention goes to the effect of the second next nearest…

Statistical Mechanics · Physics 2016-03-10 R. M. Liu , W. Z. Zhuo , S. Dong , X. B. Lu , X. S. Gao , M. H. Qin , J. -M. Liu

The investigation of the first-order quantum phase transition (QPT) is far from clarity in comparison to that of the second-order or continuous QPT, in which the order parameter and associated broken symmetry can be clearly identified and…

Statistical Mechanics · Physics 2025-11-07 Yun-Tong Yang , Hong-Gang Luo

We investigate the dynamic behavior of finite-size systems close to a first-order transition (FOT). We develop a dynamic finite-size scaling (DFSS) theory for the dynamic behavior in the coexistence region where different phases coexist. It…

Statistical Mechanics · Physics 2017-07-19 Andrea Pelissetto , Ettore Vicari

We revisit the phase structure and thermodynamics of QCD in the low temperature and high density region, where a strong, first-order phase transition is expected beyond the critical end point. By solving the quark gap equation in the…

High Energy Physics - Phenomenology · Physics 2026-02-10 Yi Lu , Fei Gao , Yu-xin Liu

The d=1 Ising ferromagnet and spin glass with long-range power-law interactions J r^-a is studied for all interaction range exponents a by a renormalization-group transformation that simultaneously projects local ferromagnetism and…

Statistical Mechanics · Physics 2025-09-25 E. Can Artun , A. Nihat Berker