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Related papers: Ensemble inequivalence in the Blume-Emery-Griffith…

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We introduce a method based on the chiral susceptibility, which enables one to draw a phase diagram in the chemical-potential/temperature plane for strongly-interacting quarks whose interactions are described by any reasonable gap equation,…

Nuclear Theory · Physics 2011-05-09 Si-xue Qin , Lei Chang , Huan Chen , Yu-xin Liu , Craig D. Roberts

We investigate a model of globally coupled conservative oscillators. Two different algebraic potentials are considered that display in the canonical ensemble either a second ($\phi^{4}$) or both a second and a first order phase transition…

Statistical Mechanics · Physics 2009-11-10 Thierry Dauxois , Stefano Lepri , Stefano Ruffo

We investigate infinite-order phase transitions like the Berezinskii-Kosterlitz-Thouless transition observed in a triangular-lattice three-spin interaction model. Based on a field theoretical description and the…

Statistical Mechanics · Physics 2008-08-08 Hiromi Otsuka , Kiyohide Nomura

The theory of second order phase transitions is one of the foundations of modern statistical mechanics and condensed matter theory. A central concept is the observable `order parameter', whose non-zero average value characterizes one or…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Ashvin Vishwanath , Leon Balents , Subir Sachdev , M. P. A. Fisher

The Blume-Emery-Griffiths model with a random crystal field is studied in a random graph architecture, in which the average connectivity is a controllable parameter. The disordered average over the graph realizations is treated by replica…

Disordered Systems and Neural Networks · Physics 2023-02-22 R. Erichsen , Alexandre Silveira , S. G. Magalhaes

A system defined by two coupled Ising models, with a bimodal random field acting in one of them, is investigated. The interactions among variables of each Ising system are infinite-ranged, a limit where mean field becomes exact. This model…

Statistical Mechanics · Physics 2014-06-24 Octavio D. Rodriguez Salmon , Fernando Dantas Nobre

The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the…

High Energy Physics - Lattice · Physics 2024-04-25 Rafael C. Torres , Nuno Cardoso , Pedro Bicudo , Pedro Ribeiro , Paul McClarty

We study FK-percolation where the edge parameters are chosen as independent random variables in the near-critical regime. We show that if these parameters satisfy a natural centering condition around the critical point, then the quenched…

Probability · Mathematics 2025-09-12 Emile Avérous , Rémy Mahfouf

We study the bipartite von Neumann entropy of two particles interacting via a long-range scale-free potential $V(r)\sim -g/r^2$ in three dimensions, close to the unbinding transition. The nature of the quantum phase transition changes from…

Statistical Mechanics · Physics 2012-10-09 Poulomi Sadhukhan , Somendra M. Bhattacharjee

In this work, we revisited the Ziff-Gulari-Barshad (ZGB) model to study its phase transitions and critical exponents through time-dependent Monte Carlo simulations. We used a method proposed recently to locate the non-equilibrium…

Statistical Mechanics · Physics 2016-08-31 Henrique A. Fernandes , Roberto da Silva , Eder D. Santos , Paulo F. Gomes , Everaldo Arashiro

The phase diagram of the simplest approximation to Double-Exchange systems, the bosonic Double-Exchange model with antiferromagnetic super-exchange coupling, is fully worked out by means of Monte Carlo simulations, large-N expansions and…

Strongly Correlated Electrons · Physics 2009-11-10 J. L. Alonso , A. Cruz , L. A. Fernandez , S. Jimenez , V. Martin-Mayor , J. J. Ruiz-Lorenzo , A. Tarancon

We consider a paradigmatic model describing the one-dimensional motion of $N$ rotators coupled through a mean-field interaction, and subject to the perturbation of an external magnetic field. The latter is shown to significantly alter the…

Statistical Mechanics · Physics 2010-11-29 Giovanni De Ninno , Duccio Fanelli

Ensemble inequivalence has been observed in several systems. In particular it has been recently shown that negative specific heat can arise in the microcanonical ensemble in the thermodynamic limit for systems with long-range interactions.…

Statistical Mechanics · Physics 2015-06-24 F. Leyvraz , S. Ruffo

Using quantum simulations on classical hardware, we study the phase diagram of the massive Schwinger model with a $\theta$-term at finite chemical potential $\mu$. We find that the quantum critical point in the phase diagram of the model…

High Energy Physics - Phenomenology · Physics 2023-12-05 Kazuki Ikeda , Dmitri E. Kharzeev , René Meyer , Shuzhe Shi

We study the one-dimensional (1D) quantum compass model with two independent parameters by means of an exact mapping to the quantum Ising model. This allows us to uncover hidden features of the quantum phase transition in the ordinary…

Strongly Correlated Electrons · Physics 2009-06-29 Erik Eriksson , Henrik Johannesson

The critical and multicritical behavior of the simple cubic Ising model with nearest-neighbor, next-nearest-neighbor and plaquette interactions is studied using the cube and star-cube approximations of the cluster variation method and the…

Statistical Mechanics · Physics 2008-12-18 E. N. M. Cirillo , G. Gonnella , A. Pelizzola

We consider the critical behaviors and phase transitions of Gauss Bonnet-Born Infeld-AdS black holes (GB-BI-AdS) for $d=5,6$ and the extended phase space. We assume the cosmological constant, $\Lambda$, the coupling coefficient $\alpha$,…

General Relativity and Quantum Cosmology · Physics 2017-01-03 Zeinab Sherkatghanad , Behrouz Mirza , Zahra Mirzaeyan , Seyed Ali Hosseini Mansoori

We show that the Linear Sigma Model with quarks produces an effective description of the QCD phase diagram and of the system's equilibrium distribution properties that deviate from those of the Hadron Resonance Gas Model. The deviation is…

As parameters are varied a boundary equilibrium bifurcation (BEB) occurs when an equilibrium collides with a discontinuity surface in a piecewise-smooth system of ODEs. Under certain genericity conditions, at a BEB the equilibrium either…

Dynamical Systems · Mathematics 2018-11-14 D. J. W. Simpson

The asymptotic equivalence of canonical and microcanonical ensembles is a central concept in statistical physics, with important consequences for both theoretical research and practical applications. However, this property breaks down under…

Statistical Mechanics · Physics 2023-05-30 Qi Zhang , Diego Garlaschelli