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A microcanonical first order transition, connecting a clustered to a homogeneous phase, is studied from both the thermodynamic and dynamical point of view for a N-body Hamiltonian system with infinite-range couplings. In the microcanonical…

Statistical Mechanics · Physics 2007-05-23 Mickael Antoni , Stefano Ruffo , Alessandro Torcini

The phase spaces of the two- and three-frequency sine-Gordon models are examined in the framework of truncated conformal space approach. The focus is mainly on a tricritical point in the phase space of the three-frequency model. We give…

High Energy Physics - Theory · Physics 2009-11-10 Gabor Zsolt Toth

The phase diagram of the massive chiral Gross-Neveu model (the 1+1-dimensional Nambu-Jona-Lasinio model at large N) is investigated in the vicinity of the tricritical point. Using the derivative expansion, the grand canonical potential is…

High Energy Physics - Theory · Physics 2008-11-26 Christian Boehmer , Michael Thies , Konrad Urlichs

We confirm recent claims that, contrary to what was generally believed, the phase transition of the dynamical triangulation model of four-dimensional quantum gravity is of first order. We have looked at this at a volume of 64,000…

High Energy Physics - Lattice · Physics 2009-10-28 Bas V. de Bakker

Phase transitions in a classical Heisenberg spin model of a chiral helimagnet with the Dzyaloshinskii--Moriya (DM) interaction in three dimensions are numerically studied. By using the event-chain Monte Carlo algorithm recently developed…

Statistical Mechanics · Physics 2016-08-29 Yoshihiko Nishikawa , Koji Hukushima

We study the three-dimensional (3D) compact U(1) lattice gauge theory coupled with $N$-flavor Higgs fields by means of the Monte Carlo simulations. This model is relevant to multi-component superconductors, antiferromagnetic spin systems in…

High Energy Physics - Lattice · Physics 2009-10-26 T. Ono , S. Doi , Y. Hori , I. Ichinose , T. Matsui

In his pioneering work on negative specific heat, Walter Thirring in\-tro\-duced a model that is solvable in the microcanonical ensemble. Here, we give a complete description of the phase-diagram of this model in both the microcanonical and…

Statistical Mechanics · Physics 2016-07-15 Alessandro Campa , Lapo Casetti , Ivan Latella , Agustín Pérez-Madrid , Stefano Ruffo

We have performed multicanonical simulations to study the critical behavior of the two-dimensional Ising model with dipole interactions. This study concerns the thermodynamic phase transitions in the range of the interaction \delta where…

Statistical Mechanics · Physics 2012-07-18 Jacyana S. M. Fonseca , Leandro G. Rizzi , Nelson A. Alves

We use the single-cluster Monte Carlo update algorithm to simulate the three-dimensional classical Heisenberg model in the critical region on simple cubic lattices of size $L^3$ with $L=12, 16, 20, 24, 32, 40$, and $48$. By means of…

High Energy Physics - Lattice · Physics 2009-10-22 Christian Holm , Wolfhard Janke

The dynamic phase transition has been studied in the two dimensional kinetic Ising model in presence of a time varying (sinusoidal) magnetic field by Monte Carlo simulation. The nature (continuous or discontinuous) of the transition is…

Statistical Mechanics · Physics 2009-10-31 Muktish Acharyya

The dynamical triangulations approach to quantum gravity is investigated in detail for the first time in five dimensions. In this case, the most general action that is linear in components of the f-vector has three terms. It was suspected…

High Energy Physics - Lattice · Physics 2016-09-01 Alun George

By means of high-resolution ultrasonic velocity measurements, as a function of temperature and magnetic field, the nature of the different low temperatures magnetic phase transitions observed for the quasi-one-dimensional compound CsNiCl3…

Strongly Correlated Electrons · Physics 2009-11-11 G. Quirion , X. Han , M. L. Plumer , M. Poirier

We present extensive Monte Carlo simulations on a two-dimensional XY model with a modified form of interaction potential. Thermodynamic quantities other than energy, specific heat etc (such as magnetization, susceptibility, fourth order…

Statistical Mechanics · Physics 2013-05-24 Suman Sinha

The continuous ferromagnetic-paramagnetic phase transition in the two-dimensional Ising model has already been excessively studied by conventional canonical statistical analysis in the past. We use the recently developed generalized…

Statistical Mechanics · Physics 2020-05-06 Kedkanok Sitarachu , Michael Bachmann

We consider a Hamiltonian system made of $N$ classical particles moving in two dimensions, coupled via an {\it infinite-range interaction} gauged by a parameter $A$. This system shows a low energy phase with most of the particles trapped in…

Statistical Mechanics · Physics 2009-11-07 Mickael Antoni , Stefano Ruffo , Alessandro Torcini

We use Grassmann algebra to study the phase transition in the two-dimensional ferromagnetic Blume-Capel model from a fermionic point of view. This model presents a phase diagram with a second order critical line which becomes first order…

Statistical Mechanics · Physics 2009-11-13 Maxime Clusel , Jean-Yves Fortin , Vladimir N. Plechko

The nature of the phase transition for the XY stacked triangular antiferromagnet (STA) is a controversial subject at present. The field theoretical renormalization group (RG) in three dimensions predicts a first order transition. This…

Statistical Mechanics · Physics 2009-10-31 D. Loison , K. D. Schotte

Microcanonical analysis is a powerful method for studying phase transitions of finite-size systems. This method has been used so far only for studying phase transitions of equilibrium systems, which can be described by microcanonical…

Statistical Mechanics · Physics 2016-06-08 Julian Lee

We use a novel method of computing the third moment M_3 of the action of the 2+1-dimensional compact Higgs model in the adjoint representation with q=2 to extract correlation length and specific heat exponents nu and alpha, without invoking…

Strongly Correlated Electrons · Physics 2009-11-07 A. Sudbø , E. Smørgrav , J. Smiseth , F. S. Nogueira , J. Hove

We consider a discrete model of euclidean quantum gravity in four dimensions based on a summation over random simplicial manifolds. The action used is the Einstein-Hilbert action plus an $R^2$-term. The phase diagram as a function of the…

High Energy Physics - Theory · Physics 2009-10-22 J. Ambjorn , J. Jurkiewicz , C. F. Kristjansen