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Using large scale quantum Monte Carlo simulations of lattice bosonic models, we precisely investigate the effect of weak Josephson tunneling between 2D superfluid or superconducting layers. In the clean case, the Kosterlitz-Thouless…

Strongly Correlated Electrons · Physics 2012-10-05 Nicolas Laflorencie

We study a Ginzburg-Landau model of structural phase transition in two dimensions, in which a single order parameter is coupled to the tetragonal and dilational strains. Such elastic coupling terms in the free energy much affect the phase…

Materials Science · Physics 2009-11-13 Akihiko Minami , Akira Onuki

We consider a one-dimensional Ising model in a transverse magnetic field coupled to a dissipative heat bath. The phase diagram and the critical exponents are determined from extensive Monte Carlo simulations. It is shown that the character…

Statistical Mechanics · Physics 2007-05-23 Philipp Werner , Klaus Voelker , Matthias Troyer , Sudip Chakravarty

We analyze the hard-core Bose-Hubbard model with both the three-body and nearest neighbor repulsions on the triangular lattice. The phase diagram is achieved by means of the semi-classical approximation and the quantum Monte Carlo…

Quantum Gases · Physics 2011-05-23 Xue-Feng Zhang , Yu-Chuan Wen , Yue Yu

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

Phase transitions inside the pores of an aerogel are investigated by modelizing the aerogel structure by diffusion-limited cluster-cluster aggregation on a cubic lattice in a finite box and considering $q$-states Potts variables on the…

Condensed Matter · Physics 2009-10-28 Katarina Uzelac , Anwar Hasmy , Rémi Jullien

We consider the 3-dimensional massive Gross-Neveu model at finite temperature as an effective theory for strong interactions. Using the Matsubara imaginary time formalism, we derive a closed form for the renormalized $T$-dependent…

High Energy Physics - Theory · Physics 2010-12-01 F. C. Khanna , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

We make for the first time a large-scale Monte-Carlo simulation of a ferromagnetic Heisenberg model with dipolar interactions on a two dimensional square lattice with open boundaries using an efficient new technique. We find that a phase…

Condensed Matter · Physics 2007-05-23 Fumitaka Matsubara , Junya Sasaki

The flows of phase trajectories of cosmological models based on the vacuum classical Higgs field and their behavior on the Einstein-Higgs surface near singular points of a dynamical system are investigated by numerical simulation. The…

General Relativity and Quantum Cosmology · Physics 2022-03-28 Yu. G. Ignat'ev , A. R. Samigullina

We introduce a phenomenological continuum model for mode III dynamic fracture that is based on the phase-field methodology used extensively to model interfacial pattern formation. We couple a scalar field, which distinguishes between…

Soft Condensed Matter · Physics 2009-11-07 Alain Karma , David A. Kessler , Herbert Levine

We investigate, via Monte Carlo simulations, the phase structure of a system of closed, nonintersecting but otherwise non-interacting, loops in 3 Euclidean dimensions. The loops correspond to closed trajectories of massive particles and we…

High Energy Physics - Lattice · Physics 2015-03-13 Richard MacKenzie , F. Nebia-Rahal , M. B. Paranjape

We construct a driven sandpile slope model and study it by numerical simulations in one dimension. The model is specified by a threshold slope $\sigma_c\/$, a parameter $\alpha\/$, governing the local current-slope relation (beyond…

Condensed Matter · Physics 2009-10-22 Sujan K. Dhar , Rahul Pandit , Sriram Ramaswamy

Using Monte Carlo histogram methods, the microcanonical caloric curve is computed for the Ising model in two and three dimensions with fixed magnetization. Whereas the signatures of a first order phase transition are clearly visible for…

Condensed Matter · Physics 2015-06-24 Michel Pleimling , Alfred Hueller

The order of the superconducting phase transition is analyzed via the functional renormalization group approach. For the first time, we derive fully analytic expressions for the $\beta$ functions of the charge and the self-coupling in the…

Superconductivity · Physics 2016-08-26 G. Fejos , T. Hatsuda

Recent analyses of wetting in the semi-infinite two dimensional Ising model, extended to include both a surface coupling enhancement and a surface field, have shown that the wetting transition may be effectively first-order and that…

Statistical Mechanics · Physics 2016-07-20 Andrew O. Parry , Alexandr Malijevský

We present a detailed analysis of the Kitaev--Heisenberg model on a single hexagon. The energy spectra and spin--spin correlations obtained using exact diagonalisation indicate quantum phase transitions between antiferromagnetic and…

Strongly Correlated Electrons · Physics 2015-03-30 Dorota Gotfryd , Andrzej M. Oleś

We present Monte Carlo simulation results for the three dimensional Thirring model on moderate sized lattices using a hybrid molecular dynamics algorithm which permits an odd or non-integer number Nf of fermion flavors. We find a continuous…

High Energy Physics - Lattice · Physics 2009-10-31 Simon Hands , Biagio Lucini

It has been well established that spatially extended, bistable systems that are driven by an oscillating field exhibit a nonequilibrium dynamic phase transition (DPT). The DPT occurs when the field frequency is on the order of the inverse…

Statistical Mechanics · Physics 2007-05-23 G. Korniss , P. A. Rikvold , M. A. Novotny

We discuss the geometry of dynamical triangulations associated with 3-dimensional and 4-dimensional simplicial quantum gravity. We provide analytical expressions for the canonical partition function in both cases, and study its large volume…

High Energy Physics - Theory · Physics 2008-11-26 J. Ambjorn , M. Carfora , A. Marzuoli

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