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Monte Carlo simulation has been performed in one-dimensional Lebwohl-Lasher model and two dimensional XY-model using the Wang-Landau and the Wang-Landau-Transition-Matrix Monte Carlo methods. Random walk has been performed in the…

Statistical Mechanics · Physics 2010-05-27 Shyamal Bhar , Soumen Kumar Roy

We study complex CFTs describing fixed points of the two-dimensional $Q$-state Potts model with $Q>4$. Their existence is closely related to the weak first-order phase transition and walking RG behavior present in the real Potts model at…

High Energy Physics - Theory · Physics 2018-11-28 Victor Gorbenko , Slava Rychkov , Bernardo Zan

The class of random-cluster models is a unification of a variety of stochastic processes of significance for probability and statistical physics, including percolation, Ising, and Potts models; in addition, their study has impact on the…

Probability · Mathematics 2007-05-23 Geoffrey Grimmett

We study a $U(1)\times U(1)$ system in (2+1)-dimensions with long-range interactions and mutual statistics. The model has the same form after the application of operations from the modular group, a property which we call modular invariance.…

Statistical Mechanics · Physics 2013-05-30 Scott D. Geraedts , Olexei I. Motrunich

We investigate the critical behavior of the one-dimensional q-state Potts model with long-range (LR) interaction $1/r^{d+\sigma}$, using a multicanonical algorithm. The recursion scheme initially proposed by Berg is improved so as to make…

Statistical Mechanics · Physics 2007-05-23 Sylvain Reynal , Hung-The Diep

We report Monte Carlo results for the two-dimensional hard disk system. Simulations were performed in the NVT ensemble with up to 65536 disks, using a new updating scheme. We analyze the bond orientational order parameter and correlation…

Statistical Mechanics · Physics 2009-10-31 Andreas Jaster

A versatile and numerically inexpensive method is presented allowing the accurate calculation of phase diagrams for bosonic lattice models. By treating clusters within the Gutzwiller theory, a surprisingly good description of quantum…

Quantum Gases · Physics 2013-05-14 Dirk-Sören Lühmann

We introduce a Monte Carlo method, as a modification of existing cluster algorithms, which allows simulations directly on systems of infinite size, and for quantum models also at beta=infinity. All two-point functions can be obtained,…

Statistical Mechanics · Physics 2007-05-23 H. G. Evertz , W. von der Linden

We present an optimized version of a cluster labeling algorithm previously introduced by the authors. This algorithm is well suited for large-scale Monte Carlo simulations of spin models using cluster dynamics on parallel computers with…

High Energy Physics - Lattice · Physics 2015-06-25 M. Flanigan , P. Tamayo

We use the Fortuin-Kasteleyn representation based improved estimator of the correlation configuration as an alternative to the ordinary correlation configuration in the machine-learning study of the phase classification of spin models. The…

Statistical Mechanics · Physics 2020-08-14 Yusuke Tomita , Kenta Shiina , Yutaka Okabe , Hwee Kuan Lee

We propose a highly efficient "worm" like cluster Monte Carlo algorithm for the quantum rotor model in the link-current representation. We explicitly prove detailed balance for the new algorithm even in the presence of disorder. For the…

Strongly Correlated Electrons · Physics 2009-11-07 Fabien Alet , Erik S. Sorensen

We report a fairly detailed finite-size scaling analysis of the first-order phase transition in the three-dimensional 3-state Potts model on cubic lattices with emphasis on recently introduced quantities whose infinite-volume extrapolations…

High Energy Physics - Lattice · Physics 2016-09-01 Wolfhard Janke , Ramon Villanova

We consider a zero-temperature one-dimensional system of bosons interacting via the soft-shoulder potential in the continuum, typical of dressed Rydberg gases. We employ quantum Monte Carlo simulations, which allow for the exact calculation…

We study the Potts model on a rectangular lattice with aperiodic modulations in its interactions along one direction. Numerical results are obtained using the Wolff algorithm and for many lattice sizes, allowing for a finite-size scaling…

Statistical Mechanics · Physics 2015-05-28 D. Girardi , N. S. Branco

A cluster Monte Carlo algorithm for the Ashkin-Teller (AT) model is constructed according to the guidelines of a general scheme for such algorithms. Its dynamical behaviour is tested for the square lattice AT model. We perform simulations…

High Energy Physics - Lattice · Physics 2009-09-25 S. Wiseman , E. Domany

We show that addition of Metropolis single spin-flips to the Wolff cluster flipping Monte Carlo procedure leads to a dramatic {\bf increase} in performance for the spin-1/2 Ising model. We also show that adding Wolff cluster flipping to the…

Statistical Mechanics · Physics 2009-11-07 J. A. Plascak , Alan M. Ferrenberg , D. P. Landau

Phase transitions of fluid mixtures of the type introduced by Stillinger and Helfand are studied using a continuum version of the invaded cluster algorithm. Particles of the same species do not interact, but particles of different types…

Statistical Mechanics · Physics 2009-10-31 Rongfeng Sun , Harvey Gould , Jon Machta , Lincoln Chayes

We consider a 3-dimensional lattice model of a network-forming fluid, which has been recently investigated by Girardi and coworkers by means of Monte Carlo simulations [J. Chem. Phys. \textbf{126}, 064503 (2007)], with the aim of describing…

Chemical Physics · Physics 2009-11-13 C. Buzano , E. De Stefanis , M. Pretti

The efficiency of statistical sampling in broad-histogram Monte Carlo simulations can be considerably improved by optimizing the simulated extended ensemble for fastest equilibration. Here we describe how a recently developed feedback…

Statistical Mechanics · Physics 2007-12-13 Stefan Wessel , Norbert Stoop , Emanuel Gull , Simon Trebst , Matthias Troyer

Using large-scale numerical simulations we studied the kinetics of the 2d q-Potts model for q > 4 after a shallow subcritical quench from a high-temperature homogeneous configuration. This protocol drives the system across a first-order…

Statistical Mechanics · Physics 2019-06-25 Federico Corberi , Leticia F Cugliandolo , Marco Esposito , Marco Picco