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The hard square lattice gas model on a square lattice is known to undergo a continuous phase transition from a low density fluid-like phase to high density phase with columnar or smectic order. We estimate the critical activity $z_c$ by…

Statistical Mechanics · Physics 2017-07-11 Dipanjan Mandal , Trisha Nath , R. Rajesh

This is the first Monte Carlo study of the hard-sphere lattice gas with nearest neighbour exclusion on the body-centred cubic lattice. We estimate the critical activity to be $0.7223 \pm 0.0003$. This result confirms that there is a…

Condensed Matter · Physics 2015-06-25 Atsushi Yamagata

We have simulated the three-dimensional Heisenberg model on simple cubic lattices, using the single-cluster Monte Carlo update algorithm. The expected pronounced reduction of critical slowing down at the phase transition is verified. This…

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

We study the critical slowing down towards the continuum limit of lattice QCD simulations with Hybrid Monte Carlo type algorithms. In particular for the squared topological charge we find it to be very severe with an effective dynamical…

High Energy Physics - Lattice · Physics 2011-01-04 Stefan Schaefer , Rainer Sommer , Francesco Virotta

Magnetic thin films and 2D arrays of magnetic nanoparticles exhibit unique physical properties that make them valuable for a wide range of technological applications. In such systems, dipolar interactions play a crucial role in determining…

Statistical Mechanics · Physics 2025-08-15 S. Ismailzadeh , M. D. Niry

We present the results of a study of the three-dimensional $XY$-model on a simple cubic lattice using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length…

Condensed Matter · Physics 2009-10-22 A. P. Gottlob , M. Hasenbusch

We report on classical Monte Carlo study of phase transitions and critical behavior of a 2D spin-pseudospin model describing a dilute magnet with competing charge and spin interactions. The static critical exponents of the specific heat and…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , Yu. D. Panov

The critical behavior of long straight rigid rods of length $k$ ($k$-mers) on square and triangular lattices at intermediate density has been studied. A nematic phase, characterized by a big domain of parallel $k$-mers, was found. This…

Statistical Mechanics · Physics 2009-11-13 D. A. Matoz-Fernandez , D. H. Linares , A. J. Ramirez-Pastor

We study the 2D static spin-pseudospin model equivalent to the dilute frustrated antiferromagnetic Ising model with charge impurities. We present the results of classical Monte Carlo simulation on a square lattice with periodic boundary…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , A. A. Chikov , Yu. D. Panov

For the hard-core lattice gas model defined on independent sets weighted by an activity $\lambda$, we study the critical activity $\lambda_c(\mathbb{Z}^2)$ for the uniqueness/non-uniqueness threshold on the 2-dimensional integer lattice…

Discrete Mathematics · Computer Science 2014-07-10 Juan C. Vera , Eric Vigoda , Linji Yang

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

We use the stochastic series expansion quantum Monte Carlo method to study the Heisenberg models on the square lattice with strong and weak couplings in the form of three different plaquette arrangements known as checkerboard models…

Strongly Correlated Electrons · Physics 2019-05-30 Xiaoxue Ran , Nvsen Ma , Dao-Xin Yao

We take advantage of recent improvements in the grand canonical Hybrid Monte Carlo (HMC) algorithm, to perform a precision study of the single-particle gap in the hexagonal Hubbard model, with on-site electron-electron interactions. After…

Strongly Correlated Electrons · Physics 2021-11-01 Johann Ostmeyer

Using Monte Carlo Simulation and fundamental measure theory we study the phase diagram of a two-dimensional lattice gas model with a nearest neighbor hard core exclusion and a next-to-nearest neighbors finite repulsive interaction. The…

Soft Condensed Matter · Physics 2012-02-02 Noe G. Almarza , Jose A. Capitan , Jose A. Cuesta , Enrique Lomba

We have elucidated the dynamic phase transition features and finite-size scaling analysis of the triangular lattice system under the presence of a square-wave magnetic field. It has been found that as the value of half-period of the…

Statistical Mechanics · Physics 2017-06-13 Erol Vatansever

A two-dimensional fluid of hard spheres each having a spin $\pm 1$ and interacting via short-range Ising-like interaction is studied near the second order phase transition from the paramagnetic gas to the ferromagnetic gas phase. Monte…

Statistical Mechanics · Physics 2009-10-30 A. L. Ferreira , W. Korneta

Hubbard-type models on the hexagonal lattice are of great interest, as they provide realistic descriptions of graphene and other related materials. Hybrid Monte Carlo simulations offer a first-principles approach to study their phase…

Strongly Correlated Electrons · Physics 2021-06-22 Dominik Smith , Pavel Buividovich , Michael Körner , Maksim Ulybyshev , Lorenz von Smekal

We study the boundary critical behavior of the three-dimensional Heisenberg universality class, in the presence of a bidimensional surface. By means of high-precision Monte Carlo simulations of an improved lattice model, where leading bulk…

Statistical Mechanics · Physics 2025-05-12 Francesco Parisen Toldin

Critical scaling and universality in the short-time dynamics for antiferromagnetic models on a three-dimensional stacked triangular lattice are investigated using Monte Carlo simulation. We have determined the critical point by searching…

Statistical Mechanics · Physics 2009-11-11 S. Bekhechi , B. W. Southern , A. Peles , D. Mouhanna

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Heisenberg model with long-range correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic critical…

Disordered Systems and Neural Networks · Physics 2012-10-05 Pavel V. Prudnikov , Maria A. Medvedeva
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