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We report results of high-precision Monte Carlo simulations of a three-dimensional lattice model in the O(3) universality class, in the presence of a surface. By a finite-size scaling analysis we have proven the existence of a special…

Statistical Mechanics · Physics 2022-03-30 Francesco Parisen Toldin

Disagreement percolation connects a Gibbs lattice gas and i.i.d. site percolation on the same lattice such that non-percolation implies uniqueness of the Gibbs measure. This work generalises disagreement percolation to the hard-sphere model…

Probability · Mathematics 2019-07-02 Christoph Hofer-Temmel

We apply numerical simulations to study the criticality of the 3D Ising model with random site quenched dilution. The emphasis is given to the issues not being discussed in detail before. In particular, we attempt a comparison of different…

Statistical Mechanics · Physics 2009-04-03 D. Ivaneyko , J. Ilnytskyi , B. Berche , Yu. Holovatch

The dynamical properties of a three dimensional model glass, the frustrated Ising lattice gas (FILG) are studied by Monte Carlo simulations. We present results of compression experiments, where the chemical potential is either slowly or…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. J. Arenzon , F. Ricci-Tersenghi , D. A. Stariolo

We perform Monte Carlo simulations of Ising spin-glass models in three and four dimensions, as well as of Migdal-Kadanoff spin glasses on a hierarchical lattice. Our results show strong evidence for universal scaling in the spin-glass phase…

Disordered Systems and Neural Networks · Physics 2008-11-05 Thomas Jorg , Helmut G. Katzgraber

We use Quantum Monte Carlo to evaluate the conductivity $\sigma$ of the 2--dimensional disordered boson Hubbard model at the superfluid-bose glass phase boundary. At the critical point for particle density $\rho=0.5$, we find…

Condensed Matter · Physics 2009-10-22 G. G. Batrouni , B. Larson , R. T. Scalettar , J. Tobochnik , J. Wang

We (1) construct a one-parameter family of lattice models of interacting spins; (2) obtain their exact ground states; (3) derive a statistical-mechanical analogy which relates their ground states to O(n) loop gases; (4) show that the models…

Strongly Correlated Electrons · Physics 2009-11-10 Michael Freedman , Chetan Nayak , Kirill Shtengel

We report a simulation study of the gas-liquid critical point for the square-well potential, for values of well width delta as small as 0.005 times the particle diameter sigma. For small delta, the reduced second virial coefficient at the…

Soft Condensed Matter · Physics 2009-11-13 J. Largo , M. A. Miller , F. Sciortino

High-temperature series are computed for a generalized $3d$ Ising model with arbitrary potential. Two specific ``improved'' potentials (suppressing leading scaling corrections) are selected by Monte Carlo computation. Critical exponents are…

Statistical Mechanics · Physics 2009-10-31 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

We investigate the Eulerian bond-cubic model on the square lattice by means of Monte Carlo simulations, using an efficient cluster algorithm and a finite-size scaling analysis. The critical points and four critical exponents of the model…

Statistical Mechanics · Physics 2015-05-30 Cheng-Xiang Ding , Gui-Yuan Yao , Song Li , Youjin Deng , Wen-An Guo

Clusters in the three-dimensional Ising model rigorously obey reducibility and thermal scaling up to the critical temperature. The barriers extracted from Arrhenius plots depend on the cluster size as $B \propto A^{\sigma}$ where $\sigma$…

Nuclear Theory · Physics 2013-05-29 C. M. Mader , A. Chappars , J. B. Elliott , L. G. Moretto , L. Phair , G. J. Wozniak

We present results from simulations of the gauge glass model in three dimensions using the parallel tempering Monte Carlo technique. Critical fluctuations should not affect the data since we equilibrate down to low temperatures, for…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , A. P. Young

We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class. We find alpha=-0.0146(8), gamma=1.3177(5), nu=0.67155(27), eta=0.0380(4), beta=0.3485(2), and delta=4.780(2). We observe a…

Statistical Mechanics · Physics 2008-11-26 Massimo Campostrini , Martin Hasenbusch , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

We investigate the critical properties of cold bosonic gases in three dimensions, confined by an external quadratic potential coupled to the particle density, and realistically described by the Bose-Hubbard (BH) model. The trapping…

Quantum Gases · Physics 2014-02-18 Giacomo Ceccarelli , Jacopo Nespolo

We have substantially extended the high-temperature and low-magnetic-field (and the related low-temperature and high-magnetic-field) bivariate expansions of the free energy for the conventional three-dimensional Ising model and for a…

High Energy Physics - Lattice · Physics 2011-06-15 P. Butera , M. Pernici

We study the superfluid transition of $^4$He in aerogel by Monte Carlo simulations and finite size scaling analysis. Aerogel is a highly porous silica glass, which we model by a diffusion limited cluster aggregation model. The superfluid is…

Disordered Systems and Neural Networks · Physics 2007-05-23 Marios Nikolaou , Mats Wallin , Hans Weber

We numerically compute the helicity modulus of the three-dimensional gauge glass by Monte Carlo simulations. Because the average free energy is independent of a twist angle, it is expected that the average helicity modulus, directly related…

Disordered Systems and Neural Networks · Physics 2007-06-21 Helmut G. Katzgraber , D. Wuertz , G. Blatter

We study dilute gases of interacting bosons at zero-temperature in the region where the system is characterized only by the s-wave scattering length. We carry out quantum Monte Carlo simulation of the Bose Hubbard model and a…

Quantum Gases · Physics 2022-04-22 Akiko Masaki-Kato , Yuichi Motoyama , Naoki Kawashima

We present results of gasdynamics+N-body constrained cosmological simulations of the Local Supercluster region (LSC; about 30/h Mpc around the Virgo cluster), which closely mimic the real Universe within 100 Mpc by imposing constraints from…

Astrophysics · Physics 2009-11-07 Andrey V. Kravtsov , Anatoly A. Klypin , Yehuda Hoffman

The critical properties displayed by an ideal 2D Bose gas trapped in a harmonic potential are determined and characterized in an exact numerical fashion. Beyond thermodynamics, addressed in terms of the global pressure and volume which are…

Quantum Gases · Physics 2023-08-10 M. I. Morales-Amador , V. Romero-Rochin , R. Paredes