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Related papers: The critical behavior of three-dimensional Ising s…

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We consider the two-dimensional randomly site diluted Ising model and the random-bond +-J Ising model (also called Edwards-Anderson model), and study their critical behavior at the paramagnetic-ferromagnetic transition. The critical…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. Hasenbusch , F. Parisen Toldin , A. Pelissetto , E. Vicari

The role of the distribution of coupling constants on the critical exponents of the short-range Ising spin-glass model is investigated via real space renormalization group. A saddle-point spin glass critical point characterized by a…

Disordered Systems and Neural Networks · Physics 2015-06-25 E. Nogueira , S. Coutinho , F. D. Nobre , E. M. F. Curado

Motivated in part by quantum criticality in dissipative Kondo systems, we revisit the finite-size scaling of a classical Ising chain with 1/r^{2-epsilon} interactions. For 1/2<epsilon<1, the scaling of the dynamical spin susceptibility is…

Strongly Correlated Electrons · Physics 2009-04-24 Stefan Kirchner , Qimiao Si , Kevin Ingersent

We perform Monte Carlo simulations of large two-dimensional Gaussian Ising spin glasses down to very low temperatures $\beta=1/T=50$. Equilibration is ensured by using a cluster algorithm including Monte Carlo moves consisting of flipping…

Disordered Systems and Neural Networks · Physics 2009-11-10 J. Houdayer , Alexander K. Hartmann

We perform short-time Monte Carlo simulations to study the criticality of the isotropic two-state majority-vote model on cubic lattices of volume $N = L^3$, with $L$ up to $2048$. We obtain the precise location of the critical point by…

Statistical Mechanics · Physics 2021-05-05 K. P. do Nascimento , L. C. de Souza , André L. M. Vilela , H. Eugene Stanley , A. J. F. de Souza

The influence of random site dilution on the critical properties of the two-dimensional Ising model on a square lattice was explored by Monte Carlo simulations with the Wang-Landau sampling. The lattice linear size was $L = 20-120$ and the…

Statistical Mechanics · Physics 2008-07-02 I. A. Hadjiagapiou , A. Malakis , S. S. Martinos

We report single-cluster Monte Carlo simulations of the Ising model on three-dimensional Poissonian random lattices with up to 128,000 approx. 503 sites which are linked together according to the Voronoi/Delaunay prescription. For each…

Disordered Systems and Neural Networks · Physics 2009-11-07 W. Janke , R. Villanova

We investigate by Monte Carlo simulations the critical properties of the three-dimensional bond-diluted Ising model. The phase diagram is determined by locating the maxima of the magnetic susceptibility and is compared to mean-field and…

Statistical Mechanics · Physics 2010-07-13 P. E. Berche , C. Chatelain , B. Berche , W. Janke

We implement a two-stage approach of the Wang-Landau algorithm to investigate the critical properties of the 3D Ising model with quenched bond randomness. In particular, we consider the case where disorder couples to the nearest-neighbor…

Statistical Mechanics · Physics 2011-06-03 P. E. Theodorakis , N. G. Fytas

While the 3d Ising model has defied analytic solution, various numerical methods like Monte Carlo, MCRG and series expansion have provided precise information about the phase transition. Using Monte Carlo simulation that employs the Wolff…

Computational Physics · Physics 2018-06-12 Alan M. Ferrenberg , Jiahao Xu , David P. Landau

We present the results of extensive Monte Carlo simulations of Ising models with algebraically decaying ferromagnetic interactions in the regime where classical critical behavior is expected for these systems. We corroborate the values for…

Statistical Mechanics · Physics 2009-10-30 Erik Luijten , Henk W. J. Blöte

Following numerous earlier studies, extensive simulations and analyses were made on the continuous interaction distribution Gaussian model and the discrete bimodal interaction distribution Ising Spin Glass (ISG) models in dimension two…

Disordered Systems and Neural Networks · Physics 2017-04-12 P. H. Lundow , I. A. Campbell

Using transfer-matrix extended phenomenological renormalization-group methods the critical properties of spin-1/2 Ising model on a simple-cubic lattice with partly anisotropic coupling strengths ${\vec J}=(J',J',J)$ are studied.…

Statistical Mechanics · Physics 2009-11-10 M. A. Yurishchev

We investigate the effects of quenched bond randomness on the critical properties of the two-dimensional ferromagnetic Ising model embedded in a triangular lattice. The system is studied in both the pure and disordered versions by the same…

Statistical Mechanics · Physics 2010-04-16 Nikolaos G. Fytas , Anastasios Malakis

The single-cluster Monte Carlo algorithm and the reweighting technique are used to simulate the 3D-ferromagnetic Ising model on three dimensional Voronoi-Delaunay lattices. It is assumed that the coupling factor $J$ varies with the distance…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. W. S. Lima , U. M. S. Costa , R. N. Costa Filho

Among the Renormalization Group Theory scaling rules relating critical exponents, there are hyperscaling rules involving the dimension of the system. It is well known that in Ising models hyperscaling breaks down above the upper critical…

Disordered Systems and Neural Networks · Physics 2018-01-24 P. H. Lundow , I. A. Campbell

The self-dual random-bond eight-state Potts model is studied numerically through large-scale Monte Carlo simulations using the Swendsen-Wang cluster flipping algorithm. We compute bulk and surface order parameters and susceptibilities and…

Statistical Mechanics · Physics 2009-10-31 Christophe Chatelain , Bertrand Berche

We investigate as a member of the Ising universality class the Next-Nearest Neighbour Ising model without external field on a simple cubic lattice by using the Monte Carlo Metropolis Algorithm. The Binder cumulant and the susceptibility…

Statistical Mechanics · Physics 2007-05-23 Melanie Schulte , Caroline Drope

We investigate the ferromagnetic-glassy transitions which separate the low-temperature ferromagnetic and spin-glass phases in the temperature-disorder phase diagram of three-dimensional Ising spin-glass models. For this purpose, we consider…

Disordered Systems and Neural Networks · Physics 2015-05-28 Giacomo Ceccarelli , Andrea Pelissetto , Ettore Vicari

We present results from the simulation of a two-coupling spin-1 model with states 0,+1,-1 and nearest neighbour interaction. By a suitable choice of couplings we are able to drastically reduce the effects of corrections to scaling. Our…

Statistical Mechanics · Physics 2007-05-23 M. Hasenbusch , K. Pinn , S. Vinti