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The infrared behaviour of a non-mean field spin-glass system is analysed, and the critical exponent related to the divergence of the correlation length is computed at two loops within the epsilon-expansion technique with two independent…

Disordered Systems and Neural Networks · Physics 2014-09-12 Michele Castellana , Giorgio Parisi

The critical dynamics of superconductors is studied using renormalization group and duality arguments. We show that in extreme type II superconductors the dynamic critical exponent is given exactly by $z=3/2$. This result does not rely on…

Superconductivity · Physics 2007-05-23 Flavio S. Nogueira , Dirk Manske

We study an irreversible Markov chain Monte Carlo method based on a skew detailed balance condition for an one-dimensional Ising model. Dynamical behavior of the magnetization density is analyzed in order to understand the properties of…

Statistical Mechanics · Physics 2015-06-12 Yuji Sakai , Koji Hukushima

In this work, we study the critical behavior of second order points and specifically of the Lifshitz point (LP) of a three-dimensional Ising model with axial competing interactions (ANNNI model), using time-dependent Monte Carlo…

Statistical Mechanics · Physics 2016-12-28 Roberto da Silva , Nelson Alves , J. R. Drugowich de Felício

The 2D RP(2) gauge model is studied using the Monte-Carlo Renormalization Group. We confirm the first-order transition reported by Solomon et al. (PL 112B, (1982)) ending in a critical point associated with vorticity. We find evidence for a…

High Energy Physics - Lattice · Physics 2009-10-30 S. M. Caterall , M. Hasenbusch , R. R. Horgan , R. L. Renken

The dynamic relaxation process for the two dimensional Potts model at criticality starting from an initial state with very high temperature and arbitrary magnetization is investigated with Monte Carlo methods. The results show that there…

Condensed Matter · Physics 2009-10-28 B. Zheng

Reassessment of the critical temperature and density of the restricted primitive model of an ionic fluid by Monte Carlo simulations performed for system sizes with linear dimension up to $L/\sigma=34$ and sampling of $\sim 10^9$ trial moves…

Statistical Mechanics · Physics 2009-11-07 J. -M. Caillol , D. Levesque , J. -J. Weis

The corrections to finite-size scaling in the critical two-point correlation function G(r) of 2D Ising model on a square lattice have been studied numerically by means of exact transfer-matrix algorithms. The systems have been considered,…

Statistical Mechanics · Physics 2007-05-23 J. Kaupuzs

A cluster Monte Carlo method for systems of classical spins with purely dipolar couplings is presented. It is tested and applied for finite arrays of perpendicular Ising dipoles on the triangular lattice. This model is a modification with…

Statistical Mechanics · Physics 2009-11-07 Ulrich K. Roessler

Extensive Monte Carlo simulations are employed in order to study the dynamic critical behavior of the one-dimensional Ising magnet, with algebraically decaying long-range interactions of the form $\frac{1}{r^{d+\sigma}}$, with…

Statistical Mechanics · Physics 2011-04-15 D. E. Rodriguez , M. A. Bab , E. V. Albano

We propose a new efficient scheme for the quantum Monte Carlo study of quantum critical phenomena in quantum spin systems. Rieger and Young's Trotter-number-dependent finite-size scaling in quantum spin systems and Ito {\it et al.}'s…

Statistical Mechanics · Physics 2009-10-31 Yoshihiko Nonomura

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

We study the early time dynamics of the 2d ferromagnetic Ising model instantaneously quenched from the disordered to the ordered, low temperature, phase. We evolve the system with kinetic Monte Carlo rules that do not conserve the order…

Statistical Mechanics · Physics 2018-02-07 Thibault Blanchard , Leticia F. Cugliandolo , Marco Picco , Alessandro Tartaglia

Monte Carlo data of the two-dimensional Ising spin glass with bimodal interactions are presented with the aim of understanding the low-temperature physics of the model. An analysis of the specific heat, spin-glass susceptibility,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , Lik Wee Lee , I. A. Campbell

Using the new supercomputer JUMP at the Research Center Juelich, we were able to simulate large lattices (up to L=2000000, meaning a new world record) for long times (up to T=6000 for L=150000). Using this data, we examined the dynamical…

Statistical Mechanics · Physics 2009-11-10 Daniel Tiggemann

We study the special point in the phase diagram of a semi-infinite system, where the bulk transition is in the three-dimensional Ising universality class. To this end we perform a finite size scaling study of the improved Blume-Capel model…

Statistical Mechanics · Physics 2012-05-21 Martin Hasenbusch

We use extensive Monte Carlo transfer matrix calculations on infinite strips of widths $L$ up to 30 lattice spacing and a finite-size scaling analysis to obtain critical exponents and conformal anomaly number $c$ for the two-dimensional…

Condensed Matter · Physics 2009-10-28 M. P. Nightingale , E. Granato , J. M. Kosterlitz

The Density Matrix Renormalization Group (DMRG) method with periodic boundary conditions is introduced for two dimensional classical spin models. It is shown that this method is more suitable for derivation of the properties of infinite 2D…

Statistical Mechanics · Physics 2009-10-31 Andrej Gendiar , Anton Surda

Extensive Monte Carlo simulations in the semi-grand-canonical ensemble are used to study the critical behavior of a three-dimensional compressible Ising model with antiferromagnetic interactions under constant volume conditions. Elastic…

Statistical Mechanics · Physics 2009-11-10 Luigi Cannavacciuolo , D. P. Landau

We calculate the critical temperature of the Ising model on a set of graphs representing a concatenated three-bit error-correction code. The graphs are derived from the stabilizer formalism used in quantum error correction. The stabilizer…

Quantum Physics · Physics 2015-05-13 C. Ricardo Viteri , Yu Tomita , Kenneth R. Brown