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Related papers: Susceptibility amplitude ratio in the two-dimensio…

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We present results of Monte Carlo simulations of random bond Potts models in two dimensions, for different numbers of Potts states, q. We introduce a simple scheme which yields continuous self-dual distributions of the interactions. As…

Disordered Systems and Neural Networks · Physics 2008-12-18 T. Olson , A. P. Young

The fidelity susceptibility measures sensitivity of eigenstates to a change of an external parameter. It has been fruitfully used to pin down quantum phase transitions when applied to ground states (with extensions to thermal states). Here…

Disordered Systems and Neural Networks · Physics 2020-04-10 Piotr Sierant , Artur Maksymov , Marek Kuś , Jakub Zakrzewski

We study the effect of interfacial phenomena in two-dimensional perfect and random (or disordered) $q$-state Potts models with continuous phase transitions, using, mainly, Monte Carlo techniques. In particular, for the total interfacial…

Statistical Mechanics · Physics 2015-08-10 N. G. Fytas , A. Malakis , W. Selke , L. N. Shchur

We present a high precision Monte Carlo study of various universal amplitude ratios of the three dimensional Ising spin model. Using state of the art simulation techniques we studied the model close to criticality in both phases. Great care…

High Energy Physics - Lattice · Physics 2009-10-30 M. Caselle , M. Hasenbusch

We study the relativistic O(N) field theory near the quantum critical point in 2+1 dimensions for N=2 and N=3. The scalar susceptibility is evaluated by Monte Carlo simulation. We show that the spectrum contains a peak associated with the…

Quantum Gases · Physics 2013-12-12 Snir Gazit , Daniel Podolsky , Assa Auerbach

The universal behaviour of the short-time dynamics of the three state Potts model in two dimensions at criticality is investigated with Monte Carlo methods. The initial increase of the order is observed. The new dynamic exponent $\theta$ as…

Condensed Matter · Physics 2009-10-28 L. Schuelke , B. Zheng

The three-state Potts field theory in two dimensions with thermal and magnetic perturbations provides the simplest model of confinement allowing for both mesons and baryons, as well as for an extended phase with deconfined quarks. We study…

High Energy Physics - Theory · Physics 2009-11-18 Luca Lepori , Gabor Zsolt Toth , Gesualdo Delfino

We study the interfacial adsorption phenomena of the three-state ferromagnetic Potts model on the simple cubic lattice by the Monte Carlo method. Finite-size scaling analyses of the net-adsorption yield the evidence of the phase transition…

Condensed Matter · Physics 2009-10-22 Atsushi Yamagata

High-temperature expansions are presently the only viable approach to the numerical calculation of the higher susceptibilities for the spin and the scalar-field models on high-dimensional lattices. The critical amplitudes of these…

High Energy Physics - Lattice · Physics 2015-06-03 Paolo Butera , Mario Pernici

We study the critical behavior of the short-range p-state Potts spin glass in three and four dimensions using Monte Carlo simulations. In three dimensions, for p = 3, a finite-size scaling analysis of the correlation length shows clear…

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

We analyze the critical behaviour of the three-dimensional, three-state Potts model in the presence of an external ordering field. From a finite size scaling analysis on lattices of size up to 70**3 we determine the critical endpoint of the…

High Energy Physics - Lattice · Physics 2009-10-31 Frithjof Karsch , Sven Stickan

One of the most active areas of physics in the last decades has been that of critical phenomena, and Monte Carlo simulations have played an important role as a guide for the validation and prediction of system properties close to the…

Biological Physics · Physics 2007-05-23 Maria del Pilar Monsivais-Alonso

Using Monte Carlo simulations in the frame of stochastic series expansion (SSE), we study the three-state quantum Potts model. The cluster algorithm we used is a direct generalization of that for the quantum Ising model. The simulations…

Statistical Mechanics · Physics 2017-02-10 Chengxiang Ding , Yangcheng Wang , Youjin Deng , Hui Shao

On simple cubic lattices, we compute low temperature series expansions for the energy, magnetization and susceptibility of the three-state Potts model in D=2 and D=3 to 45 and 39 excited bonds respectively, and the eight-state Potts model…

High Energy Physics - Lattice · Physics 2009-10-22 G. Bhanot , M. Creutz , U. Glassner , I. Horvath , J. Lacki , K. Schilling , J. Weckel

We consider random q-state Potts models for $3\le q \le 8$ on the square lattice where the ferromagnetic couplings take two values $J_1>J_2$ with equal probabilities. For any q the model exhibits a continuous phase transition both in the…

Statistical Mechanics · Physics 2015-06-25 Gábor Palágyi , Christophe Chatelain , Bertrand Berche , Ferenc Iglói

We compute a number of universal amplitude ratios in the three-dimensional Ising universality class. To this end, we perform Monte Carlo simulations of the improved Blume-Capel model on the simple cubic lattice. For example, we obtain…

Statistical Mechanics · Physics 2013-05-29 Martin Hasenbusch

We address the problem of determining the critical equation of state of three-dimensional XY systems. For this purpose we first consider the small-field expansion of the effective potential (Helmholtz free energy) in the high-temperature…

Statistical Mechanics · Physics 2011-07-19 Massimo Campostrini , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

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

We study the sign distribution of generalized magnetic susceptibilities in the temperature-external magnetic field plane using the three-dimensional three-state Potts model. We find that the sign of odd-order susceptibility is opposite in…

Statistical Mechanics · Physics 2018-01-12 Xue Pan , Yanhua Zhang , Lizhu Chen , Mingmei Xu , Yuanfang Wu

The interfacial adsorption W at the first-order transition in two-dimensional q-state Potts models is studied. In particular, findings of Monte Carlo simulations and of density-matrix renormalization group calculations, at q= 16, are…

Condensed Matter · Physics 2011-01-12 E. Carlon , F. Igloi , W. Selke , F. Szalma