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The sensitivity of the random field Ising model to small random perturbations of the quenched disorder is studied via exact ground states obtained with a maximum-flow algorithm. In one and two space dimensions we find a mild form of chaos,…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Alava , H. Rieger

Concentrated colloidal suspensions and emulsions are amorphous soft solids, widespread in technological and industrial applications and studied as model systems in physics and material sciences. They are easily fluidized by applying a…

Soft Condensed Matter · Physics 2022-12-20 Stefano Aime , Domenico Truzzolillo , David J. Pine , Laurence Ramos , Luca Cipelletti

A generalised integer S Ising spin glass model is analysed using the replica formalism. The bilinear couplings are assumed to have a Gaussian distribution with ferromagnetic mean <J_ij> = Jo. Incorporation of a quadrupolar interaction term…

Statistical Mechanics · Physics 2009-10-28 G. R. Schreiber

We analyse biased ensembles of trajectories for the random-field Ising model on a fully-connected lattice, which is described exactly by mean-field theory. By coupling the activity of the system to a dynamical biasing field, we find a range…

Statistical Mechanics · Physics 2021-10-27 Jules Guioth , Robert L. Jack

Random quenched dilution of the triangular-lattice antiferromagnetic Ising model locally relieves frustration, leading to ordering phenomena. We have studied this system, under such dilution of one sublattice, using hard-spin mean-field…

Statistical Mechanics · Physics 2009-10-31 Huseyin Kaya , A. Nihat Berker

The field induced quantum phase transitions in the disorder-free and disordered samples of the spin ladder material (CH_3)_2CHNH_3Cu(Cl_{1-x}Br_x)_3 are studied using magnetic calorimetry and magnetic neutron diffraction on single crystal…

Strongly Correlated Electrons · Physics 2018-06-06 G. S. Perren , W. E. A. Lorenz , E. Ressouche , A. Zheludev

In random percolation one finds that the mean field regime above the upper critical dimension can simply be explained through the coexistence of infinite percolating clusters at the critical point. Because of the mapping between percolation…

High Energy Physics - Lattice · Physics 2009-11-07 G. Andronico , A. Coniglio , S. Fortunato

In this work we investigate the Blume-Capel model with infinite-range ferromagnetic interactions and under the influence of a quenched disorder - a random crystal field. For a suitable choice of the random crystal field the model displays a…

Statistical Mechanics · Physics 2016-08-08 P. V. Santos , F. A. Costa , J. M. Araújo

We study the effects of dissipation on a randomly dilute transverse-field Ising magnet at and close to the percolation threshold. For weak transverse fields, a novel percolation quantum phase transition separates a super-paramagnetic…

Disordered Systems and Neural Networks · Physics 2008-03-04 J. A. Hoyos , Thomas Vojta

We perform large-scale Monte Carlo simulations using the Machta-Newman-Chayes algorithms to study the critical behavior of both the diluted antiferromagnet in a field with 30% dilution and the random-field Ising model with Gaussian random…

Disordered Systems and Neural Networks · Physics 2013-11-14 Bjoern Ahrens , Jianping Xiao , Alexander K. Hartmann , Helmut G. Katzgraber

Pretransitional phenomena at first-order phase transition in crystals diluted by 'neutral' impurities (analogue of nonmagnetic atoms in dilute magnets) are considered. It is shown that field dependence of order parameter becomes…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. N. Timonin

Machine learning for phase transition has received intensive research interest in recent years. However, its application in percolation still remains challenging. We propose an auxiliary Ising mapping method for machine learning study of…

Statistical Mechanics · Physics 2022-03-08 Junyin Zhang , Bo Zhang , Junyi Xu , Wanzhou Zhang , Youjin Deng

We study the phase transitions of a restricted solid-on-solid model coupled to an Ising model, which can be derived from the coupled XY-Ising model. There are two kinds of phase transition lines. One is a Ising transition line and the other…

Statistical Mechanics · Physics 2016-08-31 Sooyeul Lee , Koo-Chul Lee , J. M. Kosterlitz

Baryon fluctuations exceeding Poisson expectations can signal a nearly first order phase transition at RHIC. We show how these fluctuations can be measured, and apply a dissipative-hydrodynamic formulation used in condensed matter physics…

Nuclear Theory · Physics 2009-11-07 David Bower , Sean Gavin

We map the mean-field Ising model equation of state onto the QCD phase diagram, and reconstruct the full coexistence region in the case of a first order phase transition. Beyond the coexistence line, we maintain access to the spinodal…

Nuclear Theory · Physics 2024-09-24 Jamie M. Karthein , Volker Koch , Claudia Ratti

We study a stacked triangular lattice Ising model with both intra- and inter-plane antiferromagnetic interactions in a field, by Monte Carlo simulation. We find only one phase transition from a paramagnetic to a partially disordered phase,…

Statistical Mechanics · Physics 2018-05-07 M. Žukovič , M. Borovský , A. Bobák

The phase diagram and the thermodynamics of the random field Ising model (RFIM) defined on a family of diamond hierarchical lattices of arbitrary dimension and scaling factor $b=2$ is investigated. The phase diagram is studied considering…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexandre Rosas , Sérgio Coutinho

We study a zero-temperature phase transition in the random field Ising model on scale-free networks with the degree exponent $\gamma$. Using an analytic mean-field theory, we find that the spins are always in the ordered phase for…

Statistical Mechanics · Physics 2007-05-23 Sang Hoon Lee , Hawoong Jeong , Jae Dong Noh

The effects of locally random magnetic fields are considered in a nonequilibrium Ising model defined on a square lattice with nearest-neighbors interactions. In order to generate the random magnetic fields, we have considered random…

Statistical Mechanics · Physics 2009-11-13 N. Crokidakis

This study provides a comprehensive analysis of the ground state and thermodynamic properties of a spin-pseudospin chain representing a model of a one-dimensional dilute magnet with two types of nonmagnetic charged impurities. For this…

Statistical Mechanics · Physics 2024-11-19 Darya Yasinskaya , Yury Panov