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A new method for locating analytically critical temperatures is discussed. It is exact for selfdual systems. When applied the two coupled layers of Ising spins it deviates from our preliminary Monte Carlo estimates by 1.5 standard…

High Energy Physics - Lattice · Physics 2009-10-22 Z. Burda , J. Wosiek

We calculate the temperature dependent long-range magnetic coupling in the presence of dilute concentrations of random magnetic impurities in chiral multilayer two-dimensional semimetals, i.e., undoped intrinsic multilayer graphene.…

Mesoscale and Nanoscale Physics · Physics 2017-04-17 Hongki Min , E. H. Hwang , S. Das Sarma

We study the critical behavior of the Ising model in three dimensions on a lattice with site disorder by using Monte Carlo simulations. The disorder is either uncorrelated or long-range correlated with correlation function that decays…

Statistical Mechanics · Physics 2020-11-25 Stanislav Kazmin , Wolfhard Janke

We study the three-dimensional Ising model at the critical point in the fixed-magnetization ensemble, by means of the recently developed geometric cluster Monte Carlo algorithm. We define a magnetic-field-like quantity in terms of…

Statistical Mechanics · Physics 2009-10-31 H. W. J. Blöte , J. R. Heringa , M. M. Tsypin

The model of p Ising spins coupled to 2d gravity, in the form of a sum over planar phi-cubed graphs, is studied and in particular the two-point and spin-spin correlation functions are considered. We first solve a toy model in which only a…

High Energy Physics - Theory · Physics 2009-10-30 M. G. Harris , J. Ambjorn

We use a hybrid Monte Carlo algorithm in which a single-cluster update is combined with the over-relaxation and Metropolis spin re-orientation algorithm. Periodic boundary conditions were applied in all directions. We have calculated the…

Statistical Mechanics · Physics 2009-10-31 K. Nho , E. Manousakis

The current understanding of aging phenomena is mainly confined to the study of systems with short-ranged interactions. Little is known about the aging of long-ranged systems. Here, the aging in the phase-ordering kinetics of the…

Statistical Mechanics · Physics 2020-11-04 Henrik Christiansen , Suman Majumder , Malte Henkel , Wolfhard Janke

Monte Carlo simulations of the magnetization temperature dependence in $D\times L$ nanotubes (periodic lateral boundary conditions) and nanostrips (free lateral boundary conditions) with $D$=8, 16, 32, 64$\ll L\longrightarrow 5000$ have…

Statistical Mechanics · Physics 2007-05-23 Carlos Garcia , M. Felisa Martinez , Julio A. Gonzalo

We consider the critical behavior of two-dimensional Potts models in presence of a bond disorder in which the correlation decays as a power law. In some recent work the thermal sector of this theory was investigated by a renormalization…

Disordered Systems and Neural Networks · Physics 2024-07-19 Ivan Lecce , Marco Picco , Raoul Santachiara

The kinetics of domain growth and aging in conserved order parameter systems, in the presence of short-range interaction, is widely studied. Due to technical difficulties and lack of resources, regarding computation, the dynamics is still…

Statistical Mechanics · Physics 2023-04-12 Soumik Ghosh , Subir K. Das

The exchange and correlation $E_{xc}$ of strongly correlated electrons in 2D layers of finite width are studied as a function of the density parameter $r_s$, spin-polarization $\zeta$ and the temperature $T$. We explicitly treat…

Strongly Correlated Electrons · Physics 2009-11-11 M. W. C. Dharma-wardana

The ternary intermetallic compound Gd$_2$Cu$_2$In crystallizes in Mo$_2$Fe$_2$B type structure with the space group $P4/mbm$ and we study critical behaviour and magnetocaloric effect near the ferromagnetic transition ($T_C$ $\approx$ 94 K)…

Strongly Correlated Electrons · Physics 2017-11-28 Ramesh K. Kumar , Harikrishnan S. Nair , Baidyanath N. Sahu , Sindisiwe Xhakaza , Andre M. Strydom

The fourth-order cumulant of the magnetization, the Binder cumulant, is determined at the phase transition of Ising models on square and triangular lattices, using Monte Carlo techniques. Its value at criticality depends sensitively on…

Statistical Mechanics · Physics 2007-05-23 W. Selke

We introduce a universal combination of susceptibility and correlation length in the 3D Ising model, depending both on temperature and external magnetic field. Starting from a parametric representation of the equation of state, we study its…

High Energy Physics - Lattice · Physics 2021-11-29 Michele Caselle , Marianna Sorba

We apply a new updating algorithm scheme to investigate the critical behavior of the two-dimensional ferromagnetic Ising model on a triangular lattice with nearest neighbour interactions. The transition is examined by generating accurate…

Statistical Mechanics · Physics 2015-05-13 Zhi-Huan Luo , Mushtaq Loan , Yan Liu , Jian-Rong Lin

We consider the three-dimensional site-diluted Ising model with power-law correlated defects and study the critical behavior of the second-moment correlation length and the magnetic susceptibility in the high-temperature phase. By…

Statistical Mechanics · Physics 2023-03-06 S. Kazmin , W. Janke

We investigate the aging properties of phase-separation kinetics following quenches from $T=\infty$ to a finite temperature below $T_c$ of the paradigmatic two-dimensional conserved Ising model with power-law decaying long-range…

Statistical Mechanics · Physics 2025-12-10 Fabio Müller , Henrik Christiansen , Wolfhard Janke

A mixed spin-1/2 and spin-3/2 Ising model on a decorated square lattice with a nearest- neighbor interaction, next-nearest-neighbor bilinear interaction, three-site four-spin in- teraction and single-ion anisotropy is exactly investigated…

Statistical Mechanics · Physics 2017-08-23 Viliam Štubňa , Michal Jaščur

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

From a consideration of high temperature series expansions in ferromagnets and in spin glasses, we propose an extended scaling scaling scheme involving a set of scaling formulae which express to leading order the temperature (T) and the…

Statistical Mechanics · Physics 2007-05-23 I. A. Campbell , K. Hukushima , H. Takayama