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Analytic predictions have been derived recently by V. Dohm and S. Wessel, Phys. Rev. Lett. {\bf 126}, 060601 (2021) from anisotropic $\varphi^4$ theory and conformal field theory for the amplitude ${\cal F}_c$ of the critical free energy of…

Statistical Mechanics · Physics 2021-06-18 Volker Dohm , Stefan Wessel , Benedikt Kalthoff , Walter Selke

As a generic example for crystals where the crystal-fluid interface tension depends on the orientation of the interface relative to the crystal lattice axes, the nearest neighbor Ising model on the simple cubic lattice is studied over a…

Computational Physics · Physics 2015-06-23 Benjamin J. Block , Suam Kim , Peter Virnau , Kurt Binder

We use improved Monte-Carlo algorithms to study the antiferromagnetic 2D-Ising model with competing interactions $J_1$ on nearest neighbour and $J_2$ on next-nearest neighbour bonds. The finite-temperature phase diagram is divided by a…

Statistical Mechanics · Physics 2009-02-17 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

We developed a new technique for measuring the thermodynamic entropy as a function of the magnetic field angle. This technique enables high-resolution angle-resolved measurements of the entropy in an unprecedentedly short measuring time.…

Strongly Correlated Electrons · Physics 2018-06-15 Shunichiro Kittaka , Shota Nakamura , Hiroaki Kadowaki , Hiroshi Takatsu , Toshiro Sakakibara

We present an efficient Monte Carlo algorithm for the simulation of the two-dimensional Random Field Ising Model (RFIM). The method combines the event-driven, rejection-free character of the Bortz Kalos-Lebowitz (BKL) algorithm with Glauber…

Statistical Mechanics · Physics 2026-03-19 Luca Cattaneo , Federico Ettori , Giovanni Cerri , Paolo Biscari , Ezio Puppin

Recently experimental techniques, such as magnetic force microscopy (MFM), have enabled the magnetic state of individual sub-micron particles to be resolved. Motivated by these experimental developments, we use Monte Carlo simulations of…

Condensed Matter · Physics 2009-10-28 Howard L. Richards , Scott W. Sides , Mark A. Novotny , Per Arne Rikvold

We study the spin-spin correlation function in or near the T=0 ground state of the antiferromagnetic Ising model on a triangular lattice. At zero temperature its modulation on the sublattices gives rise to two Bragg peaks in the structure…

Statistical Mechanics · Physics 2008-02-03 Jesper Lykke Jacobsen , Hans C. Fogedby

The Heisenberg ferromagnet (uniaxially anisotropic along z-direction), in the presence of time dependent (but uniform over space) magnetic field, is studied by Monte Carlo simulation. The time dependent magnetic field was taken as…

Statistical Mechanics · Physics 2011-05-02 Muktish Acharyya

We generalize the previous study on the application of variational autoencoders to the two-dimensional Ising model to a system with anisotropy. Due to the self-duality property of the system, the critical points can be located exactly for…

Disordered Systems and Neural Networks · Physics 2023-10-31 Anshumitra Baul , Nicholas Walker , Juana Moreno , Ka-Ming Tam

Ising Monte Carlo simulations of the random-field Ising system Fe(0.80)Zn(0.20)F2 are presented for H=10T. The specific heat critical behavior is consistent with alpha approximately 0 and the staggered magnetization with beta approximately…

Disordered Systems and Neural Networks · Physics 2009-10-31 W. C. Barber , D. P. Belanger

We study the extreme long-time behavior of the metastable phase of the three-dimensional Ising model with Glauber dynamics in an applied magnetic field and at a temperature below the critical temperature. For these simulations we use the…

Statistical Mechanics · Physics 2009-11-07 Miroslav Kolesik , M. A. Novotny , Per Arne Rikvold

We present a scalable machine learning (ML) framework for large-scale kinetic Monte Carlo (kMC) simulations of itinerant electron Ising systems. As the effective interactions between Ising spins in such itinerant magnets are mediated by…

Statistical Mechanics · Physics 2024-12-02 Alexa Tyberg , Yunhao Fan , Gia-Wei Chern

Understanding the influence of dipolar interactions in magnetic hyperthermia (MH) experiments is of crucial importance for a fine optimization of nanoparticle (NP) heating power. In this study, we use a kinetic Monte-Carlo algorithm to…

Materials Science · Physics 2015-06-22 R. P. Tan , J. Carrey , M. Respaud

The magnetic properties of the one dimensional (1D) monatomic chain of Co reported in a previous experimental work are investigated by a classical Monte Carlo simulation based on the anisotropic Heisenberg model. In our simulation, the…

Statistical Mechanics · Physics 2010-05-11 Lin He , Desheng Kong , Chinping Chen

We use a quantum Monte Carlo method to study the ground state and thermodynamic phase transitions of the spin supersolid phase in the S=1 Heisenberg model with uniaxial anisotropy. The thermal melting of the supersolid phase shows unqiue…

Strongly Correlated Electrons · Physics 2009-11-13 P. Sengupta , C. D. Batista

Motivated by the AdS/CFT correspondence, we use Monte Carlo simulation to investigate the Ising model formulated on tessellations of the two-dimensional hyperbolic disk. We focus in particular on the behavior of boundary-boundary…

High Energy Physics - Lattice · Physics 2022-10-05 Muhammad Asaduzzaman , Simon Catterall , Jay Hubisz , Roice Nelson , Judah Unmuth-Yockey

Magnetization processes of the spin-1/2 antiferromagnetic $XXZ$ model in two and three spatial dimensions are studied using quantum Monte Carlo method based on stochastic series expansions. Recently developed operator-loop algorithm enables…

Strongly Correlated Electrons · Physics 2009-11-07 Seiji Yunoki

Using a cluster-flipping Monte Carlo algorithm combined with a generalization of the histogram reweighting scheme of Ferrenberg and Swendsen, we have studied the equilibrium properties of the thermal random-field Ising model on a cubic…

Condensed Matter · Physics 2009-10-28 M. E. J. Newman , G. T. Barkema

Uniaxially (Z-axis) anisotropic Heisenberg ferromagnet, in presence of time dependent (but uniform over space) magnetic field, is studied by Monte Carlo simulation. The time dependent magnetic field was taken as elliptically polarised where…

Statistical Mechanics · Physics 2011-01-21 Muktish Acharyya

We use an auxiliary-field Monte Carlo (AFMC) method to calculate thermodynamic properties (spin susceptibility and heat capacity) of ultra-small metallic grains in the presence of pairing correlations. This method allows us to study the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Alhassid , L. Fang , S. Schmidt