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The antiferromagnetic Ising model in small-world networks generated from two-dimensional regular lattices has been studied. The disorder introduced by long-range connections causes frustration, which gives rise to a spin-glass phase at low…

Disordered Systems and Neural Networks · Physics 2009-11-13 Carlos P. Herrero

We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give…

High Energy Physics - Theory · Physics 2008-11-26 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

The one-dimensional Ising model in an external magnetic field with uniform long-range interactions and random short-range interactions satisfying bimodal annealed distributions is studied. This generalizes the random model discussed by…

Statistical Mechanics · Physics 2009-10-31 A. P. Vieira , L. L. Goncalves

Phase transitions in the three-dimensional diluted Ising antiferromagnet in an applied magnetic field are analyzed numerically. It is found that random magnetic field in a system with spin concentration below a certain threshold induces a…

Other Condensed Matter · Physics 2009-11-11 V. V. Prudnikov , V. N. Borodikhin

In this work we conduct a numerical search of non-trivial mechanisms, leading to new tendencies towards long-range ferromagnetic ordering in two-dimensional materials. For this purpose we employ an original variant of pairwise infinitesimal…

Materials Science · Physics 2022-01-03 I. V. Kashin , A. Gerasimov , E. V. Syrnikov

We investigate the statistics of the mean magnetisation, of its large deviations and persistent large deviations in simple coarsening systems. We consider more specifically the case of the diffusion equation, of the Ising chain at zero…

Statistical Mechanics · Physics 2009-10-30 I Dornic , C Godreche

Using a twisted nematic liquid crystal system exhibiting planar Ising model dynamics, we have measured the scaling exponent $\theta$ which characterizes the time evolution, $p(t) \sim t^{-\theta}$, of the probability p(t) that the local…

Soft Condensed Matter · Physics 2009-10-28 B. Yurke , A. N. Pargellis , S. N. Majumdar , C. Sire

Recent developments in spintronics have drawn renewed attention to the spin dynamics of cubic ferromagnetic crystals EuO and EuS. These ferromagnets have the simplest possible magnetic structure, making them the most suitable systems for…

Materials Science · Physics 2025-04-01 Igor Kolokolov , Victor S. L'vov , Anna Pomyalov

Detailed mean field and Monte Carlo studies of the dynamic magnetization-reversal transition in the Ising model in its ordered phase under a competing external magnetic field of finite duration have been presented here. Approximate…

Statistical Mechanics · Physics 2009-10-31 Arkajyoti Misra , Bikas K Chakrabarti

Quasicrystals (QCs) lack three-dimensional periodicity of atomic arrangement but possess long-range structural order, which are distinct from periodic crystals and random systems. Here, we show how the ferromagnetic (FM) order arises in the…

Strongly Correlated Electrons · Physics 2025-10-30 Shinji Watanabe , Tsunetomo Yamada , Hiroyuki Takakura , Nobuhisa Fujita

We investigate the low-temperature properties of the Ising-like screw chain antiferromagnet SrCo$_2$V$_2$O$_8$ under a longitudinal magnetic field by susceptibility and $^{51}$V NMR measurements. The bulk susceptibility $\chi$ shows an…

Strongly Correlated Electrons · Physics 2022-05-27 Yi Cui , Y. Fan , Z. Hu , Zhangzhen He , Weiqiang Yu , Rong Yu

We study the first passage time properties of an integrated Brownian curve both in homogeneous and disordered environments. In a disordered medium we relate the scaling properties of this center of mass persistence of a random walker to the…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Rieger , F. Igloi

A combination of variable-temperature neutron scattering, reverse Monte Carlo analysis and direct Monte Carlo simulation is used to characterise the emergence of magnetic order in the metal--organic framework (MOF) Tb(HCOO)$_3$ over the…

Disordered Systems and Neural Networks · Physics 2016-12-21 Daniel R. Harcombe , Philip G. Welch , Pascal Manuel , Paul J. Saines , Andrew L. Goodwin

We study domain-wall excitations in two-dimensional random-bond Ising spin systems on a square lattice with side length L, subject to two different continuous disorder distributions. In both cases an adjustable parameter allows to tune the…

Disordered Systems and Neural Networks · Physics 2009-05-06 O. Melchert , A. K. Hartmann

We study the predictability of zero-temperature Glauber dynamics in various models of disordered ferromagnets. This is analyzed using two independent dynamical realizations with the same random initialization (called twins). We derive,…

Statistical Mechanics · Physics 2019-10-10 Lily Z. Wang , Reza Gheissari , Charles M. Newman , Daniel L. Stein

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

The origin of the non commutativity of the limits $t \to \infty$ and $N \to \infty$ in the dynamics of first order transitions is investigated. In the large-N model, i.e. $N \to \infty$ taken first, the low temperature phase is…

Statistical Mechanics · Physics 2009-10-30 C. Castellano , F. Corberi , M. Zannetti

We consider long, finite-width strips of Ising spins with randomly distributed couplings. Frustration is introduced by allowing both ferro- and antiferromagnetic interactions. Free energy and spin-spin correlation functions are calculated…

Statistical Mechanics · Physics 2009-10-31 F. D. A. Aarao Reis , S. L. A. de Queiroz , Raimundo R. dos Santos

The spatial distribution of persistent spins at zero-temperature in the pure two-dimensional Ising model is investigated numerically. A persistence correlation length, $\xi (t)\sim t^Z$ is identified such that for length scales $r<<\xi (t)$…

Statistical Mechanics · Physics 2009-10-31 S. Jain , H. Flynn

We consider the phase ordering problem for the low-temperature Ising dynamics initialized from a biased and disordered initialization. Work of Fontes, Schonmann, Sidoravicius (2002) showed that at zero-temperature, Ising Glauber dynamics on…

Probability · Mathematics 2026-05-11 Reza Gheissari , Allan Sly