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In this work we performed numerical simulations for the Ising model on three dimensional lattices with coordination number equal 5. With Monte Carlo simulations in the static case we evaluated the critical temperature and the static…

Statistical Mechanics · Physics 2024-06-28 Lourdes Bibiana Merino-Solís , Francisco Sastre

We study a p-spin spin-glass model to understand if the finite-temperature glass transition found in the mean-field regime of p-spin models, and used to model the behavior of structural glasses, persists in the non-mean-field regime. By…

Disordered Systems and Neural Networks · Physics 2010-02-18 Derek Larson , Helmut G. Katzgraber , M. A. Moore , A. P. Young

It is shown, by means of Monte Carlo simulation and Finite Size Scaling analysis, that the Heisenberg spin glass undergoes a finite-temperature phase transition in three dimensions. There is a single critical temperature, at which both a…

Disordered Systems and Neural Networks · Physics 2009-11-11 I. Campos , M. Cotallo-Aban , V. Martin-Mayor , S. Perez-Gaviro , A. Tarancon

By using the holographic approach, we investigate the interplay between the order parameter and Goldstone modes in the real-time dynamics of the chiral phase transition. By quenching the system to a different thermal bath and obtaining…

High Energy Physics - Phenomenology · Physics 2025-07-04 Pei Zheng , Yidian Chen , Danning Li , Mei Huang , Yuxin Liu

Using Monte Carlo simulations, we have studied aging phenomena in three-dimensional Gaussian Ising spin-glass model focusing on quasi-equilibrium behavior of the spin auto-correlation functions. Weak violation of the time translational…

Disordered Systems and Neural Networks · Physics 2015-06-25 H. Takayama , H. Yoshino , T. Komori

The real part of the time-dependent ac susceptibility of the short-range Ising spin glass in a transverse field has been investigated at very low temperatures. We have used the quantum linear response theory and domain coarsening ideas of…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. Busiello , R. V. Saburova , V. G. Sushkova

The aging in a Heisenberg-like spin glass Ag(11 at% Mn) is investigated by measurements of the zero field cooled magnetic relaxation at a constant temperature after small temperature shifts $|\Delta T/T_g| < 0.012$. A crossover from fully…

Disordered Systems and Neural Networks · Physics 2009-11-07 P. E. Jönsson , H. Yoshino , P. Nordblad

Continuous phase transitions are catalogued into universality classes, families of systems having identical values of all the exponents governing the critical behaviour of their different physical properties. Numerical simulations have been…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. O. Mari , I. A. Campbell

Equilibrium numerical data on the three dimensional bimodal interaction Ising spin glass up to size L=48 show that corrections to scaling, which are known to be strong, behave in a non-monotonic manner with size. Extrapolation to the…

Statistical Mechanics · Physics 2009-03-31 K. Hukushima , I. A. Campbell

Recently Y. N. showed that the nonequilibrium critical relaxation of the 2D Ising model from the perfectly-ordered state in the Wolff algorithm is described by the stretched-exponential decay, and found a universal scaling scheme to connect…

Statistical Mechanics · Physics 2016-01-06 Yoshihiko Nonomura , Yusuke Tomita

We consider quantum-dynamical phenomena in the $\mathrm{SU}(2)$, $S=1/2$ infinite-range quantum Heisenberg spin glass. For a fermionic generalization of the model we formulate generic dynamical self-consistency equations. Using the…

Statistical Mechanics · Physics 2009-11-10 M. Bechmann , R. Oppermann

We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the…

Statistical Mechanics · Physics 2018-11-21 Yusuke Tomita , Yoshihiko Nonomura

The isothermal remanent magnetization is used to investigate dynamical magnetic properties of spatially three dimensional spin glasses with different spin dimensionality (Ising, XY, Heisenberg). The isothermal remanent magnetization is…

Disordered Systems and Neural Networks · Physics 2016-06-29 R. Mathieu , M. Hudl , P. Nordblad , Y. Tokunaga , Y. Kaneko , Y. Tokura , H. Aruga Katori , A. Ito

We investigate phase transitions in the nonequilibrium dynamics of power-law interacting spin-1/2 bilayer XXZ models, which have recently been shown to allow generation of entanglement in the form of two-mode squeezing. We find a transition…

Quantum Physics · Physics 2025-12-11 Arman Duha , S. E. Begg , Thomas Bilitewski

The scaling functions of single-time and two-time correlators in systems undergoing non-equilibrium critical dynamics with dynamical exponent ${z}=2$ are predicted from a new time-dependent non-equilibrium representation of the…

Statistical Mechanics · Physics 2026-05-21 Malte Henkel , Stoimen Stoimenov

The glass transition refers to the non-equilibrium process by which an equilibrium liquid is transformed to a non-equilibrium disordered solid, or vice versa. Associated response functions, such as heat capacities, are markedly different on…

Soft Condensed Matter · Physics 2013-03-26 Aaron S. Keys , Juan P. Garrahan , David Chandler

Non-equilibrium dynamics of classical random Ising spin chains are studied using asymptotically exact real space renormalization group. Specifically the random field Ising model with and without an applied field (and the Ising spin glass…

Condensed Matter · Physics 2009-10-31 Daniel S. Fisher , Pierre Le Doussal , Cecile Monthus

We study purely dissipative relaxational dynamics in the three-dimensional Ising universality class. To this end, we simulate the improved Blume-Capel model on the simple cubic lattice by using local algorithms. We perform a finite size…

Statistical Mechanics · Physics 2020-02-28 Martin Hasenbusch

The stability of a discrete time crystal against thermal fluctuations has been studied numerically by solving a stochastic Landau-Lifshitz-Gilbert equation of a periodically-driven classical system composed of interacting spins, each of…

Statistical Mechanics · Physics 2022-03-24 Mingxi Yue , Xiaoqin Yang , Zi Cai

Dilute dipolar Ising magnets remain a notoriously hard problem to tackle both analytically and numerically because of long-ranged interactions between spins as well as rare region effects. We study a new type of anisotropic dilute dipolar…

Disordered Systems and Neural Networks · Physics 2019-08-28 Tushar Kanti Bose , Roderich Moessner , Arnab Sen