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Related papers: Super-Aging in two-dimensional random ferromagnets

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Non-equilibrium aging dynamics in 3D Ising spin glass Cu$_{0.5}$Co$_{0.5}$Cl$_{2}$-FeCl$_{3}$ GBIC has been studied by zero-field cooled (ZFC) magnetization and low frequency AC magnetic susceptibility ($f = 0.05$ Hz), where $T_{g} = 3.92…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Suzuki , I. S. Suzuki

We rigorously analyze the low temperature non-equilibrium dynamics of the East model, a special example of a one dimensional oriented kinetically constrained particle model, when the initial distribution is different from the reversible one…

Mathematical Physics · Physics 2015-05-20 A. Faggionato , F. Martinelli , C. Roberto , C. Toninelli

In this study, we examine how the thermomagnetic characteristics of spin-1/2 Ising trilayer ferrimagnets made of coupled square monolayers with ABA and AAB stacking sequences are affected by controlled site dilution. The system is composed…

Statistical Mechanics · Physics 2026-05-29 Soham Chandra

The truncated two-point function of the nearest-neighbor ferromagnetic Ising model on $\mathbb Z^d$ ($d\ge3$) in its pure phases is proven to decays exponentially fast throughout the ordered regime ($T<T_c$). Together with known results,…

Mathematical Physics · Physics 2018-08-02 Michael Aizenman , Hugo Duminil-Copin

We study dynamic fluctuations in non-disordered finite dimensional ferromagnetic systems quenched to the critical point and the low-temperature phase. We investigate the fluctuations of two two-time quantities, called $\chi$ and $C$, the…

Statistical Mechanics · Physics 2015-05-13 Federico Corberi , Leticia Cugliandolo

We study crystal melting in two-dimensional antiferromagnets, by analyzing the statistical mechanics of the six-state clock model on a lattice in which defects (dislocations and disclinations) are allowed to appear. We show that the…

Statistical Mechanics · Physics 2018-01-26 Itamar Shamai , Daniel Podolsky

In the framework of recently introduced frustrated lattice gas models, we study the out of equilibrium dynamical processes during the compaction process in granular media. We find irreversible-reversible cycles in agreement with recent…

Condensed Matter · Physics 2009-10-31 Mario Nicodemi , Antonio Coniglio

The momentum or velocity autocorrelation function C(t) for a tagged oscillator in a finite harmonic system decays like that of an infinite system for short times, but exhibits erratic behavior at longer time scales. We introduce the…

Statistical Mechanics · Physics 2015-12-22 Dan Plyukhin , Alex V. Plyukhin

Using Monte Carlo techniques and a star-triangle transformation, Ising models with random, 'strong' and 'weak', nearest-neighbour ferromagnetic couplings on a square lattice with a (1,1) surface are studied near the phase transition. Both…

Statistical Mechanics · Physics 2009-10-30 F. Igloi , P. Lajko , W. Selke , F. Szalma

We perform a Monte Carlo Renormalization Group analysis of the critical behavior of the ferromagnetic Ising model on a Sierpi\'nski fractal with Hausdorff dimension $d_f\simeq 1.8928$. This method is shown to be relevant to the calculation…

Statistical Mechanics · Physics 2009-11-10 Pai-Yi Hsiao , Pascal Monceau

Extended dynamical simulations have been performed on a 2+1 dimensional driven dimer lattice gas model to estimate ageing properties. The auto-correlation and the auto-response functions are determined and the corresponding scaling…

Statistical Mechanics · Physics 2014-04-23 Géza Ódor , Jeffrey Kelling , Sibylle Gemming

By means of Metropolis Monte Carlo simulations of a coarse-grained model for flexible polymers, we investigate how the integrated autocorrelation times of different energetic and structural quantities depend on the temperature. We show…

Computational Physics · Physics 2014-08-19 Kai Qi , Michael Bachmann

The existence of spontaneous magnetization of Ising spins on directed Barabasi-Albert networks is investigated with seven neighbors, by using Monte Carlo simulations. In large systems we see the magnetization for different temperatures T to…

Disordered Systems and Neural Networks · Physics 2009-11-10 Muneer A. Sumour , M. M. Shabat

We consider the ferromagnetic Ising model with Glauber spin flip dynamics in one dimension. The external magnetic field vanishes and the couplings are i.i.d. random variables. If their distribution has compact support, the disorder averaged…

Mathematical Physics · Physics 2007-05-23 H. Spohn , E. Zhizhina

Multitime correlation functions provide useful probes for the ensembles of trajectories underlying the stochastic dynamics of complex systems. These can be obtained by measuring their optical response to sequences of ultrashort optical…

Soft Condensed Matter · Physics 2009-11-13 Frantisek Sanda , Shaul Mukamel

The truncated two-point function of the ferromagnetic Ising model on $\mathbb Z^d$ ($d\ge3$) in its pure phases is proven to decay exponentially fast throughout the ordered regime ($\beta>\beta_c$ and $h=0$). Together with the previously…

Probability · Mathematics 2024-06-26 Hugo Duminil-Copin , Subhajit Goswami , Aran Raoufi

Via Monte Carlo simulations we study nonequilibrium dynamics in the nearest-neighbor Ising model, following quenches to points inside the ordered region of the phase diagram. With the broad objective of quantifying the nonequilibrium…

Statistical Mechanics · Physics 2020-06-24 Koyel Das , Nalina Vadakkayil , Subir K. Das

The Ising antiferromagnet on a face-centered cubic (fcc) lattice with nearest-neighbor interaction only is well known to exhibit a macroscopic (exponential in the system size $L$) ground-state degeneracy. With increasing temperature, this…

Statistical Mechanics · Physics 2018-12-05 Ronja Stübel , Wolfhard Janke

We study numerically the paramagnetic phase of the spin-1/2 random transverse-field Ising chain, using a mapping to non-interacting fermions. We extend our earlier work, Phys. Rev. 53, 8486 (1996), to finite temperatures and to dynamical…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. P. Young

We have studied the equilibrium and nonequilibrium behaviours of the Ising ferromagnetic thick cubic shell by Monte Carlo simulation. Our goal is to find the dependence of the responses on the thickness of the shell. In the equilibrium…

Statistical Mechanics · Physics 2025-12-04 Ishita Tikader , Muktish Acharyya