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Systems with continuous symmetry of the vector order parameter containing defects of the "random local field" or "random local anisotropy" types are investigated. It is shown that the disordered Imry-Ma phase, in which the order parameter…

Disordered Systems and Neural Networks · Physics 2020-06-09 A. A. Berzin , A. I. Morosov , A. S. Sigov

The dynamics of a random (quenched) field Ising model (in two dimension) at zero temperature in the presence of an additional sinusoidally oscillating homogeneous (in space) magnetic field has been studied by Monte Carlo simulation using…

Condensed Matter · Physics 2015-06-25 Muktish Acharyya

The effect of quenched impurities on systems which undergo first-order phase transitions is studied within the framework of the q-state Potts model. For large q a mapping to the random field Ising model is introduced which provides a simple…

Statistical Mechanics · Physics 2009-10-30 John Cardy , Jesper Lykke Jacobsen

We have defined pinning fields as those random fields that keep some of the magnetic moments unreversed in the region of negative external applied field during the demagnetizing process. An analysis of the statistical properties of such…

Disordered Systems and Neural Networks · Physics 2009-11-11 Xavier Illa , Eduard Vives

Via Monte Carlo simulations we study pattern and aging during coarsening in nonconserved nearest neighbor Ising model, following quenches from infinite to zero temperature, in space dimension $d=3$. The decay of the order-parameter…

Statistical Mechanics · Physics 2018-01-17 Saikat Chakraborty , Subir K. Das

In systems belonging to the universality class of the random field Ising model, the standard hyperscaling relation between critical exponents does not hold, but is replaced by a modified hyperscaling relation. As a result, standard…

Statistical Mechanics · Physics 2010-12-01 R. L. C. Vink , T. Fischer , K. Binder

Until very recently, the asymptotic occurrence of intrinsic anomalous scaling has been expected to require concomitant effects for kinetically rough interfaces, like quenched disorder or morphological instabilities. However, counterexamples…

Statistical Mechanics · Physics 2024-05-15 E. Rodriguez-Fernandez , S. N. Santalla , M. Castro , R. Cuerno

The phase behavior of a large but finite Ising ferromagnet in the presence of competing surface magnetic fields +/- H_s is studied by Monte Carlo simulations and by phenomenological theory. Specifically, the geometry of a double pyramid of…

Statistical Mechanics · Physics 2009-11-11 A. Milchev , M. Mueller , K. Binder

In this paper we discuss the criticality of a quantum Ising spin chain with competing random ferromagnetic and antiferromagnetic couplings. Quantum fluctuations are introduced via random local transverse fields. First we consider the chain…

Disordered Systems and Neural Networks · Physics 2009-11-11 David Carpentier , Pierre Pujol , Kay-Uwe Giering

We study numerically the region above the critical temperature of the four dimensional Random Field Ising Model. Using a cluster dynamic we measure the connected and disconnected magnetic susceptibility and the connected and disconnected…

Disordered Systems and Neural Networks · Physics 2009-10-30 Roberto Sacconi

This paper presents new findings concerning the dynamics of the slow height variations in surfaces produced by the two-dimensional isotropic Kuramoto-Sivashinsky equation with an additional nonlinear term. In addition to the disordered…

Pattern Formation and Solitons · Physics 2016-09-30 Vaidas Juknevicius , Julius Ruseckas , Jogundas Armaitis

We extend a recent work by Mussardo and Penati on integrable quantum field theories with a single stable particle and an infinite number of unstable resonance states, including the presence of a boundary. The corresponding scattering and…

High Energy Physics - Theory · Physics 2009-11-07 P. Mosconi , G. Mussardo , V. Riva

In this paper, we study the evolution of the zero-temperature random field Ising model as the mean of the external field $M$ increases from $-\infty$ to $\infty$. We focus on two types of evolutions: the ground state evolution and the…

Probability · Mathematics 2025-12-03 Jian Ding , Peng Yang , Zijie Zhuang

We apply a real-space block renormalization group approach to study the critical properties of the random transverse-field Ising spin chain with multispin interactions. First we recover the known properties of the traditional model with…

Disordered Systems and Neural Networks · Physics 2025-03-25 Ferenc Iglói , Yu-Cheng Lin

We consider the $d$-dimensional transverse-field Ising model with power-law interactions $J/r^{d+\sigma}$ in the presence of a noisy longitudinal field with zero average. We study the longitudinal-magnetization dynamics of an initial…

Strongly Correlated Electrons · Physics 2018-07-12 Jad C. Halimeh , Matthias Punk , Francesco Piazza

We present the general theory of Ising transitions in isotropic elastic media with vanishing thermal expansion. By constructing a minimal model with appropriate spin-lattice couplings, we show that in two dimensions near a continuous…

Statistical Mechanics · Physics 2023-01-03 Sudip Mukherjee , Abhik Basu

With large-scale Monte Carlo simulations, we investigate the nonsteady relaxation at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model. The dynamic scaling behavior is carefully analyzed, and the…

Statistical Mechanics · Physics 2023-06-21 Xiaohui Qian , Gaotian Yu , Nengji Zhou

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

An inhomogeneous random recursive lattice was constructed from the multi-branched Husimi square lattice. The number of repeating units connected on one vertex was randomly set to be 2 or 3 with a quenched ratio $P_2$ or $P_3$ with…

Statistical Mechanics · Physics 2016-09-21 Ran Huang

While Efimov physics in ultracold atoms is usually modeled with an isolated Feshbach resonance many real world resonances appear in close vicinity to each other and are therefore overlapping. Here we derive a realistic model based on the…

Quantum Gases · Physics 2021-06-16 Yaakov Yudkin , Lev Khaykovich