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Predicting the future behaviour of complex systems exhibiting critical-like dynamics is often considered to be an intrinsically hard task. Here, we study the predictability of the depinning dynamics of elastic interfaces in random media…

统计力学 · 物理学 2026-02-03 Valtteri Haavisto , Marcin Mińkowski , Lasse Laurson

We have investigated scaling properties near the quantum critical point between the extended phase and the critical phase in the Aubry-Andr\'{e}-Harper model with p-wave pairing, which have rarely been exploited as most investigations focus…

无序系统与神经网络 · 物理学 2022-10-19 Ting Lv , Yu-Bin Liu , Tian-Cheng Yi , Liangsheng Li , Maoxin Liu , Wen-Long You

Azimuthal anisotropy scaling functions are constructed from species-resolved anisotropy measurements in Pb+Pb ($\sqrt{s_{NN}}=2.76$, $5.02$ TeV) and Au+Au ($\sqrt{s_{NN}}=7.7$-$200$~GeV) collisions to probe baryon transport and medium…

核实验 · 物理学 2026-03-31 Roy A. Lacey

We consider a model of a quenched disordered geometry in which a random metric is defined on ${\mathbb R}^2$, which is flat on average and presents short-range correlations. We focus on the statistical properties of balls and geodesics,…

统计力学 · 物理学 2015-06-09 Silvia N. Santalla , Javier Rodriguez-Laguna , Tom LaGatta , Rodolfo Cuerno

Detailed measurements of the azimuthal anisotropy (\v2) for identified charged particles are reported as a function of transverse momentum ($p_T$) and centrality for Au+Au collisions at \sqrtsNN = 200 GeV. The measurements indicate clear…

核实验 · 物理学 2009-11-11 Arkadij Taranenko

The dynamics of a driven interface in a medium with random pinning forces is analyzed. The interface undergoes a depinning transition where the order parameter is the interface velocity $v$, which increases as $v \sim (F-F_c)^\theta$ for…

凝聚态物理 · 物理学 2009-10-28 Heiko Leschhorn , Thomas Nattermann , Semjon Stepanow , Lei-Han Tang

We study the roughening of $d$-dimensional directed elastic interfaces subject to quenched random forces. As in the Larkin model, random forces are considered constant in the displacement direction and uncorrelated in the perpendicular…

无序系统与神经网络 · 物理学 2019-03-07 V. H. Purrello , J. L. Iguain , A. B. Kolton

We investigate the quantum phase transition in the anisotropic Dicke model through an examination of the quantum geometric tensor of the ground state. In this analysis, two distinct classical limits exhibit their unique anisotropic…

量子物理 · 物理学 2024-06-11 Xin Zhu , Jia-Hao Lü , Wen Ning , Li-Tuo Shen , Fan Wu , Zhen-Biao Yang

For the fully anisotropic simple-cubic Ising lattice, the critical finite-size scaling amplitudes of both the spin-spin and energy-energy inverse correlation lengths and the singular part of the reduced free-energy density are calculated by…

凝聚态物理 · 物理学 2009-10-22 M. A. Yurishchev

The dynamic behavior of the interfaces in the standard and random driven lattice gas models (DLG and RDLG respectively) is investigated via numerical Monte Carlo simulations in two dimensions. For $T\lesssim T_c$, the average interface…

统计力学 · 物理学 2008-10-24 Gustavo P. Saracco , Ezequiel V. Albano

We obtain a complete description of anisotropic scaling limits and the existence of scaling transition for nonlinear functions (Appell polynomials) of stationary linear random fields on $\mathbb{Z}^2$ with moving average coefficients…

概率论 · 数学 2017-10-30 Vytautė Pilipauskaitė , Donatas Surgailis

We consider a semiflexible polymer in $\mathbb Z^d$ which is a random interface model with a mixed gradient and Laplacian interaction. The strength of the two operators is governed by two parameters called lateral tension and bending…

概率论 · 数学 2020-06-24 Alessandra Cipriani , Biltu Dan , Rajat Subhra Hazra

In this paper, we perform a detailed study of the scaling properties of a ferromagnetic thin film model. Recently, interest has increased in the scaling properties of the magnetic domain wall (MDW) motion in disordered media when an…

无序系统与神经网络 · 物理学 2015-10-20 Marcos F. Torres , Rubén C. Buceta

The use of discrete material representation in numerical models is advantageous due to the straightforward way it takes into account material heterogeneity and randomness, and the discrete and orientated nature of cracks. Unfortunately, it…

计算工程、金融与科学 · 计算机科学 2023-06-29 Jan Eliáš

Using large-scale quantum Monte Carlo simulations, we determine the ground state phase diagram of the spin-1/2 antiferromagnetic Heisenberg model on the honeycomb lattice for the most generic case of three varying interaction strengths…

强关联电子 · 物理学 2023-12-19 Alexander Sushchyev , Stefan Wessel

Solid contacts involving soft materials are important in mechanical engineering or biomechanics. Experimentally, such contacts have been shown to shrink significantly under shear, an effect which is usually explained using adhesion models.…

软凝聚态物质 · 物理学 2020-07-07 J. Lengiewicz , M. de Souza , M. Lahmar , C. Courbon , D. Dalmas , S. Stupkiewicz , J. Scheibert

The density crossover scaling of various thermodynamic properties of solutions and melts of self-avoiding and highly flexible polymer chains without chain intersections confined to strictly two dimensions is investigated by means of…

软凝聚态物质 · 物理学 2012-09-03 N. Schulmann , H. Meyer , P. Polińska , J. Baschnagel , J. P. Wittmer

We identify the restricted class of attainable effective deformations in a model of reinforced composites with parallel, long, and fully rigid fibers embedded in an elastic body. In mathematical terms, we characterize the weak limits of…

偏微分方程分析 · 数学 2021-05-11 Dominik Engl , Carolin Kreisbeck , Antonella Ritorto

Finite size scaling for a first order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "degeneracy" factor included. Predictions are…

计算物理 · 物理学 2019-03-27 Jiahao Xu , Shan-Ho Tsai , D. P. Landau , K. Binder

The interactions between linear elastic waves and a nonlinear crack with finite compressibility are studied in the one-dimensional context. Numerical studies on a hyperbolic model of contact with sinusoidal forcing have shown that the mean…

经典物理 · 物理学 2009-07-22 Stéphane Junca , Bruno Lombard