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We study thermal relaxation in ordered arrays of coupled nonlinear elements with external driving. We find, that our model exhibits dynamic self-organization manifested in a universal stretched-exponential form of relaxation. We identify…

Statistical Mechanics · Physics 2009-10-31 Ibrahim Fatkullin , Konstantin Kladko , Igor Mitkov , A. R. Bishop

Understanding thermal fluctuations yields insights into a wide range of behaviors in many-body systems. In this work, we analyze the dynamical adaptation of two-dimensional crystalline lattice system under harmonic interaction in response…

Soft Condensed Matter · Physics 2026-04-07 Zhenwei Yao

A relaxation process, with the associated phenomenology of sound attenuation and sound velocity dispersion, is found in a simulated harmonic Lennard-Jones glass. We propose to identify this process with the so called microscopic (or…

Disordered Systems and Neural Networks · Physics 2009-10-31 G. Ruocco , F. Sette , R. Di Leonardo , G. Monaco , M. Sampoli , T. Scopigno , G. Viliani

A discrete--dynamics model, which is specified solely in terms of the system's equilibrium structure, is defined for the density correlators of a simple fluid. This model yields results for the evolution of glassy dynamics which are…

Disordered Systems and Neural Networks · Physics 2011-08-12 T. Franosch , W. Götze , M. R. Mayr , A. P. Singh

The relaxation dynamics of glass-forming systems shows a multitude of features that are absent in normal liquids, such as non-exponential relaxation and a strong temperature-dependence of the relaxation time. Connecting these dynamic…

Disordered Systems and Neural Networks · Physics 2019-04-03 Zhen Wei Wu , Walter Kob , Wei-Hua Wang , Limei Xu

Crystals are a state of matter characterised by periodic order. Yet crystalline materials can harbour disorder in many guises, such as non-repeating variations in composition, atom displacements, bonding arrangements, molecular…

Materials Science · Physics 2019-12-03 Arkadiy Simonov , Andrew L. Goodwin

Amorphous silicon (a-Si) models are analyzed for structural, electronic and vibrational characteristics. Several models of various sizes have been computationally fabricated for this analysis. It is shown that a recently developed…

Disordered Systems and Neural Networks · Physics 2018-11-29 Dale Igram , Bishal Bhattarai , Parthapratim Biswas , D. A. Drabold

The Activation-Relaxation Technique nouveau (ARTn) is an eigenvector following method for systematic search of saddle points and transition pathways on a given potential energy surface. We propose a variation of this method aiming at…

Materials Science · Physics 2009-11-13 E. Cancès , F. Legoll , M. -C. Marinica , K. Minoukadeh , F. Willaime

Plastic rearrangements play a crucial role in the characterization of soft-glassy materials, such as emulsions and foams. Based on numerical simulations of soft-glassy systems, we study the dynamics of plastic rearrangements at the…

Soft Condensed Matter · Physics 2014-10-27 R. Benzi , M. Sbragaglia , A. Scagliarini , P. Perlekar , M. Bernaschi , S. Succi , F. Toschi

We summarize current developments in the investigation of glassy matter using nonlinear dielectric spectroscopy. This work also provides a brief introduction into the phenomenology of the linear dielectric response of glass-forming…

Disordered Systems and Neural Networks · Physics 2017-08-30 P. Lunkenheimer , M. Michl , Th. Bauer , A. Loidl

We prove an integral representation result for a class of variational functionals appearing in the framework of hierarchical systems of structured deformations via a global method for relaxation. Some applications to specific relaxation…

Analysis of PDEs · Mathematics 2024-03-05 Ana Cristina Barroso , José Matias , Elvira Zappale

Five new algorithms were proposed in order to optimize well conditioning of structural matrices. Along with decreasing the size and duration of analyses, minimizing analytical errors is a critical factor in the optimal computer analysis of…

Numerical Analysis · Mathematics 2021-09-21 Farzad S. Dizaji , Mehrdad S. Dizaji

The magnetisation relaxations of three different types of geometrically frustrated magnetic systems have been studied with the same experimental procedures as previously used in spin glasses. The materials investigated are Y$_2$Mo$_2$O$_7$…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. Ladieu , F. Bert , V. Dupuis , E. Vincent , J. Hammann

We present a novel approach for parameter-free modeling of the structural, dynamical and electronic properties of non-crystalline materials based on ab-initio Molecular Dynamics, improved signal processing technique and computer…

Materials Science · Physics 2009-11-13 I. M. Kupchak , F. Gaspari , A. I. Shkrebtii , J. Perz

Residual stress engineering is very widely used in the design of new advanced lightweight materials. For metallic glasses the attention has been on structural changes and rejuvenation processes. High energy scanning X-ray diffraction strain…

Materials Science · Physics 2022-10-12 D. Şopu , F. Spieckermann , X. L. Bian , S. Fellner , J. Wright , M. Cordill , C. Gammer , G. Wang , M. Stoica , J. Eckert

Disordered systems form one of the centrestages of research in many body sciences and lead to a plethora of interesting phenomena and applications. A paradigmatic disordered system consists of an one-dimensional array of quantum spin-1/2…

Quantum Physics · Physics 2018-10-23 Utkarsh Mishra , Debraj Rakshit , R. Prabhu , Aditi Sen De , Ujjwal Sen

On the basis of long simulations of a binary mixture of soft spheres just below the glass transition, we make an exploratory study of the activated processes that contribute to the dynamics. We concentrate on statistical measures of the…

Disordered Systems and Neural Networks · Physics 2009-10-30 David Lancaster , Giorgio Parisi

Amorphous materials exhibit various characteristics that are not featured by crystals and can sometimes be tuned by their degree of disorder (DOD). Here, we report results on the mechanical properties of monolayer amorphous carbon (MAC) and…

Materials Science · Physics 2024-05-15 Xi Zhang , Yu-Tian Zhang , Yun-Peng Wang , Shiyu Li , Shixuan Du , Yu-Yang Zhang , Sokrates T. Pantelides

For amorphous solids, it has been intensely debated whether the traditional view on solids, in terms of the ground state and harmonic low energy excitations on top of it, such as phonons, is still valid. Recent theoretical developments of…

Soft Condensed Matter · Physics 2017-04-26 Yuliang Jin , Hajime Yoshino

We develop a theory of the effective disorder temperature in glass-forming materials driven away from thermodynamic equilibrium by external forces. Our basic premise is that the slow configurational degrees of freedom of such materials are…

Materials Science · Physics 2015-05-13 Eran Bouchbinder , J. S. Langer
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