English
Related papers

Related papers: A model for approximately stretched-exponential re…

200 papers

It is well known that the \alpha-relaxation of each component in a miscible mixtures of two glass-formers has its own dynamics, which change with the composition of the blend. Lesser known are the corresponding change of the…

Soft Condensed Matter · Physics 2007-05-23 Kia l. Ngai , Simone Capaccioli

The Shintani-Tanaka model is a glass-forming system whose constituents interact via anisotropic potential depending on the angle of a unit vector carried by each particle. The decay of time-correlation functions of the unit vectors exhibits…

Statistical Mechanics · Physics 2009-11-13 Edan Lerner , Itamar Procaccia , Ido Regev

We study the shear induced fluidization of amorphous solids subjected to external loading by investigating the relaxation dynamics of the deformed states using computer simulation. A simple shear deformation is employed at constant rate to…

Soft Condensed Matter · Physics 2021-12-07 Santhosh Kumar R , Bhaskar Sen Gupta

We study the relaxation for growing interfaces in quenched disordered media. We use a directed percolation depinning model introduced by Tang and Leschhorn for 1+1-dimensions. We define the two-time autocorrelation function of the interface…

Statistical Mechanics · Physics 2016-08-16 A. Díaz-Sánchez , A. Pérez-Garrido , A. Urbina , J. D. Catalá

We use large scale computer simulations of a glass-forming liquid in which a fraction c of the particles has been permanently pinned. We find that the relaxation dynamics shows an exponential dependence on c. This result can be rationalized…

Disordered Systems and Neural Networks · Physics 2014-12-17 Walter Kob , Daniele Coslovich

The Kohlrausch(-Williams-Watts) law of stretched exponential relaxation has been observed for more than a century and a half in diverse complex classical systems. Here we show that this law describes relaxation quite generically in closed…

Statistical Mechanics · Physics 2025-02-07 Asmi Haldar

In soft amorphous materials, shear cessation after large shear deformation leads to structures having residual shear stress. The origin of these states and the distribution of the local shear stresses within the material is not well…

Soft Condensed Matter · Physics 2021-08-31 Vishwas V. Vasisht , Pinaki Chaudhuri , Kirsten Martens

Discrete particle simulations are used to study the shear rheology of dense, stabilized, frictional particulate suspensions in a viscous liquid, toward development of a constitutive model for steady shear flows at arbitrary stress. These…

Soft Condensed Matter · Physics 2018-02-14 Abhinendra Singh , Romain Mari , Morton M. Denn , Jeffrey F. Morris

We review a new theory of viscoelasticity of a glass-forming viscous liquid near and below the glass transition. In our model we assume that each point in the material has a specific viscosity, which varies randomly in space according to a…

Disordered Systems and Neural Networks · Physics 2016-04-27 Walter Schirmacher , Giancarlo Ruocco , Valerio Mazzone

Dynamic shear-modulus data are presented for the two silicone oils DC704 and DC705 for frequencies between 1 mHz and 10 kHz at temperatures covering more than five decades of relaxation-time variation. The data are fitted to the alpha part…

Soft Condensed Matter · Physics 2022-06-30 Tina Hecksher , Niels Boye Olsen , Jeppe C. Dyre

We propose a first-principles theoretical approach for the description of the aging of the linear viscoelastic properties of a colloidal liquid after a sudden quench into a dynamically arrested (glass or gel) state. Specifically, we couple…

Soft Condensed Matter · Physics 2024-02-23 R. Peredo-Ortiz , O. Joaquín-Jaime , L. López-Flores , M. Medina-Noyola , L. F. Elizondo-Aguilera

We compute analytically and numerically the four-point correlation function that characterizes non-trivial cooperative dynamics in glassy systems within several models of glasses: elasto-plastic deformations, mode-coupling theory (MCT),…

Disordered Systems and Neural Networks · Physics 2015-06-24 Cristina Toninelli , Matthieu Wyart , Ludovic Berthier , Giulio Biroli , Jean-Philippe Bouchaud

Nearly all glass-forming liquids feature, along with the structural alpha-relaxation process, a faster secondary process (beta-relaxation), whose nature belongs to the great mysteries of glass physics. However, for some of these liquids, no…

Disordered Systems and Neural Networks · Physics 2010-04-15 A. A. Pronin , M. V. Kondrin , A. G. Lyapin , V. V. Brazhkin , A. A. Volkov , P. Lunkenheimer , A. Loidl

We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e.…

Disordered Systems and Neural Networks · Physics 2016-02-17 Matthew Wittmann , A. P. Young

Dielectric relaxation spectroscopy (1 Hz - 20 GHz) has been performed on supercooled glass-formers from the temperature of glass transition (T_g) up to that of melting. Precise measurements particularly in the frequencies of MHz-order have…

Disordered Systems and Neural Networks · Physics 2009-11-07 Takuya Fujima , Hiroshi Frusawa , Kohzo Ito

The embedding of the equations of polyconvex elastodynamics to an augmented symmetric hyperbolic system provides in conjunction with the relative entropy method a robust stability framework for approximate solutions. We devise here a model…

Analysis of PDEs · Mathematics 2017-03-09 Athanasios E. Tzavaras

We investigate spatial correlations of strain fluctuations in sheared colloidal glasses and simulations of sheared amorphous solids. The correlations reveal a quadrupolar symmetry reminiscent of the strain field due to an Eshelby's…

We study the dynamic fluctuations of the soft-spin version of the Edwards-Anderson model in the critical region for $T\rightarrow T_{c}^{+}$. First we solve the infinite-range limit of the model using the random matrix method. We define the…

Condensed Matter · Physics 2009-10-28 Paola Ranieri

We derive expressions for the shear modulus of deeply-quenched, glassy solids, in terms of a Cauchy-Born free energy expansion around a rigid (quenched) reference state, following the approach due to Alexander [Alexander, Phys. Rep. 296,…

Soft Condensed Matter · Physics 2015-05-13 Alessio Zaccone

The effect of confinement in the segmental relaxation of polymers is considered. On the basis of a thermodynamic model we discuss the emerging relevance of the fast degrees of freedom in stimulating the much slower segmental relaxation, as…

Soft Condensed Matter · Physics 2015-05-13 Marco Pieruccini , Tiberio A. Ezquerra