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The growth of correlation lengths in equilibrium glass-forming liquids near the glass transition is considered a critical finding in the quest to understand the physics of glass formation. These understandings helped us understand various…

Soft Condensed Matter · Physics 2023-08-16 Anoop Mutneja , Smarajit Karmakar

Instabilities and pattern formation is the rule in nonequilibrium systems. Selection of a persistent lengthscale, or coarsening (increase of the lengthscale with time) are the two major alternatives. When and under which conditions one…

Statistical Mechanics · Physics 2010-01-25 Chaouqi Misbah , Paolo Politi

We use state-of-the-art molecular dynamics simulations to study the effects of annealed disorder on the phase separating kinetics and aging phenomena of a segregating binary fluid mixture. In the presence of disorder, we observe a dramatic…

Soft Condensed Matter · Physics 2021-12-01 Rounak Bhattacharyya , Bhaskar Sen Gupta

In glass forming liquids close to the glass transition point, even a very slight increase in the macroscopic density results in a dramatic slowing down of the macroscopic relaxation. Concomitantly, the local density itself fluctuates in…

Soft Condensed Matter · Physics 2018-03-07 Akira Furukawa

We construct a framework for the study of fluctuations in the nonequilibrium relaxation of glassy systems with and without quenched disorder. We study two types of two-time local correlators with the aim of characterizing the heterogeneous…

The non-equilibrium dynamics of the kinetic spherical model, quenched to T<=T_c, with a non-conserved order-parameter is studied at its upper critical dimension d=d*=4. In the scaling limit where both the waiting time s and the observation…

Statistical Mechanics · Physics 2009-05-20 Maximilian Ebbinghaus , Helene Grandclaude , Malte Henkel

The current understanding of aging phenomena is mainly confined to the study of systems with short-ranged interactions. Little is known about the aging of long-ranged systems. Here, the aging in the phase-ordering kinetics of the…

Statistical Mechanics · Physics 2020-11-04 Henrik Christiansen , Suman Majumder , Malte Henkel , Wolfhard Janke

We study the problem of predictability, or "nature vs. nurture", in several disordered Ising spin systems evolving at zero temperature from a random initial state: how much does the final state depend on the information contained in the…

Statistical Mechanics · Physics 2017-04-18 J. Ye , R. Gheissari , J. Machta , C. M. Newman , D. L. Stein

We study the out of equilibrium dynamics of several models exhibiting aging. We attempt at identifying various types of aging systems using a phase space point of view: we introduce a trial classification, based on the overlap between two…

Condensed Matter · Physics 2009-10-28 A. Barrat , R. Burioni , M. Mézard

Using Monte Carlo simulations, we have studied the relaxation of energy of the three-dimensional Ising spin-glass model in aging process. Our finite-size-scaling analysis on the isothermal energy decay after the quench suggests strongly…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

The standard two-dimensional Ising spin glass does not exhibit an ordered phase at finite temperature. Here, we investigate whether long-range correlated bonds change this behavior. The bonds are drawn from a Gaussian distribution with a…

Disordered Systems and Neural Networks · Physics 2021-04-21 L. Münster , C. Norrenbrock , A. P. Young , A. K. Hartmann

The coarse-graining of amorphous plasticity from the atomistic to the mesoscopic scale is studied in the framework of a simple scalar elasto-plastic model. Building on recent results obtained on the atomistic scale, we discuss the interest…

We adapt the non-linear $\sigma$ model to study the nonequilibrium critical dynamics of O(n) symmetric ferromagnetic system. Using the renormalization group analysis in $d=2+\epsilon$ dimensions we investigate the pure relaxation of the…

Statistical Mechanics · Physics 2009-11-11 Andrei A. Fedorenko , Steffen Trimper

Dynamics of ordering in Ising model, following quench to zero temperature, have been studied via Glauber spin-flip Monte Carlo simulations in space dimensions $d=2$ and $3$. One of the primary objectives has been to understand phenomena…

Statistical Mechanics · Physics 2016-05-03 Saikat Chakraborty , Subir K. Das

We study numerically the aging dynamics of the two-dimensional p-state clock model after a quench from an infinite temperature to the ferromagnetic phase or to the Kosterlitz-Thouless phase. The system exhibits the general scaling behavior…

Statistical Mechanics · Physics 2018-06-11 Federico Corberi , Eugenio Lippiello , Marco Zannetti

The random first order transition theory of the dynamics of supercooled liquids is extended to treat aging phenomena in nonequilibrium structural glasses. A reformulation of the idea of ``entropic droplets'' in terms of libraries of local…

Soft Condensed Matter · Physics 2009-11-10 Vassiliy Lubchenko , Peter G. Wolynes

To sensitively test scaling in the 2D XY model quenched from high-temperatures into the ordered phase, we study the difference between measured correlations and the (scaling) results of a Gaussian-closure approximation. We also directly…

Statistical Mechanics · Physics 2009-10-31 F. Rojas , A. D. Rutenberg

We investigate the characteristic length scales associated with the glass transition phenomenon. By studying an atomic glass-forming liquid in negatively curved space, for which the local order is well identified and the amount of…

Statistical Mechanics · Physics 2010-02-10 François Sausset , Gilles Tarjus

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

Strong dynamical scaling violations exist in quenched two-dimensional systems with vector O(3) order parameters. These systems support non-singular topologically stable configurations (skyrmions). By tuning the stability of isolated…

Statistical Mechanics · Physics 2016-08-31 Andrew D. Rutenberg , Wojtek J. Zakrzewski , Martin Zapotocky
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