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We attempt to give a bird's eye view of the physical mechanisms leading to anomalous relaxation, and the relation of this phenomenon with anomalous diffusion and transport. Whereas in some cases these two notions are indeed deeply related,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jean-Philippe Bouchaud

Amorphous solids or glasses are known to exhibit stretched-exponential decay over broad time intervals in several of their macroscopic observables: intermediate scattering function, dielectric relaxation modulus, time-elastic modulus etc.…

Soft Condensed Matter · Physics 2017-01-19 B. Cui , R. Milkus , A. Zaccone

Stress relaxation in crystalline solids is mediated by the formation and diffusion of defects. While it is well established how externally-generated stresses relax, through the proliferation and motion of dislocations in the lattice, it…

Soft Condensed Matter · Physics 2015-06-17 B. van der Meer , W. Qi , R. Fokkink , J. van der Gucht , M. Dijkstra , J. Sprakel

The process of structural relaxation in disordered solids subjected to repeated tension-compression loading is studied using molecular dynamics simulations. The binary glass is prepared by rapid cooling well below the glass transition…

Soft Condensed Matter · Physics 2020-05-04 Pritam Kumar Jana , Nikolai V. Priezjev

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

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

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

Molecular dynamics simulations are performed to investigate heterogeneous dynamics in amorphous glassy materials under oscillatory shear strain. We consider three-dimensional binary Lennard-Jones mixture well below the glass transition…

Soft Condensed Matter · Physics 2013-05-10 Nikolai V. Priezjev

We present an interpolated kinetically constrained lattice gas model which exhibits a transition from fragile to strong supercooled liquid behavior. We find non-monotonic decoupling that is due to this crossover and is seen in experiment.

Statistical Mechanics · Physics 2007-05-23 Albert C. Pan , Juan P. Garrahan , David Chandler

We study the link between relaxation to the equilibrium and anomalous superdiffusive motion in a classical N-body hamiltonian system with long-range interaction showing a second-order phase-transition in the canonical ensemble. Anomalous…

Statistical Mechanics · Physics 2009-10-31 V. Latora , A. Rapisarda , S. Ruffo

Relaxation dynamics, as a key to understand glass formation and glassy properties, remains an elusive and challenging issue in condensed matter physics. In this work, in situ high-pressure synchrotron high-energy x-ray photon correlation…

We show the existence of fragile-to-strong transitions in kinetically constrained systems by studying the equilibrium and out-of-equilibrium dynamics of a generic constrained Ising spin chain which interpolates between the symmetric and…

Statistical Mechanics · Physics 2009-11-07 Arnaud Buhot , Juan P. Garrahan

We theoretically investigate the temperature dependence of the reversible structural relaxation time and diffusion constant of metallic glasses under pressure. The compression not only changes the glassy dynamics, but also generates a…

Materials Science · Physics 2021-05-28 Nguyen K. Ngan , Anh D. Phan , Alessio Zaccone

Stretched-exponential relaxation is a widely observed phenomenon found in ordered ferromagnets as well as glassy systems. One modeling approach connects this behavior to a droplet dynamics described by an effective Langevin equation for the…

Statistical Mechanics · Physics 2024-02-21 Lucianno Defaveri , Eli Barkai , David A. Kessler

Soft-mode turbulence (SMT) is the spatiotemporal chaos observed in homeotropically aligned nematic liquid crystals, where non-thermal fluctuations are induced by nonlinear coupling between the Nambu-Goldstone and convective modes. The net…

Soft Condensed Matter · Physics 2015-06-12 Takayuki Narumi , Fahrudin Nugroho , Junichi Yoshitani , Yoshiki Hidaka , Masaru Suzuki , Shoichi Kai

Within the framework of a simple Rouse-type model we present exact analytical results for dynamical critical behaviour on the sol side of the gelation transition. The stress-relaxation function is shown to exhibit a stretched-exponential…

Statistical Mechanics · Physics 2007-05-23 Kurt Broderix , Henning Löwe , Peter Müller , Annette Zippelius

The origin of stretched exponential relaxation in supercooled glass-forming liquids is one of the central questions regarding the anomalous dynamics of these fluids. The dominant explanation for this phenomenon has long been the proposition…

Soft Condensed Matter · Physics 2021-02-03 Daniel Diaz Vela , David S. Simmons

Through experiments, we studied defect turbulence, a type of spatiotemporal chaos in planar systems of nematic liquid crystals, to clarify the chaotic advection of weak turbulence. In planar systems of large aspect ratio, structural…

Soft Condensed Matter · Physics 2016-10-12 Takayuki Narumi , Yosuke Mikami , Tomoyuki Nagaya , Hirotaka Okabe , Kazuhiro Hara , Yoshiki Hidaka

A new class of lattice gas models with trivial interactions but constrained dynamics are introduced. These are proven to exhibit a dynamical glass transition: above a critical density, rho_c, ergodicity is broken due to the appearance of an…

Statistical Mechanics · Physics 2009-11-11 Cristina Toninelli , Giulio Biroli , Daniel S. Fisher

The structural relaxation of amorphous materials is described as arising from the superposition of elementary processes with varying activation energies. We show that it is possible to obtain the kinetic parameters of these processes from…

Materials Science · Physics 2009-01-19 Pere Roura , Jordi Farjas
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