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A detailed numerical study is made of relaxation at equilibrium in the Sherrington-Kirkpatrick Ising spin glass model, at and above the critical temperature Tg. The data show a long time stretched exponential relaxation q(t) ~…

Disordered Systems and Neural Networks · Physics 2015-05-28 Alain Billoire , I. A. Campbell

Amorphous glass-forming polymers exhibit multiple relaxation processes, including the structural {\alpha}-relaxation associated with the glass transition and faster secondary relaxations that typically follow Arrhenius behavior. Recently, a…

Soft Condensed Matter · Physics 2026-03-10 Valeriy V. Ginzburg , Oleg V. Gendelman , Simone Napolitano , Riccardo Casalini , Alessio Zaccone

We examine enthalpy relaxation across the chalcogenide glass series GexSe1-x, prepared over close-by compositions using conventional melt-quenching technique. We estimate the timescale {\tau}(Tg) characterizing enthalpic relaxation near the…

Disordered Systems and Neural Networks · Physics 2015-05-05 Deepak Sharma , Sujatha Sampath , A. M. Awasthi

Spin propagation in systems of one-dimensional interacting fermions at finite temperature is intrinsically diffusive. The spreading rate of a spin packet is controlled by a transport coefficient termed "spin drag" relaxation time $\tau_{\rm…

Strongly Correlated Electrons · Physics 2008-01-16 Diego Rainis , Marco Polini , M. P. Tosi , G. Vignale

For several atomistic models of glass formers, at conditions below their glassy dynamics onset temperatures, ${T_\mathrm{o}}$, we use importance sampling of trajectory space to study the structure, statistics and dynamics of excitations…

Statistical Mechanics · Physics 2014-05-08 Aaron S. Keys , Lester O. Hedges , Juan P. Garrahan , Sharon C. Glotzer , David Chandler

In this paper we develop a theory to calculate the structural relaxation time {\tau} {\alpha} of fragile su percooled liquids. Using the information of the configurational entropy and structure we calculate the number of dynamically free,…

Soft Condensed Matter · Physics 2021-04-07 Ankit Singh , Sarika Maitra Bhattacharyya , Yashwant Singh

We study the full class of kinetically constrained models in arbitrary dimension and out of equilibrium, in the regime where the density $q$ of facilitating sites in the equilibrium measure (but not necessarily in the initial measure) is…

Probability · Mathematics 2024-05-29 Ivailo Hartarsky , Fabio Toninelli

Master curves of the relaxation time, tau, or viscosity, eta, versus T^-1V^-x, where T is temperature, V the specific volume, and x a material constant, are used to deduce the effect of pressure on the dynamic crossover and the fragility.…

Soft Condensed Matter · Physics 2009-11-10 R. Casalini , C. M. Roland

Glassy behavior is one of the main open problems in condensed matter physics. In this thesis, we approach the problem by studying spin-glasses and colloids, using several complementary strategies. From the point of view of model building,…

Disordered Systems and Neural Networks · Physics 2013-09-10 B. Seoane

Understanding the dynamics of strongly interacting disordered quantum systems is one of the most challenging problems in modern science, due to features such as the breakdown of thermalization and the emergence of glassy phases of matter.…

Quantum Physics · Physics 2021-01-27 A. Signoles , T. Franz , R. Ferracini Alves , M. Gärttner , S. Whitlock , G. Zürn , M. Weidemüller

The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost…

A multi-time probing of density fluctuations is introduced to investigate hidden time scales of heterogeneous dynamics in glass-forming liquids. Molecular dynamics simulations for simple glass-forming liquids are performed, and a three-time…

Soft Condensed Matter · Physics 2009-06-15 Kang Kim , Shinji Saito

The ground state dynamics of an entropy barrier model proposed recently for describing relaxation of glassy systems is considered. At stages of evolution the dynamics can be described by a simple variant of the Ehrenfest urn model.…

Statistical Mechanics · Physics 2009-10-30 K. P. N. Murthy , K. W. Kehr

We revisit the concepts of spin relaxation and spin decoherence of two level (spin-1/2) systems. From two toy-models, we clarify two issues related to the spin relaxation and decoherence: 1) For an ensemble of two-level particles each…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 X. R. Wang , Y. S. Zheng , Sun Yin

We introduce a kinetically constrained spin model with a local softness parameter, such that spin flips can violate the kinetic constraint with an (annealed) site-dependent rate. We show that adding MC swap moves to this model can…

Statistical Mechanics · Physics 2019-09-30 Ricardo Gutierrez , Juan P. Garrahan , Robert L. Jack

Investigating million-atom systems for very long simulation times, we demonstrate that the collective density-density correlation time ($\tau_{\alpha}$) in simulated supercooled water and silica becomes wavevector independent ($q^0$) when…

Statistical Mechanics · Physics 2019-05-20 Philip H. Handle , Lorenzo Rovigatti , Francesco Sciortino

We study two kinetically constrained models in a quenched random environment. The first model is a mixed threshold Fredrickson-Andersen model on $\mathbb{Z}^{2}$, where the update threshold is either $1$ or $2$. The second is a mixture of…

Probability · Mathematics 2020-06-17 Assaf Shapira

We present a model for the dynamics in energy space of multicanonical simulation methods that lends itself to a rather complete analytic characterization. The dynamics is completely determined by the density of states. In the \pm J 2D spin…

Statistical Mechanics · Physics 2007-05-23 Miguel D. Costa , J. Viana Lopes , J. M. B. Lopes dos Santos

The dynamics of glass-forming liquids display several outstanding features, such as two-step relaxation and dynamic heterogeneities, which are difficult to predict quantitatively from first principles. In this work, we revisit a simple…

Statistical Mechanics · Physics 2022-11-23 Daniele Coslovich , Atsushi Ikeda

We develop a simple yet comprehensive nonlinear model to describe relaxation phenomena in amorphous glass-formers near the glass transition temperature. The model is based on the two-state, two-(time)scale (TS2) framework, and describes the…

Soft Condensed Matter · Physics 2024-03-12 Valeriy V. Ginzburg , Oleg V. Gendelman , Alessio Zaccone