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In recent years it has become widely accepted that a dynamical length scale {\xi}_{\alpha} plays an important role in supercooled liquids near the glass transition. We examine the implications of the interplay between the growing…

Disordered Systems and Neural Networks · Physics 2016-09-28 Jacob D. Stevenson , Peter G. Wolynes

In this paper, we analyze the dynamics of the Coulomb Glass lattice model in three dimensions near a local equilibrium state by using mean-field approximations. We specifically focus on understanding the role of localization length ($\xi$)…

Disordered Systems and Neural Networks · Physics 2021-03-31 Preeti Bhandari , Vikas Malik , Deepak Kumar , Moshe Schechter

The relaxation dynamics and thermodynamic properties of supercooled and glassy gambogic acid are investigated using both theory and experiment. We measure the temperature dependence of the relaxation times in three polymorphs (alpha-,…

A central question concerning glass-formation has been what governs the kinetic arrest of the quenched liquid - cooling reduces the thermal energy which molecules need to surmount local potential barriers, while the accompanying volume…

Soft Condensed Matter · Physics 2007-05-23 CM Roland R Casalini

Properties of water have been well elucidated for temperatures above $\sim$230 K and yet mysteries remain in the deeply supercooled region. By performing extensive molecular dynamics simulations on this supercooled region, we find that…

Soft Condensed Matter · Physics 2018-11-15 Shinji Saito , Biman Bagchi , Iwao Ohmine

We review the Random First Order Transition Theory of the glass transition, emphasizing the experimental tests of the theory. Many distinct phenomena are quantitatively predicted or explained by the theory, both above and below the glass…

Disordered Systems and Neural Networks · Physics 2015-06-25 Vassiliy Lubchenko , P. G. Wolynes

A model combining Enskog's collision integral for dense fluids with a Vlasov-style description of the van der Waals force is applied to supercooling. First, the spinodal temperature $T_{s}$ is calculated, at which a liquid becomes unstable…

Statistical Mechanics · Physics 2026-05-29 E. S. Benilov

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

Statistical Mechanics · Physics 2009-10-31 Alexander Patashinski

We consider nonequilibrium (NEQ) states such as supercooled liquids and glasses that are described with use of internal variables. We classify the latter by state-dependent hierarchy of relaxation times to assess their relevance for…

Statistical Mechanics · Physics 2018-04-04 P. D. Gujrati

We examine the structural relaxation of glassy materials at finite temperatures, considering the effect of activated rearrangements and long-range elastic interactions. Our three-dimensional mesoscopic relaxation model shows how the…

Soft Condensed Matter · Physics 2023-12-20 Gieberth Rodriguez-Lopez , Kirsten Martens , Ezequiel E. Ferrero

We investigate the relaxation mechanism of a supercooled tetrahedral liquid at its limit of stability using isothermal isobaric ($NPT$) Monte Carlo (MC) simulations. In similarity with systems which are far from equilibrium but near the…

Statistical Mechanics · Physics 2017-09-06 Arvind Kumar Gautam , Nandlal Pingua , Aashish Goyal , Pankaj A. Apte

We report a computer simulation study of the glass transition for water. To mimic the difference between standard and hyperquenched glass, we generate glassy configurations with different cooling rates and calculate the $T$ dependence of…

Soft Condensed Matter · Physics 2016-08-31 Nicolas Giovambattista , C. Austen Angell , Francesco Sciortino , H. Eugene Stanley

To study relaxation dynamics of the two-dimensional XY gauge glass, we integrate directly the equations of motion and investigate the energy function. As usual, it decays exponentially at high temperatures; at low but non-zero temperatures,…

Superconductivity · Physics 2008-02-03 Beom Jun Kim , M. Y. Choi , S. Ryu , D. Stroud

We present a detailed study of the heating effects in dielectric measurements carried out on a liquid. Such effects come from the dissipation of the electric power in the liquid and give a contribution to the nonlinear third harmonics…

Soft Condensed Matter · Physics 2015-05-20 C. Brun , C. Crauste-Thibierge , F. Ladieu , D. L'Hôte

Thermodynamic length is a path function that generalizes the notion of length to the surface of thermodynamic states. Here, we show how to measure thermodynamic length in far-from-equilibrium single molecule experiments using the work…

Statistical Mechanics · Physics 2014-05-27 Edward H. Feng , Gavin E. Crooks

In stark contrast with the conventional understanding of the glass transition, where the transition from glass to liquid appears as a dynamic process where atoms/molecules cooperatively relax into the equilibrium phase, we experimentally…

Disordered Systems and Neural Networks · Physics 2023-01-10 Ana Vila-Costa , Marta Gonzalez-Silveira , Cristian Rodríguez-Tinoco , Marta Rodríguez-López , Javier Rodríguez-Viejo

Classification of glass-forming liquids based on the dramatic change in their properties upon approach to the glassy state is appealing, since this is the most conspicuous and often-studied aspect of the glass transition. Herein, we show…

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

In this paper, we discuss theoretically the behavior of the four point nonlinear susceptibility and its associated correlation length for supercooled liquids close to the Mode Coupling instability temperature $T_c$. We work in the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Silvio Franz , Giorgio Parisi

We calculate the energy and heat capacity of a liquid on the basis of its elastic properties and vibrational states. The experimental decrease of liquid heat capacity with temperature is attributed to the increasing loss of two transverse…

Soft Condensed Matter · Physics 2009-11-13 Kostya Trachenko

We study the nature of the glass transition by cooling model atomistic glass formers at constant rate from a temperature above the onset of glassy dynamics to $T=0$. Motivated by the East model, a kinetically constrained lattice model with…

Statistical Mechanics · Physics 2018-04-16 Alexander Hudson , Kranthi K. Mandadapu
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