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We demonstrate how the matrix-valued mode-coupling theory of the glass transition and glassy dynamics in planar confinement converges to the corresponding theory for two-dimensional (2D) planar and the three-dimensional bulk liquid,…

Soft Condensed Matter · Physics 2015-01-12 Simon Lang , Rolf Schilling , Thomas Franosch

Starting from the second law of thermodynamics applied to an isolated system consisting of the system surrounded by an extremely large medium, we formulate a general non-equilibrium thermodynamic description of the system when it is out of…

Statistical Mechanics · Physics 2015-05-14 P. D. Gujrati

Self- and cross-correlation dynamics of deeply supercooled liquids were recently identified using photon correlation spectroscopy and spin relaxometry on the one hand, and using dielectric investigations on the other. These results fueled a…

Soft Condensed Matter · Physics 2021-03-09 K. Moch , P. Münzner , R. Böhmer , C. Gainaru

Elastic models of the glass transition relate the relaxation dynamics and the elastic properties of structural glasses. They are based on the assumption that the relaxation dynamics occurs through activated events in the energy landscape…

Soft Condensed Matter · Physics 2015-08-20 M. Pica Ciamarra , Peter Sollich

We construct the equations for the growth kinetics of an aging structural glass within mode-coupling theory through a non-stationary variant of the 3-density correlator defined in Phys. Rev. Lett. {\bf 97}, 195701 (2006). We solve a…

Soft Condensed Matter · Physics 2021-08-24 Saroj Kumar Nandi , Sriram Ramaswamy

Using molecular dynamics computer simulations we investigate how the glass transition and the properties of the resulting glass depend on the cooling rate with which the sample has been quenched. This is done by studying a two component…

Condensed Matter · Physics 2009-10-28 Katharina Vollmayr , Walter Kob , Kurt Binder

We propose an approach to the problem of low but finite temperature dynamical correlation functions in integrable one-dimensional models with a spectral gap. The approach is based on the analysis of the leading singularities of the operator…

Statistical Mechanics · Physics 2009-11-11 B. L. Altshuler , R. M. Konik , A. M. Tsvelik

Recent numerical simulations indicate that several different equilibrium glass transitions may be characterized by diverging correlation lengths, and that these divergences are described by a non-mean-field, Ising-like, critical exponent. I…

Statistical Mechanics · Physics 2012-09-26 J. S. Langer

We have investigated the glassy behavior of a molecular crystal built up with chloroadamantane molecules. For a simple model of this molecule and a rigid fcc lattice a MD simulation was performed from which we obtained the dynamical…

Soft Condensed Matter · Physics 2009-11-11 M. Ricker , F. Affouard , R. Schilling , M. Descamps

Anomalous temperature dependence of heat capacity of glassy systems during a cooling-heating cycle has remained an ill-understood problem for a long time. Most of the features observed in the experimental measurement of the heat capacity of…

Soft Condensed Matter · Physics 2007-05-23 Dwaipayan Chakrabarti , Biman Bagchi

We investigate the response to temperature of a well-known colloid-polymer mixture. At room temperature, the critical value of the second virial coefficient of the effective interaction for the Asakura-Oosawa model predicts the onset of…

Soft Condensed Matter · Physics 2017-12-27 Shelley L. Taylor , Robert Evans , C. Patrick Royall

Thermodynamics and kinetics are thought to be linked in glass transitions. The quantitative predictions of -relaxation activation barriers provided by the theory of glasses based on random first order transitions are compared with…

Soft Condensed Matter · Physics 2007-05-23 Jacob D. Stevenson , Peter G. Wolynes

An alternative scenario for the glass transition based on the cooperative nature of nucleation processes and the role of entropic effects is presented. The new ingredient is to relate the dissipation during the relaxation process to the…

Statistical Mechanics · Physics 2007-05-23 Andrea Crisanti , Felix Ritort

Time-dependent density functional theory, proposed recently in the context of atomic diffusion and non-equilibrium processes in solids, is tested against Monte Carlo simulation. In order to assess the basic approximation of that theory, the…

Statistical Mechanics · Physics 2009-11-07 M. Kessler , W. Dieterich , H. L. Frisch , J. F. Gouyet , P. Maass

Glass-like materials are nonequilibrium systems where the relaxation time may exceed reasonable time scales of observations. In the present paper a dynamic percolation model is introduced in order to explain the principal properties of…

Condensed Matter · Physics 2007-05-23 A. Vazquez , O. Sotolongo-Costa

We study the effect of periodic, spatially uniform temperature variation on mechanical properties and structural relaxation of amorphous alloys using molecular dynamics simulations. The disordered material is modeled via a non-additive…

Soft Condensed Matter · Physics 2019-02-04 Qing-Long Liu , Nikolai V. Priezjev

We present a simple density functional theory for the solid phases of systems of particles interacting via soft-core potentials. In particular, we apply the theory to particles interacting via repulsive point Yukawa and Gaussian pair…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer

A simplified nonlinear memory function is proposed in the ideal time-convolutionless mode-coupling theory equation to study the dynamics of glass-forming liquids. The numerical solutions are then compared with the simulation results…

Statistical Mechanics · Physics 2020-01-22 Michio Tokuyama

We present a quantum statistical analysis of a microscopic mean-field model of structural glasses at low temperatures. The model can be thought of as arising from a random Born von Karman expansion of the full interaction potential. The…

Disordered Systems and Neural Networks · Physics 2015-05-14 J. van Baardewijk , R. Kuehn

We consider experimental data on the dynamics of water (1) in glass-forming aqueous mixtures with glass transition temperature Tg approaching the putative Tg=136 K of water from above and below, (2) in confined spaces of nanometer in size…

Statistical Mechanics · Physics 2015-05-28 S. Capaccioli , K. L. Ngai