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The dramatic slowing down associated with the glass transition cannot be fully understood without an associated static length that is expected to increase rapidly as the temperature is reduced. The search for such a length was long and…

Statistical Mechanics · Physics 2011-05-23 Smarajit Karmakar , Itamar Procaccia

Dielectric relaxation spectroscopy (1 Hz - 20 GHz) has been performed on supercooled glass-formers from the temperature of glass transition (T_g) up to that of melting. Precise measurements particularly in the frequencies of MHz-order have…

Disordered Systems and Neural Networks · Physics 2009-11-07 Takuya Fujima , Hiroshi Frusawa , Kohzo Ito

The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

Disordered Systems and Neural Networks · Physics 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

The mode-coupling theory of the glass transition treats the dynamics of supercooled liquids in terms of two-point density correlation functions. Here we consider a generalized, hierarchical formulation of schematic mode-coupling equations…

Statistical Mechanics · Physics 2014-11-27 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

The scaling function for the critical specific heat is obtained exactly for temperatures above the bulk transition temperature by working in the spherical limit. Generalization of the function to arbitrary $\alpha$ (the specific heat…

Condensed Matter · Physics 2009-10-31 Saugata Bhattacharyya , J. K. Bhattacharjee

The non equilibrium relaxational dynamics of the solid on solid model on a disordered substrate and the Sine Gordon model with random phase shifts is studied numerically. Close to the super-roughening temperature $T_g$ our results for the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr , Heiko Rieger

Random first order transition theory is used to determine the role of attractive and repulsive interactions in the dynamics of supercooled liquids. Self-consistent phonon theory, an approximate mean field treatment consistent with random…

Soft Condensed Matter · Physics 2007-09-13 Randall W. Hall , Peter G. Wolynes

Thermo-elasticity couples the deformation of an elastic (solid) body to its temperature and vice-versa. It is a solid-like property. Highlighting such property in liquids is a paradigm shift: it requires long-range collective interactions…

Soft Condensed Matter · Physics 2020-10-07 Eni Kume , Patrick Baroni , Laurence Noirez

The time-dependent susceptibility for the finite-size mean-field Random Orthogonal model (ROM) is studied numerically for temperatures above the mode-coupling temperature. The results show that the imaginary part of the susceptibility…

Disordered Systems and Neural Networks · Physics 2007-05-23 Francesco Rao , Andrea Crisanti , Felix Ritort

We propose a computational strategy to quantify the temperature evolution of the timescales and lengthscales over which dynamic facilitation affects the relaxation dynamics of glass-forming liquids at low temperatures, that requires no…

Soft Condensed Matter · Physics 2024-06-25 Cecilia Herrero , Ludovic Berthier

Tetrahedral liquids such as water and silica-melt show unusual thermodynamic behavior such as a density maximum and an increase in specific-heat when cooled to low temperatures. There is a debate in the literature whether these phenomena…

Statistical Mechanics · Physics 2011-08-10 Itamar Procaccia , Ido Regev

We monitor the transformation of a liquid into an amorphous solid in simulations of a glass forming liquid by measuring the variation of a structural order parameter with either changing temperature or potential energy to establish the…

Soft Condensed Matter · Physics 2023-06-07 Gang Sun , Peter Harrowell

Recently there have been significant theoretical advances in our understanding of liquids and dense supercritical fluids based on their ability to support high frequency transverse (shear) waves. Here, we have constructed a new computer…

Soft Condensed Matter · Physics 2020-10-14 John E. Proctor

We present the results of a Molecular Dynamics computer simulation of a binary Lennard-Jones liquid confined in a narrow pore. The surface of the pore has an amorphous structure similar to that of the confined liquid. We find that the…

Statistical Mechanics · Physics 2007-05-23 Peter Scheidler , Walter Kob , Kurt Binder

The incoherent dynamic structure factor of ortho-terphenyl has been measured by neutron time-of-flight and backscattering technique in the pressure range from 0.1 MPa to 240 MPa for temperatures between 301 K and 335 K. Tagged-particle…

Statistical Mechanics · Physics 2011-04-05 A. Toelle , H. Schober , J. Wuttke , F. Fujara

Knowledge of relaxation processes is fundamental in glass science and technology because relaxation is intrinsically related to vitrification, tempering as well as to annealing and sev-eral applications of glasses. However, there are…

Soft Condensed Matter · Physics 2021-03-17 Ricardo F. Lancelotti , Daniel R. Cassar , Marcelo Nalin , Oscar Peitl , Edgar D. Zanotto

Superconductors like other solids cannot relax instantaneously from excited states to thermodynamic equilibrium. In this paper, relaxation from thermal excitations is investigated, like after absorption of radiation or, under conductor…

Superconductivity · Physics 2021-11-19 Harald Reiss

Glass formers exhibit a viscoelastic behavior: at the laboratory timescale, they behave like (glassy) solids at low temperatures, and like liquids at high temperatures. Based on this observation, elastic models relate the long time…

Chemical Physics · Physics 2017-08-01 Emmanuel Guillaud , Laurent Joly , Dominique De Ligny , Samy Merabia

We propose that the super-Arrhenius relaxation rates observed in glassy materials are determined by thermally nucleated rearrangements of increasing numbers of molecules at decreasing temperatures. In our model of this mechanism,…

Materials Science · Physics 2016-08-16 J. S. Langer , Anaël Lemaître

We develop a series of approximations to calculate free energy of a polar liquid. We show that long range nature of dipole interactions between the molecules leads to para-electric state instability at low temperatures and to a second-order…

Statistical Mechanics · Physics 2012-05-01 P. O. Fedichev , L. I. Menshikov