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Related papers: Solvable models of Glass Transition

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We give in this letter a set of general rules which allow the prediction of the value of the glass transition temperature $T_g$ in network glasses. Starting from the Gibbs-Di Marzio law which gives a very general relationship between this…

Materials Science · Physics 2007-05-23 M. Micoulaut , G. G. Naumis

We develop a transferable machine learning model which predicts structural relaxation from amorphous supercooled liquid structures. The trained networks are able to predict dynamic heterogeneity across a broad range of temperatures and time…

Soft Condensed Matter · Physics 2024-02-27 Gerhard Jung , Giulio Biroli , Ludovic Berthier

We give general topological rules which very accurately predict the chemical trends in glass transition temperature $T_g$ variation as a function of cross-linking. In multicomponent glasses, these chemical trends permit to distinguish…

Disordered Systems and Neural Networks · Physics 2009-10-31 Matthieu Micoulaut , Gerardo G. Naumis

We give a simple demonstration of the formula relating the glass transition temperature, $T_g$, to the molar concentration $x$ of a modifier in two types of glasses: binary glasses, whose composition can be denoted by $X_nY_m+xM_pY_q$, with…

Disordered Systems and Neural Networks · Physics 2015-06-25 R. Kerner , M. Micoulaut

Machine learning offers promising tools to develop surrogate models for polymer structure-property relations. Surrogate models can be built upon existing polymer data and are useful for rapidly predicting the properties of unknown polymers.…

Soft Condensed Matter · Physics 2023-08-22 Agrim Babbar , Sriram Ragunathan , Debirupa Mitra , Arnab Dutta , Tarak. K Patra

An analytically tractable model is introduced which exhibits both, a glass--like freezing transition, and a collection of double--well configurations in its zero--temperature potential energy landscape. The latter are generally believed to…

Condensed Matter · Physics 2009-10-28 Reimer Kuehn

In this article, we present a universal relationship between the glass transition temperature $T_g$ and the local glass structure. The derivation of the simplest expression of this relationship and some comparisons with experimental $T_g$…

Disordered Systems and Neural Networks · Physics 2009-10-31 Matthieu Micoulaut

We study the equilibrium statistical properties of the potential energy landscape of several glass models in a temperature regime so far inaccessible to computer simulations. We show that unstable modes of the stationary points undergo a…

Statistical Mechanics · Physics 2019-12-11 Daniele Coslovich , Andrea Ninarello , Ludovic Berthier

When a liquid melt is cooled, a glass or phase transition can be obtained depending on the cooling rate. Yet, this behavior has not been clearly captured in energy landscape models. Here a model is provided in which two key ingredients are…

Statistical Mechanics · Physics 2015-10-12 Gerardo G. Naumis

The problems of the intermediate-range atomic structure of glasses and of the mechanism for the glass transition are approached from the low-temperature end in terms of a scenario for the atomic organization that justifies the use of an…

Mesoscale and Nanoscale Physics · Physics 2017-05-30 Giancarlo Jug

Glass-to-glass and liquid-to-liquid phase transitions are observed in bulk and confined water, with or without applied pressure. They result from the competition of two liquid phases separated by an enthalpy difference depending on…

Disordered Systems and Neural Networks · Physics 2017-11-21 Robert F. Tournier

Glass transition temperature ($T_{\text{g}}$) plays an important role in controlling the mechanical and thermal properties of a polymer. Polyimides are an important category of polymers with wide applications because of their superior heat…

Computational Physics · Physics 2020-06-16 Chengyuan Wen , Binghan Liu , Josh Wolfgang , Timothy E. Long , Roy Odle , Shengfeng Cheng

Glass-to-glass and liquid-to-liquid phase transitions were observed many years ago in bulk and confined water with or without applied pressure. It is shown that they result from the competition of two-liquid phases separated by an enthalpy…

Disordered Systems and Neural Networks · Physics 2017-03-21 Robert F Tournier

We consider the idea of bond ordering as a model for glass transition: a generic covalently bonded liquid may substantially reduce its energy through bond ordering, without undergoing significant structural order. This concept is developed…

Condensed Matter · Physics 2009-10-31 Saeid Davatolhagh , Bruce R. Patton

The glass transition temperature and its connection to statistical properties of confined and free-standing polymer films of varying thickness containing unentangled to highly entangled bead-spring chains are studied by molecular dynamics…

Soft Condensed Matter · Physics 2023-09-21 Hsiao-Ping Hsu , Kurt Kremer

We propose a method to study quantitatively the glass transition in a system of interacting particles. In spite of the absence of any quenched disorder, we introduce a replicated version of the hypernetted chain equations. The solution of…

Condensed Matter · Physics 2009-10-28 Marc Mezard , Giorgio Parisi

Understanding the nature of glass transition, as well as precise estimation of the glass transition temperature for polymeric materials, remain open questions in both experimental and theoretical polymer sciences. We propose a data-driven…

Soft Condensed Matter · Physics 2023-08-03 Atreyee Banerjee , Hsiao-Ping Hsu , Kurt Kremer , Oleksandra Kukharenko

We show that a glass transition, signaled by a peak in the specific heat vs. temperature, can occur because a glassy system that shows no signs of aging progresses so slowly through the energy landscape that the time needed to obtain an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Clare C. Yu , Herve M. Carruzzo

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

Using two extremely different models of glass formers in two and three dimensions we demonstrate how to encode the subtle changes in the geometric rearrangement of particles during the scenario of the glass transition. We construct a…

Statistical Mechanics · Physics 2015-05-13 Laurent Boue , Edan Lerner , Itamar Procaccia , Jacques Zylberg
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