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Related papers: Polymer Glass-Formation in Variable Dimension

200 papers

We show how dynamical heterogeneities in glass forming systems emerge as a consequence of the existence of dynamical constraints, and we offer an interpretation of the glass transition as an entropy crisis in trajectory space (space-time)…

Statistical Mechanics · Physics 2009-11-07 Juan P. Garrahan , David Chandler

This paper discusses the possible relation between entropy and the relaxation time of liquids, in particular glass-forming systems, providing supplementing comments to the paper entitled "A brief critique of the Adam-Gibbs entropy model" by…

Soft Condensed Matter · Physics 2014-03-12 Jeppe C. Dyre

A thermodynamic measure of the fragility of liquids has recently (Ito et al ref.1) been defined in terms of the temperature dependence of the excess entropy of liquid over crystal, scaled by the excess entropy at the glass transition…

Disordered Systems and Neural Networks · Physics 2007-05-23 L. -M. Martinez , C. A. Angell

As a liquid approaches the glass state, its dynamics slows down rapidly, by a few orders of magnitude in a very small temperature range. In the case of light elements and small molecules containing hydrogen (e.g., water), such a process can…

Soft Condensed Matter · Physics 2025-07-30 Yang Zhou , Ali Eltareb , Gustavo E. Lopez , Nicolas Giovambattista

The emergence of the solid state in glass-forming materials upon cooling is accompanied by changes in both thermodynamic and viscoelastic properties and by a precipitous drop in fluidity. Here, we investigate changes in basic elastic…

Soft Condensed Matter · Physics 2023-06-14 Xiaolei Xu , Jack F. Douglas , Wen-Sheng Xu

We develop a theory of amorphous interfaces in glass-forming liquids. We show that the statistical properties of these surfaces, which separate regions characterized by different amorphous arrangements of particles, coincide with the ones…

Disordered Systems and Neural Networks · Physics 2017-02-08 Giulio Biroli , Chiara Cammarota

The aim of this paper is to discuss some basic notions regarding generic glass forming systems composed of particles interacting via soft potentials. Excluding explicitly hard-core interaction we discuss the so called `glass transition' in…

Disordered Systems and Neural Networks · Physics 2009-11-13 Jean-Pierre Eckmann , Itamar Procaccia

We utilize the generalized entropy theory (GET) of glass formation to address one of the most singular and least understood properties of polymer glass-forming liquids in comparison to atomic and small molecule liquids -- the often…

Soft Condensed Matter · Physics 2024-12-30 Xiaolei Xu , Jack F. Douglas , Wen-Sheng Xu

Using positional data from video-microscopy of a two-dimensional colloidal system and from simulations of hard discs we determine the wave-vector-dependent normal mode spring constants in the supercooled fluid and glassy state,…

Soft Condensed Matter · Physics 2012-10-26 Christian L. Klix , Florian Ebert , Fabian Weysser , Matthias Fuchs , Georg Maret , Peter Keim

The configurational entropy is one of the most important thermodynamic quantities characterizing supercooled liquids approaching the glass transition. Despite decades of experimental, theoretical, and computational investigation, a widely…

Statistical Mechanics · Physics 2019-11-06 Ludovic Berthier , Misaki Ozawa , Camille Scalliet

Liquids relax extremely slowly upon approaching the glass state. One explanation is that an entropy crisis, due to the rarefaction of available states, makes it increasingly arduous to reach equilibrium in that regime. Validating this…

Statistical Mechanics · Physics 2017-11-08 Ludovic Berthier , Patrick Charbonneau , Daniele Coslovich , Andrea Ninarello , Misaki Ozawa , Sho Yaida

We reformulate the interpretation of the mean-field glass transition scenario for finite dimensional systems, proposed by Wolynes and collaborators. This allows us to establish clearly a temperature dependent length xi* above which the…

Statistical Mechanics · Physics 2016-08-31 J. -P. Bouchaud , G. Biroli

Glass is a liquid that has lost its ability to flow. Why this particular substance undergoes its dramatic slowing down in kinetics while remaining barely distinguishable in structure from the fluid state upon cooling constitutes the central…

Soft Condensed Matter · Physics 2018-05-23 Bo Li , Xiuming Xiao , Shuxia Wang , Weijia Wen , Ziren Wang

A model of low-temperature polar liquids is constructed that accounts for configurational heat capacity, entropy, and the effect of a strong electric field on the glass transition. The model is based on Pad{\'e}-truncated perturbation…

Soft Condensed Matter · Physics 2016-08-03 D. V. Matyushov

We utilize the lattice cluster theory (LCT) of polymer fluids to show that the configurational entropy, enthalpy, and internal energy are all closely interrelated, as suggested by recent measurements by Caruthers and Medvedev, so that the…

Soft Condensed Matter · Physics 2023-01-11 Xiaolei Xu , Jack F. Douglas , Wen-Sheng Xu

We examine the local geometry of a simulated glass-forming polymer melt. Using the Voronoi construction, we find that the distributions of Voronoi volume $P(v_V)$ and asphericity $P(a)$ appear to be universal properties of dense liquids,…

Condensed Matter · Physics 2009-11-07 Francis W. Starr , Srikanth Sastry , Jack F. Douglas , Sharon C. Glotzer

In this letter we introduced a new scaling method based on Adam-Gibbs model. Moreover, generalised critical-like expression of configurational entropy S_C (T)=S_0 (1-T_K/T)^n is used. Obtained values of pseudocritical exponent n seem to be…

Statistical Mechanics · Physics 2025-01-23 Szymon Starzonek , Aleksandra Drozd-Rzoska , Sylwester J. Rzoska

Generic glass formers exhibit at least two characteristic changes in their relaxation behavior, first to an Arrhenius-type relaxation at some characteristic temperature, and then at a lower characteristic temperature to a super-Arrhenius…

Disordered Systems and Neural Networks · Physics 2012-03-08 H. George E. Hentschel , Smarajit Karmakar , Itamar Procaccia , Jacques Zylberg

Many glass-forming fluids exhibit a remarkable thermodynamic scaling in which dynamic properties, such as the viscosity, the relaxation time, and the diffusion constant, can be described under different thermodynamic conditions in terms of…

Soft Condensed Matter · Physics 2015-06-16 Wen-Sheng Xu , Karl F. Freed

A major mystery of glass-forming liquids is the non-Arrhenius temperature-dependence of the average relaxation time. This paper briefly reviews the classical phenomenological models for this phenomenon - the free-volume model and the…

Condensed Matter · Physics 2015-06-25 Jeppe C. Dyre