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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

The configurational entropy is among the key observables to characterize experimentally the formation of a glass. Physically, it quantifies the multiplicity of metastable states in which an amorphous material can be found at a given…

Statistical Mechanics · Physics 2014-08-21 Ludovic Berthier , Daniele Coslovich

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

Computer simulations have been employed in recent years to evaluate the configurational entropy changes in model glass-forming liquids. We consider two methods, both of which involve the calculation of the `intra-basin' entropy as a means…

Statistical Mechanics · Physics 2009-10-31 Srikanth Sastry

We propose a computational method to measure the configurational entropy in generic polydisperse glass-formers. In particular, our method resolves issues related to the diverging mixing entropy term due to a continuous polydispersity. The…

Statistical Mechanics · Physics 2018-11-09 Misaki Ozawa , Giorgio Parisi , Ludovic Berthier

When a liquid is cooled below its melting temperature, if crystallization is avoided, it forms a glass. This phenomenon, called glass transition, is characterized by a marked increase of viscosity, about 14 orders of magnitude, in a narrow…

Disordered Systems and Neural Networks · Physics 2008-08-23 Simone Capaccioli , Giancarlo Ruocco , Francesco Zamponi

We compute the low-temperature configurational entropy of a two-dimensional supercooled liquid. Our method, based on a higher-dimensional version of the Grassberger--Procaccia algorithm, can be implemented in a manner that is entirely…

Statistical Mechanics · Physics 2026-05-29 Nina Javerzat , Gerhard Jung , Jorge Kurchan , Misaki Ozawa

We consider the effect of droplet excitations in the random first order transition theory of glasses on the configurational entropy. The contribution of these excitations is estimated both at and above the ideal glass transition…

Statistical Mechanics · Physics 2009-11-07 M. P. Eastwood , P. G. Wolynes

We connect the configurational entropy of a liquid to the geometrical properties of its local energy landscape, using a high-temperature expansion. It is proposed that correlations between local structures arises from their overlap and,…

Soft Condensed Matter · Physics 2016-08-24 Pierre Ronceray , Peter Harrowell

The inherent structure approach, wherein thermodynamic and structural changes in glass forming liquids are analyzed in terms of local potential energy minima that the liquid samples, has recently been applied extensively to the study of…

Statistical Mechanics · Physics 2007-05-23 Srikanth Sastry

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

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 numerically calculate the configurational entropy S_conf of a binary mixture of hard spheres, by using a perturbed Hamiltonian method trapping the system inside a given state, which requires less assumptions than the previous methods…

Disordered Systems and Neural Networks · Physics 2015-06-25 L. Angelani , G. Foffi

A popular Adam--Gibbs scenario has suggested that the excess entropy of glass and liquid over crystal dominates the dynamical arrest at the glass transition with exclusive contribution from configurational entropy over vibrational entropy.…

Soft Condensed Matter · Physics 2020-02-05 Dong Han , Dan Wei , Jie Yang , Hui-Ling Li , Min-Qiang Jiang , Yun-Jiang Wang , Lan-Hong Dai , Alessio Zaccone

Controversy exists regarding the possible existence of a transition between the liquid and glassy states of water. Here we use experimental measurements of the entropy, specific heat, and enthalpy of both liquid and glassy water to…

Condensed Matter · Physics 2007-05-23 Francis W. Starr , C. Austen Angell , Robin J. Speedy , H. Eugene Stanley

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

Classical particle systems characterized by continuous size polydispersity, such as colloidal materials, are not straightforwardly described using statistical mechanics, since fundamental issues may arise from particle distinguishability.…

Statistical Mechanics · Physics 2017-01-16 Misaki Ozawa , Ludovic Berthier

It is often stated that if one is presented with a snapshot of the positions of the molecules of a glass and one of a liquid, one is unable to tell the difference. Here we argue instead that given several such snapshots taken over a…

Disordered Systems and Neural Networks · Physics 2024-02-08 Ittai Fraenkel , Jorge Kurchan , Dov Levine

We explore the nature of glass-formation in variable spatial dimensionality ($d$) based on the generalized entropy theory, a synthesis of the Adam-Gibbs model with direct computation of the configurational entropy of polymer fluids using an…

Soft Condensed Matter · Physics 2016-11-09 Wen-Sheng Xu , Jack F. Douglas , Karl F. Freed

Truly stable metastable states are an artifact of the mean-field approximation or the zero temperature limit. If such appealing concepts in glass theory as configurational entropy are to have a meaning beyond these approximations, one needs…

Statistical Mechanics · Physics 2016-08-31 Giulio Biroli , Jorge Kurchan
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