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We show that the various crossovers between dynamical regimes observed in experiments and simulations of supercooled liquids can be explained in simple terms from the existence and statistical properties of dynamical heterogeneities. We…

Statistical Mechanics · Physics 2009-11-10 Ludovic Berthier , Juan P. Garrahan

The limit of small entropy production is reached in relaxing systems long after preparation, and in stationary driven systems in the limit of small driving power. Surprisingly, for extended systems this limit is not in general the…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo , Jorge Kurchan

By performing molecular dynamics simulations of binary Lennard-Jones systems with three different potentials, we show that increase of anharmonicity and capacity for intermolecular coupling of the potential is the cause of (i) the increase…

Condensed Matter · Physics 2009-11-10 P. Bordat , F. Affouard , M. Descamps , K. L. Ngai

In this article, we develop a functional-analytic framework to establish existence, uniqueness, regularity of disintegration, and statistical properties of equilibrium states for a broad class of dynamical systems, potentially discontinuous…

Dynamical Systems · Mathematics 2026-02-20 Rafael Bilbao , Rafael Lucena

We present the dynamic propensity distribution as an explicit measure of the degree to which the dynamics in a liquid over the time scale of structural relaxation is determined by the initial configuration. We then examine, for a binary…

Statistical Mechanics · Physics 2009-01-27 Asaph Widmer-Cooper , Peter Harrowell

In this work we revisit the description of dynamics based on the concepts of metabasins and activation in mildly supercooled liquids via the analysis of the dynamics of a paradigmatic glass former between its onset temperature $T_{o}$ and…

Soft Condensed Matter · Physics 2021-06-15 Marco Baity-Jesi , Giulio Biroli , David R. Reichman

Of the many different kinds of glassy states found in nature, spin glasses and structural glasses (e.g. normal window glass) have probably received the most attention. One of the central questions concerning the glassy state is whether the…

Superconductivity · Physics 2015-06-25 Rolf Lortz , Christoph Meingast , Alexandre I. Rykov , Setsuko Tajima

The main cause of the fragile-to-strong crossover of 3D silica was previously attributed to the presence of a low energy cutoff in the potential energy landscape. The important question emerges about the microscopic origin of this crossover…

Disordered Systems and Neural Networks · Physics 2022-10-17 Projesh Kumar Roy , Andreas Heuer

According to excess-entropy scaling, dynamic properties of liquids like viscosity and diffusion coefficient are determined by the entropy. This link between dynamics and thermodynamics is increasingly studied and of interest also for…

Soft Condensed Matter · Physics 2024-08-13 Ian M. Douglass , Jeppe C. Dyre , Lorenzo Costigliola

Using the inherent structure formalism originally proposed by Stillinger and Weber [Phys. Rev. A 25, 978 (1982)], we generalize the thermodynamics of an energy landscape that has an ideal glass transition and derive the consequences for its…

Soft Condensed Matter · Physics 2009-11-07 M. S. Shell , P. G. Debenedetti , E. La Nave , F. Sciortino

For a model glass-former we demonstrate via computer simulations how macroscopic dynamic quantities can be inferred from a PEL analysis. The essential step is to consider whole superstructures of many PEL minima, called metabasins, rather…

Statistical Mechanics · Physics 2009-11-10 Burkhard Doliwa , Andreas Heuer

Liquid water is well-known for its intriguing thermodynamic anomalies in the supercooled state. The phenomenological two-state models - based on the assumption of the existence of two types of competing local states (or, structures) in…

Chemical Physics · Physics 2022-11-23 Arijit Mondal , Gadha R. , Rakesh S. Singh

Interconnected networks describe the dynamics of important systems in a wide range such as biological systems and electrical power grids. Some important features of these systems were successfully studied and understood through simplified…

Systems and Control · Computer Science 2016-03-18 Thanh Long Vu , Konstantin Turitsyn

Dynamic heterogeneity as one of the most important properties in supercooled liquids has been found for several decades. However, its structural origin remains open for many systems. Here, we propose a new structural parameter to…

Disordered Systems and Neural Networks · Physics 2015-10-16 S. P. Pan , S. D. Feng , J. W. Qiao , W. M. Wang , J. Y. Qin

Recent work suggests that Heisenberg spin glasses may belong to the same universality class than structural glasses. Indeed, finding a lattice equivalent for supercooled liquids would probably allow easier numerical and analytical studies,…

Disordered Systems and Neural Networks · Physics 2015-03-31 Marco Baity-Jesi

Polydispersity is found to have a significant effect on the potential energy landscape; the the average inherent structure energy with temperature decreases with polydispersity. Increasing polydispersity at fixed volume fraction decreases…

Soft Condensed Matter · Physics 2009-11-13 Sneha Elizabeth Abraham , Sarika Maitra Bhattacharrya , Biman Bagchi

The Random First Order Transition (RFOT) theory of glasses provides a unified framework for explaining the observed correlations of the kinetic and thermodynamic behaviors of glass-forming liquids having a wide variety of chemical…

Soft Condensed Matter · Physics 2025-07-29 M. H. Brown , P. G. Wolynes

Macroscopic thermodynamics, via the weak coupling approximation, assumes that the equi?librium properties of a system are not affected by interactions with its environment. However, this assumption may not hold for quantum systems, where…

Quantum Physics · Physics 2023-05-23 Z. Abuali , F. H. Kamin , R. J. S. Afonso , D. O. Soares-Pinto , S. Salimi

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

In molecular discovery and drug design, structure-property relationships and activity landscapes are often qualitatively or quantitatively analyzed to guide the navigation of chemical space. The roughness (or smoothness) of these molecular…

Quantitative Methods · Quantitative Biology 2022-10-13 Matteo Aldeghi , David E. Graff , Nathan Frey , Joseph A. Morrone , Edward O. Pyzer-Knapp , Kirk E. Jordan , Connor W. Coley