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We identify a link between the glass transition and percolation of mobile regions in configuration space. We find that many hallmarks of glassy dynamics, for example stretched-exponential response functions and a diverging structural…

Statistical Mechanics · Physics 2009-11-13 Gregg Lois , Jerzy Blawzdziewicz , Corey S. O'Hern

The point-to-set correlation function has proved to be a very valuable tool to probe structural correlations in disordered systems, but more than that, its detailed behavior has been used to try to draw information on the mechanisms leading…

Disordered Systems and Neural Networks · Physics 2016-06-29 Giacomo Gradenigo , Roberto Trozzo , Andrea Cavagna , Tomas S. Grigera

We present a first-principles formalism for studying dynamical heterogeneities in glass forming liquids. Based on the Non-Equilibrium Self-Consistent Generalized Langevin Equation theory, we were able to describe the time-dependent local…

Soft Condensed Matter · Physics 2022-04-06 J. Lira-Escobedo , J. R. Velez-Cordero , Pedro E. Ramírez-González

Given the vast differences in interaction details, describing the dynamics of structurally disordered materials in a unified theoretical framework presents a fundamental challenge to condensed-matter physics and materials science. Here, we…

Soft Condensed Matter · Physics 2025-08-12 Liang Gao , Hai-Bin Yu , Thomas B. Schrøder , Jeppe C. Dyre

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

The fragility, that controls the temperature-dependent viscous properties of liquids as the glass transition is approached, in various glass-forming liquids with different atomic interactions and densities is investigated by molecular…

Soft Condensed Matter · Physics 2016-08-03 Lijin Wang , Pengfei Guan , W. H. Wang

We introduce the ideal Gaussian glass-forming system as a model to describe the thermodynamics and dynamics of supercooled liquids on a local scale in terms of the properties of the potential energy landscape (PEL). The first ingredient is…

Materials Science · Physics 2009-11-13 A. Heuer , A. Saksaengwijit

The dramatic slowdown of glass-forming liquids has been variously linked to increasing dynamic and static correlation lengths. Yet, empirical evidence is insufficient to decide among competing theories. The random first order theory (RFOT)…

Disordered Systems and Neural Networks · Physics 2010-02-25 C. Cammarota , A. Cavagna , G. Gradenigo , T. S. Grigera , P. Verrocchio

We propose a theory based on simple physical arguments that describes a non equilibrium steady-state by a temperature-like parameter (an "effective temperature"). We show how one can predict the effective temperature as a function of the…

Statistical Mechanics · Physics 2012-01-31 Ido Regev , Xiangdong Ding , Turab Lookman

The statistical mechanics of simple glass forming systems in 2 dimensions is worked out. The glass disorder is encoded via a Voronoi tessellation, and the statistical mechanics is performed directly in this encoding. The theory provides,…

Statistical Mechanics · Physics 2007-05-23 H. G. E. Hentschel , Valery Ilyin , Nataliya Makedonska , Itamar Procaccia , Nurith Schupper

We introduce a new quantity to probe the glass transition. This quantity is a linear generalized compressibility which depends solely on the positions of the particles. We have performed a molecular dynamics simulation on a glass forming…

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

For a three dimensional system we answer two questions, how simple a particle system might be to show the quasicrystal order and, what system features are the most important for quasicrystal formation? One-component system of particles with…

Soft Condensed Matter · Physics 2015-08-27 R. E. Ryltsev , B. A. Klumov , N. M. Chtchelkatchev

We explore the use of characteristic temperatures derived from molecular dynamics to predict aspects of metallic Glass Forming Ability (GFA). Temperatures derived from cooling curves of self-diffusion, viscosity, and energy were used as…

Materials Science · Physics 2021-09-29 Lane E. Schultz , Benjamin Afflerbach , Izabela Szlufarska , Dane Morgan

We show that for any liquid or solid with strong correlation between its $NVT$ virial and potential-energy equilibrium fluctuations, the temperature is a product of a function of excess entropy per particle and a function of density,…

Soft Condensed Matter · Physics 2012-03-13 Trond S. Ingebrigtsen , Lasse Bøhling , Thomas B. Schrøder , Jeppe C. Dyre

The theoretical framework for higher-order correlation functions involving multiple times and multiple points in a classical, many-body system developed by Van Zon and Schofield [Phys. Rev. E 65, 011106 (2002)] is extended here to include…

Statistical Mechanics · Physics 2007-05-23 Ramses van Zon , Jeremy Schofield

We report a systematic molecular dynamics study of the isochoric equilibration of hard-sphere fluids in their metastable regime close to the glass transition. The thermalization process starts with the system prepared in a non-equilibrium…

Lattice Boltzmann simulations have been very successful in simulating liquid-gas and other multi-phase fluid systems. However, the underlying second order analysis of the equation of motion has long been known to be insufficient to…

Soft Condensed Matter · Physics 2009-11-11 A. J. Wagner

Upon excitation by a laser pulse, broken-symmetry phases of a wide variety of solids demonstrate similar order parameter dynamics characterized by a dramatic slowing down of relaxation for stronger pump fluences. Motivated by this recurrent…

Other Condensed Matter · Physics 2020-05-13 Pavel E. Dolgirev , Marios H. Michael , Alfred Zong , Nuh Gedik , Eugene Demler

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

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