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Molecular fluids show rich and complicated dynamics close to the glass transition. Some of these observations are related to the fact that translational and orientational degrees of freedom couple in nontrivial ways. A model system which…

Soft Condensed Matter · Physics 2017-08-23 M. Letz , R. Schilling

We study the thermodynamics of a model of pancake vortices in layered superconductors. The model is based on the effective pair potential for the pancake vortices derived from the London approximation of a version of the Lawrence-Doniach…

Superconductivity · Physics 2009-11-07 Joonhyun Yeo , M. A. Moore

In this paper we review a recent proposal to understand the long time limit of glassy dynamics in terms of an appropriate Markov Chain. [1]. The advantages of the resulting construction are many. The first one is that it gives a quasi…

Disordered Systems and Neural Networks · Physics 2016-04-19 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Pierfrancesco Urbani

The critical behaviour of the dynamical transition of glassy system is controlled by a Replica Symmetric action with n=1 replicas. The most divergent diagrams in the loop expansion correspond at all orders to the solutions of a stochastic…

Statistical Mechanics · Physics 2011-05-27 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

We study structural and thermophysical properties of a one-dimensional classical fluid made of penetrable spheres interacting via an attractive square-well potential. Penetrability of the spheres is enforced by reducing from infinite to…

Soft Condensed Matter · Physics 2009-09-24 Riccardo Fantoni , Achille Giacometti , Alexandr Malijevský , Andrés Santos

The two-body interaction in dilute solutions of polymer chains in good solvents can be modeled by means of effective bounded potentials, the simplest of which being that of penetrable spheres (PSs). In this paper we construct two simple…

Soft Condensed Matter · Physics 2007-08-19 Alexandr Malijevsky , Santos B. Yuste , Andres Santos

The glass transition can simply be viewed as the point at which the viscosity of a structurally disordered liquid reaches 10^{13} Poise [1]. This definition is operational but it sidesteps fundamental controversies about the glass: Is the…

Statistical Mechanics · Physics 2017-05-10 Ludger Santen , Werner Krauth

We show the existence of fragile-to-strong transitions in kinetically constrained systems by studying the equilibrium and out-of-equilibrium dynamics of a generic constrained Ising spin chain which interpolates between the symmetric and…

Statistical Mechanics · Physics 2009-11-07 Arnaud Buhot , Juan P. Garrahan

For hard ellipsoids of revolution we calculate the phase diagram for the idealized glass transition. Our equations cover the glass physics in the full phase space, for all packing fractions and all aspect ratios X$_0$. With increasing…

Soft Condensed Matter · Physics 2009-10-31 M. Letz , R. Schilling , A. Latz

We use dynamic light scattering and computer simulations to study equilibrium dynamics and dynamic heterogeneity in concentrated suspensions of colloidal hard spheres. Our study covers an unprecedented density range and spans seven decades…

Upon heating, ultrastable glassy films transform into liquids via a propagating equilibration front, resembling the heterogeneous melting of crystals. A microscopic understanding of this robust phenomenology is however lacking because…

Statistical Mechanics · Physics 2023-09-20 Cecilia Herrero , Mark D. Ediger , Ludovic Berthier

The Monte Carlo carbyne model is modified to investigate the glass transition of the semi-flexible entangled polymer chains. The stochastic bombardment between monomers are monitored by Metropolis algorithm with help of the consideration of…

Computational Physics · Physics 2018-10-17 C. H. Wong , L. Xue , E. A. Buntov , A. F. Zatsepin

We study the equilibrium thermodynamics of quantum hard spheres in the infinite-dimensional limit, determining the boundary between liquid and glass phases in the temperature-density plane by means of the Franz-Parisi potential. We find…

Statistical Mechanics · Physics 2023-11-10 Michael Winer , Christopher L. Baldwin , Richard Barney , Victor Galitski , Brian Swingle

This study introduces a modeling approach aimed at elucidating the pivotal role of symmetry in phase transitions, focusing specifically on the isotropic-nematic (I-N) transition characteristic of liquid crystal systems. By leveraging…

Soft Condensed Matter · Physics 2025-01-22 Szymon Starzonek , Aleš Iglič , Aleksandra Drozd-Rzoska , Sylwester J. Rzoska

The phase diagram of a polydisperse hard sphere system is examined by numerical minimization of a discretized form of the Ramakrishnan-Yussouff free energy functional. Crystalline and glassy local minima of the free energy are located and…

Statistical Mechanics · Physics 2010-05-07 Pinaki Chaudhuri , Smarajit Karmakar , Chandan Dasgupta , H. R. Krishnamurthy , A. K. Sood

We analyze the phase diagram of a model of hard spheres of chemical radius one, which is defined over a generalized Bethe lattice containing short loops. We find a liquid, two different crystalline, a glassy and an unusual crystalline…

Statistical Mechanics · Physics 2009-11-11 Hendrik Hansen-Goos , Martin Weigt

The focus of the present work is the application of the random phase approximation (RPA), derived for inhomogeneous fluids [Frydel and Ma, Phys. Rev. E 93, 062112 (2016)], to penetrable-spheres. As penetrable-spheres transform into…

Statistical Mechanics · Physics 2017-05-17 Yan Xiang , Derek Frydel

We use computer simulations to investigate the static properties of a simple glass-forming fluid in which the positions of a finite fraction of the particles has been frozen in. By probing the equilibrium distribution of the overlap between…

Disordered Systems and Neural Networks · Physics 2015-06-12 Walter Kob , Ludovic Berthier

We study the glass transition by exploring a broad class of kinetic rules that can significantly modify the normal dynamics of super-cooled liquids, while maintaining thermal equilibrium. Beyond the usual dynamics of liquids, this class…

Soft Condensed Matter · Physics 2024-06-14 Cristina Gavazzoni , Carolina Brito , Matthieu Wyart

At the microscopic level, equilibrium liquid's translational symmetry is spontaneously broken at the so-called dynamic glass transition predicted by the mean-field replica approach. We show that this fact implies the emergence of Goldstone…

Statistical Mechanics · Physics 2015-05-28 Grzegorz Szamel , Elijah Flenner
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