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The random first-order transition (RFOT) theory of the structural glass transition is reviewed in a pedagogical fashion. The rigidity that emerges in crystals and glassy liquids is of the same fundamental origin. In both cases, it…

Disordered Systems and Neural Networks · Physics 2015-11-20 Vassiliy Lubchenko

The routine transformation of a liquid, as it is cooled rapidly, resulting in glass formation, is remarkably complex. A theoretical explanation of the dynamics associated with this process has remained one of the major unsolved problems in…

Disordered Systems and Neural Networks · Physics 2014-12-17 T. R. Kirkpatrick , D. Thirumalai

The aim of this paper is to summarise the basic arguments and the intuition bolstering the RFOT picture for glasses, based on a finite dimensional extension of mean-field models with an exponentially large number of metastable states. We…

Disordered Systems and Neural Networks · Physics 2009-12-15 G. Biroli , J. P. Bouchaud

Extensive computer simulations are performed for a few model glass-forming liquids in both two and three dimensions to study their dynamics when a randomly chosen fraction of particles are frozen in their equilibrium positions. For all the…

Statistical Mechanics · Physics 2016-08-03 Saurish Chakrabarty , Rajsekhar Das , Smarajit Karmakar , Chandan Dasgupta

We investigate the glass and the jamming transitions of hard spheres in finite dimensions $d$, through a revised cell theory, that combines the free volume and the Random First Order Theory (RFOT). Recent results show that in infinite…

Soft Condensed Matter · Physics 2018-01-01 Antonio Coniglio , Massimo Pica Ciamarra , Tomaso Aste

The Random First Order Transition (RFOT) theory started with the pioneering work of Kirkpatrick, Thirumalai and Wolynes. It leverages the methods and advances of the theory of disordered systems. It fares remarkably well at reproducing the…

Disordered Systems and Neural Networks · Physics 2022-08-12 Giulio Biroli , Jean-Philippe Bouchaud

The steep increase of the relaxation time of glass forming liquids upon cooling is traditionally ascribed to an impending entropy crisis: since the system has "nowhere to go", dynamics must come to a halt. This classic argument, due to Adam…

Disordered Systems and Neural Networks · Physics 2024-02-23 Jean-Philippe Bouchaud

At the mean-field level, on fully connected lattices, several disordered spin models have been shown to belong to the universality class of "structural glasses", with a "random first-order transition" (RFOT) characterized by a discontinuous…

Disordered Systems and Neural Networks · Physics 2012-10-11 C. Cammarota , G. Biroli , M. Tarzia , G. Tarjus

While the transformation of flowing liquids into rigid glasses is omnipresent, a complete understanding of vitrification remains elusive. Of the numerous approaches aimed at solving the glass transition problem, the Random First-Order…

Soft Condensed Matter · Physics 2015-05-20 K. Hima Nagamanasa , Shreyas Gokhale , A. K. Sood , Rajesh Ganapathy

We use Brownian dynamics simulations of a binary mixture of highly charged spherical colloidal particles to illustrate many of the implications of the Random First Order Transition (RFOT) theory (PRA 40 1045 (1989)), which is the only…

Statistical Mechanics · Physics 2015-06-12 Hongsuk Kang , T. R. Kirkpatrick , D. Thirumalai

In this paper we revisit and extend the mapping between two apparently different classes of models. The first class contains the prototypical models described --at the mean-field level-- by the Random First Order Transition (RFOT) theory of…

Statistical Mechanics · Physics 2012-06-29 Laura Foini , Florent Krzakala , Francesco Zamponi

Colloidal particles, which are ubiquitous, have become ideal testing grounds for the structural glass transition (SGT) theories. In these systems glassy behavior is manifested as the density of the particles is increased. Thus, soft…

Soft Condensed Matter · Physics 2020-03-25 Hyun Woo Cho , Mauro L. Mugnai , T. R. Kirkpatrick , D. Thirumalai

According to the Random First Order Transition (RFOT) theory of glasses, the barriers for activated dynamics in supercooled liquids vanish as the temperature of a viscous liquid approaches the dynamical transition temperature from below.…

Disordered Systems and Neural Networks · Physics 2009-11-10 Vassiliy Lubchenko , Peter G. Wolynes

In these notes we introduce briefly the fundamentals of the replica method in the context of liquid theory and the structural glass problem. In particular, we explain and show its usefulness as a computation framework in the context of the…

Soft Condensed Matter · Physics 2015-04-14 Corrado Rainone

Dynamics near the surface of glasses is generally much faster than in the bulk. Neglecting static perturbations of structure at the surface, we use random first order transition theory to show the free energy barrier for activated motion…

Soft Condensed Matter · Physics 2009-11-13 Jacob D. Stevenson , Peter G. Wolynes

A unified treatment of structural relaxation in a deeply supercooled glassy liquid is developed which extends the existing mode coupling theory (MCT) by incorporating the effects of activated events by using the concepts from the random…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sarika Maitra Bhattacharyya , Biman Bagchi , Peter G. Wolynes

How does nonequilibrium activity modify the approach to a glass? This is an important question, since many experiments reveal the near-glassy nature of the cell interior, remodelled by activity. However, different simulations of dense…

Soft Condensed Matter · Physics 2018-08-28 Saroj Kumar Nandi , Rituparno Mandal , Pranab Jyoti Bhuyan , Chandan Dasgupta , Madan Rao , Nir. S. Gov

We review the Random First Order Transition Theory of the glass transition, emphasizing the experimental tests of the theory. Many distinct phenomena are quantitatively predicted or explained by the theory, both above and below the glass…

Disordered Systems and Neural Networks · Physics 2015-06-25 Vassiliy Lubchenko , P. G. Wolynes

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

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
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