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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…

无序系统与神经网络 · 物理学 2014-12-17 T. R. Kirkpatrick , D. Thirumalai

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…

无序系统与神经网络 · 物理学 2012-10-11 C. Cammarota , G. Biroli , M. Tarzia , G. Tarjus

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…

无序系统与神经网络 · 物理学 2009-12-15 G. Biroli , J. P. Bouchaud

We analyze the ways in which the random first order phase transition (RFOT) of the glass transition differs from the well-studied regular first order and second order (or continuous) phase transitions. Just as is the case in the latter two…

统计力学 · 物理学 2024-09-23 T. R. Kirkpatrick , D. Thirumalai

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…

统计力学 · 物理学 2016-08-03 Saurish Chakrabarty , Rajsekhar Das , Smarajit Karmakar , Chandan Dasgupta

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…

无序系统与神经网络 · 物理学 2015-11-20 Vassiliy Lubchenko

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…

统计力学 · 物理学 2015-06-12 Hongsuk Kang , T. R. Kirkpatrick , D. Thirumalai

We review the use of kinetically constrained models (KCMs) for the study of dynamics in glassy systems. The characteristic feature of KCMs is that they have trivial, often non-interacting, equilibrium behaviour but interesting slow dynamics…

统计力学 · 物理学 2007-05-23 Felix Ritort , Peter Sollich

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…

无序系统与神经网络 · 物理学 2022-08-12 Giulio Biroli , Jean-Philippe Bouchaud

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…

软凝聚态物质 · 物理学 2015-05-20 K. Hima Nagamanasa , Shreyas Gokhale , A. K. Sood , Rajesh Ganapathy

Kinetically constrained models (KCMs) have been used to study and understand the origin of glassy dynamics. Despite having trivial thermodynamic properties, their dynamics slows down dramatically at low temperatures while displaying…

统计力学 · 物理学 2011-07-01 Thomas Speck , Juan P. Garrahan

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…

无序系统与神经网络 · 物理学 2024-02-23 Jean-Philippe Bouchaud

We consider the theory of the glass phase and jamming of hard spheres in the large space dimension limit. Building upon the exact expression for the free-energy functional obtained previously, we find that the Random First Order Transition…

统计力学 · 物理学 2013-12-02 Jorge Kurchan , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

We show that the dynamics of kinetically constrained models of glass formers takes place at a first-order coexistence line between active and inactive dynamical phases. We prove this by computing the large-deviation functions of suitable…

统计力学 · 物理学 2009-11-13 J. P. Garrahan , R. L. Jack , V. Lecomte , E. Pitard , K. van Duijvendijk , F. van Wijland

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…

软凝聚态物质 · 物理学 2025-07-29 M. H. Brown , P. G. Wolynes

The number of compact structures of a single condensed polymer (SCP), with similar free energies, grows exponentially with the degree of polymerization. In analogy with structural glasses (SGs), we expect that at low temperatures chain…

软凝聚态物质 · 物理学 2021-04-07 Hyun Woo Cho , Guang Shi , T. R. Kirkpatrick , D. Thirumalai

We define a new family of random spin models with one-dimensional structure, finite-range multi-spin interactions, and bounded average degree (number of interactions in which each spin participates). Unfrustrated ground states can be…

统计力学 · 物理学 2009-04-13 Andrea Montanari , Antoine Sinton

Dense active matter, in the fluid or amorphous-solid form, has generated intense interest as a model for the dynamics inside living cells and multicellular systems. An extension of the random first-order transition theory (RFOT) to include…

软凝聚态物质 · 物理学 2021-02-16 Rituparno Mandal , Saroj Kumar Nandi , Chandan Dasgupta , Peter Sollich , Nir S. Gov

There are deep analogies between the melting dynamics in systems with a first order phase transition and the dynamics from equilibrium in super-cooled liquids. For a class of Ising spin models undergoing a first order transition - namely…

统计力学 · 物理学 2011-01-25 Florent Krzakala , Lenka Zdeborová

The Random First Order Transition Theory (RFOT) predicts that transport proceeds by cooperative movement of particles in domains whose sizes increase as a liquid is compressed above a characteristic volume fraction, $\phi_d$. The rounded…

软凝聚态物质 · 物理学 2024-12-24 Rajsekhar Das , T. R. Kirkpatrick , D. Thirumalai
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