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We investigate the relation between fragility and phase space properties - such as the distribution of states - in the mean field p-spin model, a solvable model that has been frequently used in studies of the glass transition. By direct…

Disordered Systems and Neural Networks · Physics 2009-11-10 G. Parisi , G. Ruocco , F. Zamponi

A geometrically frustrated (GF) magnet consists of localised magnetic moments, spins, whose orientation cannot be arranged to simultaneously minimise their interaction energies. Such materials may host novel fascinating phases of matter,…

Strongly Correlated Electrons · Physics 2022-06-08 S. V. Syzranov , A. P. Ramirez

We introduce a finite-connectivity ferromagnetic model with a three-spin interaction which has a crystalline (ferromagnetic) phase as well as a glass phase. The model is not frustrated, it has a ferromagnetic equilibrium phase at low…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. Franz , M. Mezard , F. Ricci-Tersenghi , M. Weigt , R. Zecchina

Glass is a microscopically disordered, solid form of matter that results when a fluid is cooled or compressed in such a fashion that it does not crystallise. Almost all types of materials are capable of glass formation -- polymers, metal…

Statistical Mechanics · Physics 2009-10-31 Srikanth Sastry

We study a three-dimensional plaquette spin model whose low temperature dynamics is glassy, due to localised defects and effective kinetic constraints. While the thermodynamics of this system is smooth at all temperatures, we show that…

Statistical Mechanics · Physics 2016-02-10 Robert L. Jack , Juan P. Garrahan

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

Diffusivity, a measure for how rapidly a fluid self-mixes, shows an intimate, but seemingly fragmented, connection to thermodynamics. On one hand, the "configurational" contribution to entropy (related to the number of mechanically-stable…

Statistical Mechanics · Physics 2007-05-23 Jeetain Mittal , Jeffrey R. Errington , Thomas M. Truskett

Studies of low-frequency resistance noise demonstrate that glassy freezing occurs in a two-dimensional electron system in silicon in the vicinity of the metal-insulator transition (MIT). The width of the metallic glass phase, which…

Strongly Correlated Electrons · Physics 2009-11-10 D. Popovic , S. Bogdanovich , J. Jaroszynski , T. M. Klapwijk

In this Perspective, I describe recent work on systems in which the traditional distinctions between (i) unentangled vs. well-entangled systems and (ii) melts vs. glasses seem least useful, and argue for the broader use in glassy polymer…

Soft Condensed Matter · Physics 2015-05-27 Robert S. Hoy

We numerically study a disordered model for the RNA secondary structure and we find that it undergoes a phase transition, with a breaking of the replica symmetry in the low temperature region (like in spin glasses). Our results are based on…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Pagnani , G. Parisi , F. Ricci-Tersenghi

The dramatic slowdown of dynamics in supercooled liquids approaching the glass transition remains one of the central unresolved problems in condensed matter physics. We review approaches that attribute this slowdown to growing thermodynamic…

Soft Condensed Matter · Physics 2026-03-06 Massimo Pica Ciamarra , Jeppe C. Dyre , Edan Lerner , Matthieu Wyart

In a glassy system different degrees of freedom have well-separated characteristic times, and are described by different temperatures. The stationary state is essentially non-equilibrium. A generalized statistical thermodynamics is…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

This paper deals with the stochastic Ising model with a temperature shrinking to zero as time goes to infinity. A generalization of the Glauber dynamics is considered, on the basis of the existence of simultaneous flips of some spins. Such…

Probability · Mathematics 2017-01-20 Roy Cerqueti , Emilio De Santis

We give a short introduction to the inherent structure approach, with particular emphasis on the Stillinger and Weber decomposition, of glassy systems. We present some of the results obtained in the framework of spin-glass models and…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. Crisanti , F. Ritort

We present simulation results for the dynamics of a schematic model based on the frustration-limited domain picture of glass-forming liquids. These results are compared with approximate theoretical predictions analogous to those commonly…

Statistical Mechanics · Physics 2009-11-10 Phillip L. Geissler , David R. Reichman

Highly frustrated systems have macroscopically degenerate ground states that lead to novel properties. In magnetism its consequences underpin exotic and technologically important effects, such as, high temperature superconductivity,…

Strongly Correlated Electrons · Physics 2007-05-23 W. Bisson , A. S. Wills

A model of low-temperature polar liquids is constructed that accounts for configurational heat capacity, entropy, and the effect of a strong electric field on the glass transition. The model is based on Pad{\'e}-truncated perturbation…

Soft Condensed Matter · Physics 2016-08-03 D. V. Matyushov

Understanding the dynamics of strongly interacting disordered quantum systems is one of the most challenging problems in modern science, due to features such as the breakdown of thermalization and the emergence of glassy phases of matter.…

Quantum Physics · Physics 2021-01-27 A. Signoles , T. Franz , R. Ferracini Alves , M. Gärttner , S. Whitlock , G. Zürn , M. Weidemüller

We propose that an onset of glass transition can be defined as the point at which a supercooled liquid acquires the stress relaxation mechanism of a solid glass. We translate this condition into the rate equation for local relaxation…

Materials Science · Physics 2009-11-11 Kostya Trachenko

The dynamics of many glassy systems are known to exhibit string-like hopping motions each consisting of a line of particles displacing one and other. By using molecular dynamics simulations of glassy polymers, we show that these motions…

Statistical Mechanics · Physics 2021-06-29 Chi-Hang Lam