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We review recent developments in structural-dynamical phase transitions in trajectory space. An open question is how the dynamic facilitation theory of the glass transition may be reconciled with thermodynamic theories that posit a…

Statistical Mechanics · Physics 2020-08-04 C. Patrick Royall , Francesco Turci , Thomas Speck

In a sheared steady state, glasses reach a nonequilibrium criticality called yielding. In this letter, we report that the qualitative nature of this nonequilibrium critical phenomenon depends on the details of the system and that responses…

Soft Condensed Matter · Physics 2023-10-17 Norihiro Oyama , Takeshi Kawasaki , Kang Kim , Hideyuki Mizuno

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

Glass-to-glass and liquid-to-liquid phase transitions were observed many years ago in bulk and confined water with or without applied pressure. It is shown that they result from the competition of two-liquid phases separated by an enthalpy…

Disordered Systems and Neural Networks · Physics 2017-03-21 Robert F Tournier

The glass transition is investigated in three dimensions for single and double Yukawa potentials for the full range of control parameters. For vanishing screening parameter, the limit of the one-component plasma is obtained; for large…

We derive generic properties of nonequilibrium phase transitions in all-to-all Ising models placed in contact with two thermal reservoirs, in which parameters (temperatures, interactions and field parameters) assume arbitrary values…

Statistical Mechanics · Physics 2026-04-03 Iago N. Mamede , Bart Cleuren , Carlos. E. Fiore

Ultrastable glasses have risen to prominence due to their potentially useful material properties and the tantalizing possibility of a general method of preparation via vapor deposition. Despite the importance of this novel class of…

Statistical Mechanics · Physics 2014-12-09 Glen M Hocky , Ludovic Berthier , David R. Reichman

A solid state electronic nanodevice is an intrinsically open quantum system, exchanging both energy with the host material and carriers with connected reservoirs. Its out-of-equilibrium behavior is determined by a non-trivial interplay…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Fabrizio Dolcini , Rita Claudia Iotti , Fausto Rossi

We recently showed that the two-dimensional Ising spin glass allows for a line of renormalization group fixed points which explains properties observed in numerical studies. We observe that this exact result corresponds to enhancement to a…

Statistical Mechanics · Physics 2026-04-15 Gesualdo Delfino

We show numeric evidence that, at low enough temperatures, the potential energy density of a glass-forming liquid fluctuates over length scales much larger than the interaction range. We focus on the behavior of translationally invariant…

Soft Condensed Matter · Physics 2009-04-21 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

Using a notion on the excess entropy of glass with respect to the counterpart crystal, we introduce a simple dimensionless order parameter $\xi$, which changes from $\xi \rightarrow 0$ to $\xi \rightarrow 1$. The former case corresponds to…

Disordered Systems and Neural Networks · Physics 2023-08-04 A. S. Makarov , G. V. Afonin , R. A. Konchakov , V. A. Khonik , J. C. Qiao , A. N. Vasiliev , N. P. Kobelev

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

Recent ideas based on the properties of assemblies of frictionless particles in mechanical equilibrium provide a perspective of amorphous systems different from that offered by the traditional approach originating in liquid theory. The…

Statistical Mechanics · Physics 2009-07-09 R. Mari , F. Krzakala , J. Kurchan

The nature of the glass transition is theoretically understood in the mean-field limit of infinite spatial dimensions, but the problem remains totally open in physical dimensions. Nontrivial finite-dimensional fluctuations are hard to…

Statistical Mechanics · Physics 2019-04-05 Ludovic Berthier , Patrick Charbonneau , Andrea Ninarello , Misaki Ozawa , Sho Yaida

We have considered the dynamical evolution of cellular patterns controlled by a stochastic Glauber process determined by the deviations of local cell topology from that of a crystalline structure. Above a critical temperature evolution is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tomaso Aste , David Sherrington

The collective behaviour of statistical systems close to critical points is characterized by an extremely slow dynamics which, in the thermodynamic limit, eventually prevents them from relaxing to an equilibrium state after a change in the…

Statistical Mechanics · Physics 2009-07-13 Andrea Gambassi

Supercooled liquid state is a particularly interesting state in that it exhibits several unusual physical properties. To illustrate, the liquid displays a single peak relaxation frequency at high temperatures, which splits into $\alpha$…

Soft Condensed Matter · Physics 2024-12-17 Wenlong Jiang

Thermodynamic length is a metric distance between equilibrium thermodynamic states that asymptotically bounds the dissipation induced by a finite time transformation of a thermodynamic system. By means of thermodynamic length, we first…

Statistical Mechanics · Physics 2022-01-27 Carlo Cafaro , Orlando Luongo , Stefano Mancini , Hernando Quevedo

We analyse numerically thermal fluctuations of the static overlap between equilibrium configurations in a glass-forming liquid approaching the glass transition. We find that the emergence of slow dynamics near the onset temperature…

Statistical Mechanics · Physics 2013-08-23 Ludovic Berthier

Glasses encode the memory of any thermo-mechanical treatment applied to them. This ability is associated to the existence of a myriad of metastable amorphous states which can be probed through different experimental pathways. It is usually…

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