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Glass transitions are widely observed in various types of soft matter systems. However, the physical mechanism of these transitions remains {elusive}, despite years of ambitious research. In particular, an important unanswered question is…

Disordered Systems and Neural Networks · Physics 2022-12-20 Norihiro Oyama , Shihori Koyama , Takeshi Kawasaki

Understanding the mechanical properties of glasses remains elusive since the glass transition itself is not fully understood, even in well studied examples of glass formers in two dimensions. In this context we demonstrate here: (i) a…

Metallic glasses possess outstanding mechanical and physical properties, making them promising candidates for advanced structural and functional applications; however, the lack of understanding and control over their glass transition and…

Soft Condensed Matter · Physics 2025-06-04 Wei Chu , Zheng Wang , Christopher Ness , Konrad Samwer , Alessio Zaccone , Lina Hu

Rigidity Percolation is studied analytically on randomly bonded networks with two types of nodes, respectively with coordination numbers $z_1$ and $z_2$, and with $g_1$ and $g_2$ degrees of freedom each. For certain cases that model…

Disordered Systems and Neural Networks · Physics 2015-06-17 Cristian F. Moukarzel

In this letter we show how to perform a systematic perturbative approach for the mode-coupling theory. The results coincide with those obtained via the replica approach. The upper critical dimension turns out to be always 8 and the…

Disordered Systems and Neural Networks · Physics 2010-01-13 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

Numerical simulations on Ising Spin Glasses show that spin glass transitions do not obey the usual universality rules which hold at canonical second order transitions. On the other hand the dynamics at the approach to the transition appear…

Disordered Systems and Neural Networks · Physics 2015-06-25 L. W. Bernardi , N. Lemke , P. O. Mari , I. A. Campbell , A. Alegria , J. Colmenero

We analyze the nucleation of supersolid order out of the superfluid ground state of bosons on the triangular lattice. While the stability of supersolidity against phase separation in this system is by now well established for…

Quantum Gases · Physics 2012-01-20 Lars Bonnes , Stefan Wessel

We use computer simulations to study the glass transition of dense fluids made of polydisperse, repulsive spheres. For hard particles, we vary the volume fraction, phi, and use compressible particles to explore finite temperatures, T>0. In…

Statistical Mechanics · Physics 2009-08-25 Ludovic Berthier , Thomas A. Witten

We propose a method to study quantitatively the glass transition in a system of interacting particles. In spite of the absence of any quenched disorder, we introduce a replicated version of the hypernetted chain equations. The solution of…

Condensed Matter · Physics 2009-10-28 Marc Mezard , Giorgio Parisi

In this paper we study the glass transition in a model of identical hard spheres, focusing on the two dimensional case. In the mean-field limit the model exhibits an ideal glass transition of the same nature of that found in discontinuous…

Statistical Mechanics · Physics 2007-05-23 M. Tarzia

Recent theories predict that when a supercooled liquid approaches the glass transition, particle clusters with a special "amorphous order" nucleate within the liquid, which lead to static correlations dictating the dramatic slowdown of…

Soft Condensed Matter · Physics 2016-03-04 Bo Zhang , Xiang Cheng

The complex dynamical phases of quantum systems are dictated by atomic interactions that usually evoke an emergent periodic order. Here, we study a quantum many-body system with two competing and substantially different long-range…

Quantum Gases · Physics 2022-10-11 Stefan Ostermann , Valentin Walther , Susanne F. Yelin

The dynamical glass transition is typically taken to be the temperature at which a glassy liquid is no longer able to equilibrate on experimental timescales. Consequently, the physical properties of these systems just above or below the…

Soft Condensed Matter · Physics 2017-03-08 Samuel S. Schoenholz , Ekin D. Cubuk , Efthimios Kaxiras , Andrea J. Liu

We present a first step toward a microscopic theory for the glass transition in systems with trivial static correlations. As an example we have chosen N infinitely thin hard rods with length L, fixed with their centers on a periodic lattice…

Soft Condensed Matter · Physics 2009-11-07 Rolf Schilling , Grzegorz Szamel

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

This article contains our comments and views on the status of the current understanding of phase transitions in systems with only hard-core interactions, based on our work in this area. The equation of state for the hard sphere gas in…

Statistical Mechanics · Physics 2023-07-13 Deepak Dhar , R. Rajesh , Aanjaneya Kumar

We explore the glassy dynamics of soft colloids using microgels and charged particles interacting by steric and screened Coulomb interactions, respectively. In the supercooled regime, the structural relaxation time $\tau_\alpha$ of both…

We study the orientational dynamics of infinitely thin hard rods of length L, with the centers-of-mass fixed on a simple cubic lattice with lattice constant a.We approximate the influence of the surrounding rods onto dynamics of a pair of…

Soft Condensed Matter · Physics 2009-11-07 Rolf Schilling , Grzegorz Szamel

When liquids are classified using Tg -scaled Arrhenius plots of relaxation times (or relative rates of entropy increase above Tg) across a "strong-fragile" spectrum of behaviors, the "strong" liquids have always appeared rather…

Soft Condensed Matter · Physics 2015-06-12 C. Austen Angell , Mahin Hemmati

Supersolidity of glasses is explained as a property of an unusual state of condensed matter. This state is essentially different from both normal and superfluid solid states. The mechanism of the phenomenon is the transfer of mass by…

Soft Condensed Matter · Physics 2007-05-23 A. F. Andreev
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