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Finite-dimensional signatures of spinodal criticality are notoriously difficult to come by. The dynamical transition of glass-forming liquids, first described by mode-coupling theory, is a spinodal instability preempted by thermally…

Statistical Mechanics · Physics 2020-09-09 Ludovic Berthier , Patrick Charbonneau , Joyjit Kundu

Understanding glasses and the glass transition requires comprehending the nature of the crossover from the ergodic (or equilibrium) regime, in which the stationary properties of the system have no history dependence, to the mysterious glass…

We theoretically investigate the glass-transition problem for a quasi-two-dimensional colloidal dense suspension modulated by a one-dimensional periodic external potential as imposed by interfering laser beams. Relying on a mode-coupling…

Soft Condensed Matter · Physics 2025-09-10 Abolfazl Ahmadirahmat , Michele Caraglio , Vincent Krakoviack , Thomas Franosch

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

We present a theory for the dynamics of a binary mixture with particle size swaps. The theory is based on a factorization approximation similar to that employed in the mode-coupling theory of glassy dynamics. The theory shows that, in…

Soft Condensed Matter · Physics 2018-11-14 Grzegorz Szamel

We study the off equilibrium dynamics of a mean field disordered systems which can be interpreted both as a long range interaction spin glass and as a particle in a random potential. The statics of this problem is well known and exhibits a…

Condensed Matter · Physics 2009-10-22 S. Franz , M. Mézard

Disordered systems generically exhibit aging and a glass transition. Previous studies have long suggested that non-reciprocity tends to destroy glassiness. Here, we show that this is not always the case using a bipartite spherical…

Disordered Systems and Neural Networks · Physics 2025-11-11 Giulia Garcia Lorenzana , Ada Altieri , Giulio Biroli , Michel Fruchart , Vincenzo Vitelli

Glass transition is accompanied by a rapid growth of the structural relaxation time and a concomitant decrease of configurational entropy. It remains unclear whether the transition has a thermodynamic origin, and whether the dynamic arrest…

Soft Condensed Matter · Physics 2015-10-28 Chengjie Xia , Jindong Li , Yixin Cao , Binquan Kou , Xinaghui Xiao , Kamel Fezzaa , Tiqiao Xiao , Yujie Wang

We study the transition of short range Ising spin glasses in a magnetic field, within a general replica symmetric field theory, which contains three masses and eight cubic couplings, that is defined in terms of the fields representing the…

Disordered Systems and Neural Networks · Physics 2016-08-31 I. R. Pimentel , T. Temesvari , C. De Dominicis

Motivated by a recent argument that the superconducting (SC) transition field of three-dimensional (3D) disordered superconductors with granular structure in a nonzero magnetic field should lie above $H_{c2}(0)$ in low $T$ limit, the glass…

Superconductivity · Physics 2009-11-11 Ryusuke Ikeda

The transition from a liquid to a glass in colloidal suspensions of particles interacting through a hard core plus an attractive square-well potential is studied within the mode-coupling-theory framework. When the width of the attractive…

Soft Condensed Matter · Physics 2007-05-23 K. Dawson , G. Foffi , M. Fuchs , W. Gotze , F. Sciortino , M. Sperl , P. Tartaglia , Th. Voigtmann , E. Zaccarelli

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

We use an exact transfer-matrix approach to compute the equilibrium properties of a system of hard disks of diameter $\sigma$ confined to a two-dimensional channel of width $1.95\,\sigma$ at constant longitudinal applied force. At this…

Disordered Systems and Neural Networks · Physics 2015-02-19 M. J. Godfrey , M. A. Moore

We show in numerical simulations that a system of two coupled replicas of a binary mixture of hard spheres undergoes a phase transition in equilibrium at a density slightly smaller than the glass transition density for an unreplicated…

Disordered Systems and Neural Networks · Physics 2014-03-03 G. Parisi , B. Seoane

The very existence of a phase transition for spin glasses in an external magnetic field is controversial, even in high dimensions. We carry out massive simulations of the Ising spin-glass in a field, in six dimensions (which, according to…

Disordered Systems and Neural Networks · Physics 2024-10-30 Miguel Aguilar-Janita , Victor Martin-Mayor , Javier Moreno-Gordo , Juan Jesus Ruiz-Lorenzo

In this paper, we consider a renormalization group perspective on the quantum dynamics of a particle moving in the Euclidean $\mathbb{R}^N$ space through the complex landscape provided by a disordered Hamiltonian of type $2+p$. We focus on…

Disordered Systems and Neural Networks · Physics 2025-02-14 Ixandra Achitouv , Vincent Lahoche , Dine Ousmane Samary , Parham Radpay

The critical behavior of a family of fully connected mean-field models with quenched disorder, the $M-p$ Ising spin glass, is analyzed, displaying a crossover between a continuous and a random first order phase transition as a control…

Disordered Systems and Neural Networks · Physics 2015-05-20 F. Caltagirone , U. Ferrari , L. Leuzzi , G. Parisi , T. Rizzo

An effective theory is constructed for analyzing a generic phase transition between the quantum spin Hall and the insulator phases. Occurrence of degeneracies due to closing of the gap at the transition are carefully elucidated. For systems…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Shuichi Murakami , Satoshi Iso , Yshai Avishai , Masaru Onoda , Naoto Nagaosa

In a recent publication we established an analogy between the free energy of a hard sphere system and the energy of an elastic network [1]. This result enables one to study the free energy landscape of hard spheres, in particular to define…

Disordered Systems and Neural Networks · Physics 2007-08-08 Carolina Brito , Matthieu Wyart

We study an air-fluidized granular monolayer, composed of plastic spheres which roll on a metallic grid. The air current is adjusted so that the spheres never loose contact with the grid, so that the dynamics may be regarded as pseudo…

Soft Condensed Matter · Physics 2022-11-21 F. Vega Reyes , A. Rodríguez-Rivas , J. F. González-Saavedra , M. A. López-Castaño