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Using an effective potential method, a replica formulism is set up for describing supercooled liquids near their glass transition. The resulting potential is equivalent to that for an Ising spin glass in a magnetic field. Results taken from…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. A. Moore , J. Yeo

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

We generalize the simplest kinetically constrained model of a glass-forming liquid by softening kinetic constraints, allowing them to be violated with a small finite rate. We demonstrate that this model supports a first-order dynamical…

Statistical Mechanics · Physics 2010-10-14 Yael S. Elmatad , Robert L. Jack , Juan P. Garrahan , David Chandler

We propose and study a model with glassy behavior. The state space of the model is given by all triangulations of a sphere with $n$ nodes, half of which are red and half are blue. Red nodes want to have 5 neighbors while blue ones want 7.…

Statistical Mechanics · Physics 2009-11-13 Jean-Pierre Eckmann

We report a detailed experimental study of the structure and dynamics of glassy states in hard spheres with short-range attraction. The system is a suspension of nearly-hard-sphere colloidal particles and non-adsorbing linear polymer which…

Soft Condensed Matter · Physics 2009-11-10 K. N. Pham , S. U. Egelhaaf , P. N. Pusey , W. C. K. Poon

We study the phase behavior of colloidal suspensions the solvents of which are considered to be binary liquid mixtures undergoing phase segregation. We focus on the thermodynamic region close to the critical point of the accompanying…

Soft Condensed Matter · Physics 2015-06-03 T. F. Mohry , A. Maciołek , S. Dietrich

We investigate the phase diagram of a two-component associating fluid mixture in the presence of selectively adsorbing substrates. The mixture is characterized by a bulk phase diagram which displays peculiar features such as closed loops of…

Statistical Mechanics · Physics 2009-11-07 J. M. Romero-Enrique , L. F. Rull , U. Marini Bettolo Marconi

Lithium disilicate glasses and glass-ceramics are good potential candidates for biomedical applications and solid-state batteries, and serve as models of nucleation and crystal growth. Moreover, these glasses exhibit a phase separation that…

Recently determined atomistic scale structures of near-two dimensional bilayers of vitreous silica (using scanning probe and electron microscopy) allow us to refine the experimentally determined coordinates to incorporate the known local…

Disordered Systems and Neural Networks · Physics 2017-11-13 Mahdi Sadjadi , Bishal Bhattarai , D. A. Drabold , M. F. Thorpe , Mark Wilson

A biologically motivated model for spatio-temporal coexistence of two competing species is studied by mean-field theory and numerical simulations. In d>1 dimensions the phase diagram displays an extended region where both species coexist,…

Statistical Mechanics · Physics 2007-05-23 Heiko Reinhardt , Frank Boehm , Barbara Drossel , Haye Hinrichsen

Dense assemblies of self-propelled particles undergo a nonequilibrium form of glassy dynamics. Physical intuition suggests that increasing departure from equilibrium due to active forces fluidifies a glassy system. We falsify this belief by…

Soft Condensed Matter · Physics 2017-12-08 Ludovic Berthier , Elijah Flenner , Grzegorz Szamel

In this article we study synchronization of systems of homogeneous phase-coupled oscillators with plastic coupling strengths and arbitrary underlying topology. The dynamics of the coupling strength between two oscillators is governed by the…

Dynamical Systems · Mathematics 2016-02-24 Andrey Gushchin , Enrique Mallada , Ao Tang

We propose that there exists a generic class of glass forming systems that have competing states (of crystalline order or not) which are locally close in energy to the ground state (which is typically unique). Upon cooling, such systems…

Statistical Mechanics · Physics 2009-11-13 Valery Ilyin , Itamar Procaccia , Ido Regev , Nurith Schupper

Apart from not having crystallized, supercooled liquids can be considered as being properly equilibrated and thus can be described by a few thermodynamic control variables. In contrast, glasses and other amorphous solids can be arbitrarily…

Disordered Systems and Neural Networks · Physics 2017-10-10 Vassiliy Lubchenko , Peter G. Wolynes

We introduce models of heterogeneous systems with finite connectivity defined on random graphs to capture finite-coordination effects on the low-temperature behavior of finite dimensional systems. Our models use a description in terms of…

Disordered Systems and Neural Networks · Physics 2009-11-13 Reimer Kuehn , Jort van Mourik , Martin Weigt , Annette Zippelius

We investigate the effects of competition between two complex, $\mathcal{PT}$-symmetric potentials on the $\mathcal{PT}$-symmetric phase of a "particle in a box". These potentials, given by $V_Z(x)=iZ\mathrm{sign}(x)$ and…

Quantum Physics · Physics 2012-09-19 Yogesh N. Joglekar , Bijan Bagchi

We introduce a three replica potential useful to examine the structure of metastables states above the static transition temperature, in the spherical p-spin model. Studying the minima of the potential we are able to find which is the…

Disordered Systems and Neural Networks · Physics 2009-10-28 Andrea Cavagna , Irene Giardina , Giorgio Parisi

We consider the phase diagram of a classical fluid in the presence of a random pinning potential of arbitrary strength. Introducing replicas for averaging over the quenched disorder, we use the hypernetted chain approximation to calculate…

Condensed Matter · Physics 2009-10-31 Fabrice Thalmann , Chandan Dasgupta , Denis Feinberg

The one-dimensional long-range Ising spin glass provides useful insights into the properties of finite dimensional spin glasses with short-range interactions. The defect energy renormalization group equations derived for it by Kotliar,…

Disordered Systems and Neural Networks · Physics 2013-05-29 M. A. Moore

We provide a compact derivation of the static and dynamic equations for infinite-dimensional particle systems in the liquid and glass phases. The static derivation is based on the introduction of an "auxiliary" disorder and the use of the…

Statistical Mechanics · Physics 2016-03-23 Jorge Kurchan , Thibaud Maimbourg , Francesco Zamponi
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