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Crystallization and vitrification are two different routes to form a solid. Normally these two processes suppress each other, with the glass transition preventing crystallization at high density (or low temperature). This is even true for…

Soft Condensed Matter · Physics 2014-08-26 Ran Ni , Martien A. Cohen Stuart , Marjolein Dijkstra , Peter G. Bolhuis

We investigate the dynamics of a driven system of dissipative hard spheres in the framework of mode-coupling theory. The dissipation is modeled by normal restitution, and driving is applied to individual particles in the bulk. In such a…

Soft Condensed Matter · Physics 2010-06-29 W. Till Kranz , Matthias Sperl , Annette Zippelius

We discuss the need for discretization to evaluate the configurational entropy in a general model. We also discuss the prescription using restricted partition function formalism to study the stationary limit of metastable states. We…

Statistical Mechanics · Physics 2009-11-10 F. Semerianov , P. D. Gujrati

The aim of this paper is to review and discuss qualitatively some results on the properties of amorphous packings of hard spheres that were recently obtained by means of the replica method. The theory gives predictions for the equation of…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. Zamponi

Because of the negative inclination of the solid-liquid phase separation line in water, ice Ih melts on compression. On further increase in pressure the liquid water transforms into a high density metastable glassy state, characterized by a…

Soft Condensed Matter · Physics 2021-04-22 Saumyak Mukherjee , Biman Bagchi

We study the thermodynamic and dynamic phase transitions in two-dimensional polydisperse hard disks using Monte Carlo methods. A conventional local Monte Carlo algorithm allows us to observe a dynamic liquid-glass transition at a density,…

Statistical Mechanics · Physics 2007-05-23 Ludger Santen , Werner Krauth

We propose a connection between self-similar, focusing dynamics in nonlinear partial differential equations (PDEs) and macroscopic dynamic features of the glass transition. In particular, we explore the divergence of the appropriate…

Condensed Matter · Physics 2015-06-24 P. G. Kevrekidis , S. K. Kumar , I. G. Kevrekidis

We find an order-disorder transition from crystals to disordered crystals for static packings of frictionless spheres. While the geometric indicators are mostly blind to the transition, disordered crystals already exhibit properties apart…

Soft Condensed Matter · Physics 2015-10-26 Hua Tong , Peng Tan , Ning Xu

Structural relaxation in binary hard spherical particles has been shown recently to exhibit a wealth of remarkable features when size disparity or mixture's composition is varied. In this paper, we test whether or not similar dynamical…

Soft Condensed Matter · Physics 2014-12-03 Wen-Sheng Xu , Zhao-Yan Sun , Li-Jia An

Key to resolving the scientific challenge of the glass transition is to understand the origin of the massive increase in viscosity of liquids cooled below their melting temperature (avoiding crystallisation). A number of competing and often…

Soft Condensed Matter · Physics 2018-09-12 C. Patrick Royall , Francesco Turci , Soichi Tatsumi , John Russo , Joshua Robinson

The metastable states of a glass are counted by adding a weak pinning field which explicitly breaks the ergodicity. Their entropy, that is the logarithm of their number, is extensive in a range of temperatures $T_G < T < T_C$ only, where…

Condensed Matter · Physics 2009-10-28 R. Monasson

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 review a theoretical perspective of the dynamics of glass forming liquids and the glass transition. It is a perspective we have developed with our collaborators during this decade. It is based upon the structure of trajectory space. This…

Soft Condensed Matter · Physics 2010-04-20 David Chandler , Juan P. Garrahan

Using molecular dynamics simulation we examine changeovers among crystal, glass, and liquid at high density in a two dimensional binary mixture. We change the ratio between the diameters of the two components and the temperature. The…

Soft Condensed Matter · Physics 2009-11-11 Toshiyuki Hamanaka , Akira Onuki

The glass transition of mesoscopic charged particles in two-dimensional confinement is studied by mode-coupling theory. We consider two types of effective interactions between the particles, corresponding to two different models for the…

Statistical Mechanics · Physics 2015-10-06 Anoosheh Yazdi , Marco Heinen , Alexei Ivlev , Hartmut Löwen , Matthias Sperl

In this article, we demonstrate a method for inducing reversible crystal-to-crystal transitions in binary mixtures of soft colloidal particles. Through a controlled decrease of salinity and increasingly dominating electrostatic…

Soft Condensed Matter · Physics 2021-08-30 Jasper N. Immink , Maxime J. Bergman , J. J. Erik Maris , Joakim Stenhammar , Peter Schurtenberger

In this note we present numerical simulations of binary mixtures and we find indications for a thermodynamic transition to a glassy phase. We find that below the transition point the off equilibrium correlation functions and response…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi

A binary fluid mixture of non-additive hard spheres characterized by a size ratio $\gamma=\sigma_2/\sigma_1<1$ and a non-additivity parameter $\Delta=2\sigma_{12}/(\sigma_1+\sigma_2)-1$ is considered in infinitely many dimensions. From the…

Statistical Mechanics · Physics 2007-05-23 A. Santos , M. Lopez de Haro

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

A key open question in the glass transition field is whether a finite temperature thermodynamic transition to the glass state exists or not. Recent simulations of coupled replicas in atomistic models have found signatures of a static…

Statistical Mechanics · Physics 2015-06-18 Juan P. Garrahan