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Systems of particles interacting via inverse-power law potentials have an invariance with respect to changes in length and temperature, implying a correspondence in the dynamics and thermodynamics between different `isomorphic' sets of…

Statistical Mechanics · Physics 2016-08-03 Thibaud Maimbourg , Jorge Kurchan

In supercooled liquids, vitrification generally suppresses crystallization. Yet some glasses can still crystallize despite the arrest of diffusive motion. This ill-understood process may limit the stability of glasses, but its microscopic…

The long wavelength diffusion coefficient of a critical fluid confined between two parallel plates separated by a distance L is strongly affected by the finite size. Finite size scaling leads us to expect that the vanishing of the diffusion…

Statistical Mechanics · Physics 2009-11-10 Palash Das , Jayanta K. Bhattacharjee

We utilize the lattice cluster theory (LCT) of polymer fluids to show that the configurational entropy, enthalpy, and internal energy are all closely interrelated, as suggested by recent measurements by Caruthers and Medvedev, so that the…

Soft Condensed Matter · Physics 2023-01-11 Xiaolei Xu , Jack F. Douglas , Wen-Sheng Xu

We analyze in details how the anomalous drift and diffusion properties of a particle evolving in an aging medium can be interpreted in terms of an effective temperature of the medium. From an experimental point of view, independent…

Statistical Mechanics · Physics 2015-06-24 Noelle Pottier

The dynamic scaling of mesoscopically thick films (up to $10^{4}$ atomic layers) grown with the Clarke-Vvedensky model is investigated numerically for broad ranges of values of the diffusion-to-deposition ratio $R$ and lateral neighbor…

Statistical Mechanics · Physics 2015-04-17 T. A. de Assis , F. D. A. Aarão Reis

We analyze a simple dynamical model of glasses, based on the idea that each particle is trapped in a local potential well, which itself evolves due to hopping of neighbouring particles. The glass transition is signalled by the fact that the…

Condensed Matter · Physics 2009-10-28 Jean-Philippe Bouchaud , Alain Comtet , Cécile Monthus

We describe a comprehensive model for the formation and morphological development of atmospheric ice crystals growing from water vapor, also known as snow crystals. Our model derives in part from empirical measurements of the intrinsic ice…

Materials Science · Physics 2012-11-26 Kenneth G. Libbrecht

Fragility, quantifying the rapidity of variation of relaxation times, is analysed for a series of model glass formers, which differ in the softness of their interparticle interactions. In an attempt to rationalize experimental observations…

Soft Condensed Matter · Physics 2017-05-30 Anshul D. S. Parmar , Pallabi Kundu , Srikanth Sastry

We investigate the asymptotic behaviour of a correlation function associated with a nematic liquid crystal system undergoing an isotropic-nematic phase transition following an instantaneous change of temperature. Within the setting of…

Analysis of PDEs · Mathematics 2013-10-07 Eduard Kirr , Mark Wilkinson , Arghir Zarnescu

We investigate the calorimetric liquid-glass transition by performing simulations of a binary Lennard-Jones mixture in one through four dimensions. Starting at a high temperature, the systems are cooled to T=0 and heated back to the ergodic…

Disordered Systems and Neural Networks · Physics 2009-01-01 Ralf Brüning , Denis A. St-Onge , Steve Patterson , Walter Kob

In this paper we study the mechanical properties and pore structure in a three-dimensional molecular dynamics model of porous glass under athermal quasistatic shear. The vitreous samples are prepared by rapid thermal quench from a high…

Soft Condensed Matter · Physics 2021-06-08 Sucharita Niyogi , Bhaskar Sen Gupta

Using a well defined soft model glass in the framework of Molecular Dynamics simulations, the inherent structures are probed by means of a recently developed deformation protocol that aims to capture the Dynamical Heterogeneities (DH), as…

Disordered Systems and Neural Networks · Physics 2013-02-15 F. Leonforte

We argue that for generic systems close to a critical point, an extended Fluctuation-Dissipation relation connects the low frequency non-linear (cubic) susceptibility to the four-point correlation function. In glassy systems, the latter…

Statistical Mechanics · Physics 2009-11-11 Jean-Philippe Bouchaud , Giulio Biroli

We give evidence of a clear structural signature of the glass transition, in terms of a static correlation length with the same dependence on the system size which is typical of critical phenomena. Our approach is to introduce an external,…

Statistical Mechanics · Physics 2010-06-25 Majid Mosayebi , Emanuela Del Gado , Patrick Ilg , Hans Christian Ottinger

Differential scanning calorimetry (DSC) is one of the most versatile probes for silicate glasses, allowing determination of, e.g., transition temperatures (glass, crystallization, melting) and the temperature dependence of heat capacity.…

When a liquid freezes, a change in the local atomic structure marks the transition to the crystal. When a liquid is cooled to form a glass, however, no noticeable structural change marks the glass transition. Indeed, characteristic features…

Soft Condensed Matter · Physics 2015-11-24 Samuel S. Schoenholz , Ekin D. Cubuk , Daniel M. Sussman , Efthimios Kaxiras , Andrea J Liu

The dynamic properties of liquid phase-change materials (PCMs), such as viscosity $\eta$ and atomic self-diffusion coefficients D, play an essential role in ultrafast phase switching behavior of novel non-volatile phase-change memory…

Materials Science · Physics 2019-01-31 Shuai Wei , Zach Evenson , Moritz Stolpe , Pierre Lucas , C. Austen Angell

We consider the diffusion constant, D, of a probe particle coupled to the East model, extending previous numerical results for this model to encompass a total of twelve orders of magnitude in relaxation time, {\tau}. Our considerations thus…

Statistical Mechanics · Physics 2013-09-24 YounJoon Jung , Soree Kim , Juan P. Garrahan , David Chandler

Although the pattern formation on polymer gels has been considered as a result of the mechanical instability due to the volume phase transition, we found a macroscopic surface pattern formation not caused by the mechanical instability. It…

Pattern Formation and Solitons · Physics 2007-05-23 Hiroaki Katsuragi