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Numerical simulations and finite-size scaling analysis have been carried out to study the percolation behavior of straight rigid rods of length $k$ ($k$-mers) on two-dimensional square lattices. The $k$-mers, containing $k$ identical units…

Statistical Mechanics · Physics 2015-06-05 D. A. Matoz-Fernandez , D. H. Linares , A. J. Ramirez-Pastor

We consider a generalized version of the Random Energy Model in which the energy of each configuration is given by the sum of $N$ independent contributions ("local energies") with finite variances but otherwise arbitrary statistics. Using…

Statistical Mechanics · Physics 2013-07-25 Florian Angeletti , Eric Bertin , Patrice Abry

The mode-coupling theory of the glass transition predicts the time evolution of the intermediate scattering functions in viscous liquids on the sole basis of the structural information encoded in two-point density correlations. We provide a…

Statistical Mechanics · Physics 2010-10-01 Ludovic Berthier , Gilles Tarjus

We study a non-ergodic transition in a many-body Langevin system. We first derive an equation for the two-point time correlation function of density fluctuations, ignoring the contributions of the third- and fourth-order cumulants. For this…

Statistical Mechanics · Physics 2009-11-11 Mami Iwata , Shin-ichi Sasa

Liquids near the glass transition exhibit dynamical heterogeneity, i.e. local relaxation rates fluctuate strongly over space and time. Here we introduce a simple continuum model that allows for quantitative predictions for the correlators…

Soft Condensed Matter · Physics 2024-03-20 Rajib K. Pandit , Horacio E. Castillo

A solid - amorphous or crystalline - is defined by a finite shear modulus while a fluid lacks such. We thus experimentally investigate the elastic properties of a colloidal glass former near the glass transition: spectroscopy of vibrational…

Soft Condensed Matter · Physics 2015-12-02 Christian L. Klix , Georg Maret , Peter Keim

Although several theories relate the steep slowdown of glass formers to increasing spatial correlations of some sort, standard static correlation functions show no evidence for this. We present results that reveal for the first time a…

Disordered Systems and Neural Networks · Physics 2011-08-31 G. Biroli , J. -P. Bouchaud , A. Cavagna , T. S. Grigera , P. Verrocchio

Extensive computer simulations are performed for a few model glass-forming liquids in both two and three dimensions to study their dynamics when a randomly chosen fraction of particles are frozen in their equilibrium positions. For all the…

Statistical Mechanics · Physics 2016-08-03 Saurish Chakrabarty , Rajsekhar Das , Smarajit Karmakar , Chandan Dasgupta

We present an analytical and numerical study of a nonlinear diffusion model which describes density relaxation of loosely packed particles under gravity and weak random (thermal) vibration, and compare the results with Monte Carlo…

Soft Condensed Matter · Physics 2009-11-10 Jeferson J. Arenzon , Yan Levin , Mauro Sellitto

We introduce a new quantity to probe the glass transition. This quantity is a linear generalized compressibility which depends solely on the positions of the particles. We have performed a molecular dynamics simulation on a glass forming…

Disordered Systems and Neural Networks · Physics 2009-11-07 Herve M. Carruzzo , Clare C. Yu

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

Statistical Mechanics · Physics 2009-10-30 M. L. Falk , J. S. Langer

The shear-transformation-zone (STZ) theory has been remarkably successful in accounting for broadly peaked, frequency-dependent, viscoelastic responses of amorphous systems near their glass temperatures $T_g$. This success is based on the…

Statistical Mechanics · Physics 2012-02-02 J. S. Langer

We study the solid-to-liquid transition in a two-dimensional fully periodic soft-glassy model with an imposed spatially heterogeneous stress. The model we consider consists of droplets of a dispersed phase jammed together in a continuous…

Soft Condensed Matter · Physics 2018-06-06 Matteo Lulli , Roberto Benzi , Mauro Sbragaglia

Molecular fluids show rich and complicated dynamics close to the glass transition. Some of these observations are related to the fact that translational and orientational degrees of freedom couple in nontrivial ways. A model system which…

Soft Condensed Matter · Physics 2017-08-23 M. Letz , R. Schilling

Metallic glasses exhibit fast mechanical relaxations at temperatures well below the glass transition, one of which shows little variation with temperature known as nearly constant loss (NCL). Despite the important implications of this…

Disordered Systems and Neural Networks · Physics 2022-01-21 Leo Zella , Jaeyun Moon , David Keffer , Takeshi Egami

Cell monolayers and epithelial tissues display slow dynamics during the liquid-glass transitions, a phenomenon with direct relevance to embryogenesis, tumor metastases, and wound healing. In active cells, persistent motion and cell…

Soft Condensed Matter · Physics 2024-01-25 Meng-Yuan Li , Yan-Wei Li

Using simulations of hard rods in smectic-A states, we find non-gaussian diffusion and heterogeneous dynamics due to the equilibrium periodic smectic density profiles, which give rise to permanent barriers for layer-to-layer diffusion. This…

Soft Condensed Matter · Physics 2009-12-15 A. Patti , D. El Masri , R. van Roij , M. Dijkstra

The mode-coupling theory for ideal glass transitions in simple systems is generalized to a theory for the glassy dynamics of molecular liquids using the density fluctuations of the sites of the molecule's constituent atoms as the basic…

Soft Condensed Matter · Physics 2009-11-07 S. -H. Chong , W. Gotze

The origins of rapid dynamical slow down in glass forming liquids in the growth of static length scales, possibly associated with identifiable structural ordering, is a much debated issue. Growth of medium range crystalline order (MRCO) has…

Soft Condensed Matter · Physics 2018-08-29 Indrajit Tah , Shiladitya Sengupta , Srikanth Sastry , Chandan Dasgupta , Smarajit Karmakar

A theory for the non-local stress in liquids captures the crossover from viscous to elastic correlations upon supercooling. It explains the emergence of long-ranged stress fields in glass which originate from the coupling of shear stress to…

Soft Condensed Matter · Physics 2022-05-03 Annette Zippelius , Matthias Fuchs