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Related papers: Higher-Order Singularities without Glass-Glass Tra…

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We introduce and analytically study a generalized p-spin glass like model that captures some of the main features of attractive glasses, recently found by Mode Coupling investigations, such as a glass/glass transition line and dynamical…

Statistical Mechanics · Physics 2009-11-10 Antonio Caiazzo , Antonio Coniglio , Mario Nicodemi

The standard field-theoretical procedure to study the effect of long wavelength fluctuations on a genuine second-order phase transition is applied to the Mode-Coupling-Theory (MCT) dynamical singularity at $T_c$ in the $\beta$ regime.…

Disordered Systems and Neural Networks · Physics 2013-07-17 Tommaso Rizzo

A spatially extended classical system with metastable states subject to weak spatiotemporal noise can exhibit a transition in its activation behavior when one or more external parameters are varied. Depending on the potential, the…

Statistical Mechanics · Physics 2008-07-09 J. Bürki , C. A. Stafford , D. L. Stein

Using molecular dynamics simulation, we investigate the slow dynamics of a supercooled binary mixture of soft particles interacting with a generalized Hertzian potential. At low density, it displays typical slow dynamics near its glass…

Soft Condensed Matter · Physics 2016-10-18 Ryoji Miyazaki , Takeshi Kawasaki , Kunimasa Miyazaki

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

Statistical Mechanics · Physics 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius

The glass state problem stems from the failure described in terms of one-electron theory or atoms (molecules) as independent particles. In 2005, de Gennes proposed that the way to explain the glass transition in simple terms was to…

Materials Science · Physics 2024-08-27 Jia-Lin Wu

Lattice molecule models are proposed in order to study statistical mechanics of glass transition in finite dimensions. Molecules in the models are represented by hard Wang tiles and their density is controlled by a chemical potential. An…

Statistical Mechanics · Physics 2015-05-28 Shin-ichi Sasa

Using positional data from video-microscopy of a two-dimensional colloidal system and from simulations of hard discs we determine the wave-vector-dependent normal mode spring constants in the supercooled fluid and glassy state,…

Soft Condensed Matter · Physics 2012-10-26 Christian L. Klix , Florian Ebert , Fabian Weysser , Matthias Fuchs , Georg Maret , Peter Keim

Due to the lack of long-range order, it remains challenging to characterize the structure of disordered solids and understand the nature of the glass transition. Here we propose a new structural order parameter by taking into account…

Soft Condensed Matter · Physics 2024-08-26 Ding Xu , Qinyi Liao , Ning Xu

It is widely believed that the emergence of slow glassy dynamics is encoded in a material's microstructure. First-principles theory [mode-coupling theory (MCT)] is able to predict the dramatic slowdown of the dynamics from only static…

We formulate and solve a model of dynamical arrest in colloids. A particle is coupled to the bath of statistically identical particles. The dynamics is described by Langevin equation with stochastic external force described by telegraphic…

Statistical Mechanics · Physics 2007-05-23 Frantisek Slanina , Petr Chvosta

A recent hypothesis claims that the glass transition itself, though it is a very pronounced relaxation peak, is no separate relaxation process at all, but is just the breakdown of the shear modulus due to the weak elastic dipole interaction…

Disordered Systems and Neural Networks · Physics 2007-05-23 U. Buchenau

We present a detailed derivation of a microscopic theory for the glass transition of a liquid enclosed between two parallel walls relying on a mode-coupling approximation. This geometry lacks translational invariance perpendicular to the…

Soft Condensed Matter · Physics 2012-08-16 Simon Lang , Rolf Schilling , Vincent Krakoviack , Thomas Franosch

For hard ellipsoids of revolution we calculate the phase diagram for the idealized glass transition. Our equations cover the glass physics in the full phase space, for all packing fractions and all aspect ratios X$_0$. With increasing…

Soft Condensed Matter · Physics 2009-10-31 M. Letz , R. Schilling , A. Latz

The two-dimensional XY gauge glass, which describes disordered superconducting grains in strong magnetic fields, is investigated, with regard to the possibility of a glass transition. We compute the glass susceptibility and the correlation…

Condensed Matter · Physics 2009-10-31 M. Y. Choi , Sung Yong Park

We establish the connection between the presence of a glass phase and the appearance of a Coulomb gap in disordered materials with strongly interacting electrons. Treating multiparticle correlations in a systematic way, we show that in the…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Mueller , L. B. Ioffe

Glasses are ubiquitous in daily life and technology. However the microscopic mechanisms generating this state of matter remain subject to debate: Glasses are considered either as merely hyper-viscous liquids or as resulting from a genuine…

Disordered Systems and Neural Networks · Physics 2016-06-14 S. Albert , Th. Bauer , M. Michl , G. Biroli , J. -P. Bouchaud , A. Loidl , P. Lunkenheimer , R. Tourbot , C. Wiertel-Gasquet , F. Ladieu

We provide a detailed derivation of the mode-coupling equations for a colloidal liquid confined by two parallel smooth walls. We introduce irreducible memory kernels for the different relaxation channels thereby extending the projection…

Statistical Mechanics · Physics 2020-07-20 Lukas Schrack , Thomas Franosch

Within the mode-coupling theory for ideal glass transitions, an analysis for the correlation functions of glass-forming systems for states near higher-order glass-transition singularities is presented. It is shown that the solutions of the…

Soft Condensed Matter · Physics 2007-05-23 W. Gotze , M. Sperl

We present a modified version of our "sliding model", where chain arcs, between two contacts at the surface, may move if all the barriers along the arc are weaker than a certain threshold.An important advance of the revised model is that…

Soft Condensed Matter · Physics 2007-05-23 Pierre-Gilles de Gennes