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We consider a model dense colloidal dispersion at the glass transition, and investigate the connection between equilibrium stress fluctuations, seen in linear shear moduli, and the shear stresses under strong flow conditions far from…

Soft Condensed Matter · Physics 2009-11-13 J. J. Crassous , M. Siebenbürger , M. Ballauff , M. Drechsler , D. Hajnal , O. Henrich , M. Fuchs

The interplay of slow dynamics and thermodynamic features of dense liquids is studied by examinining how the glass transition changes depending on the presence or absence of Lennard-Jones-like attractions. Quite different thermodynamic…

Materials Science · Physics 2009-11-13 Th. Voigtmann

We present a scaling description of a metal-insulator transition in two-dimensional electron systems that is driven by a vanishing compressibility rather than a vanishing diffusion coefficient. A small set of basic assumptions leads to a…

Strongly Correlated Electrons · Physics 2016-12-06 D. Belitz , T. R. Kirkpatrick

We investigate the liquid-glass phase transition in a system of point-like particles interacting via a finite-range attractive potential in D-dimensional space. The phase transition is driven by an `entropy crisis' where the available phase…

Disordered Systems and Neural Networks · Physics 2009-11-11 Vik. S. Dotsenko , G. Blatter

We analyze the properties of the energy landscape of {\it finite-size} fully connected $p$-spin-like models. In the thermodynamic limit the high temperature phase is described by the schematic Mode Coupling Theory of super-cooled liquids.…

Statistical Mechanics · Physics 2009-10-31 A. Crisanti , F. Ritort

Fluids in which the interparticle potential has a hard core, is attractive at moderate separations, and repulsive at greater separations are known to exhibit novel phase behavior, including stable inhomogeneous phases. Here we report a…

Soft Condensed Matter · Physics 2008-09-17 Andrew J. Archer , Nigel B. Wilding

The glass transition remains one of the great unsolved mysteries of contemporary condensed matter physics. When crystallization is bypassed by rapid cooling, a supercooled liquid, retaining amorphous particle arrangment, results. The…

Materials Science · Physics 2016-10-12 Nicholas B. Weingartner , Zohar Nussinov

In this paper we consider nonlinearly elastic, frame-indifferent, and singularly perturbed two-well models for materials undergoing solid-solid phase transitions in any space dimensions, and we perform a simultaneous passage to…

Analysis of PDEs · Mathematics 2020-05-11 Elisa Davoli , Manuel Friedrich

A theory for the non-local shear stress correlations in supercooled liquids is derived from first principles. It captures the crossover from viscous to elastic dynamics at an idealized liquid to glass transition and explains the emergence…

Soft Condensed Matter · Physics 2018-01-03 Manuel Maier , Annette Zippelius , Matthias Fuchs

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

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

We study the rheology of monodisperse and bidisperse emulsions with various droplet sizes (1 $\mu$m -- 2 $\mu$m diameter). Above a critical volume fraction $\phi_c$, these systems exhibit solid-like behavior and a yield stress can be…

Soft Condensed Matter · Physics 2021-03-12 Cong Cao , Jianshan Liao , Victor Breedveld , Eric R Weeks

We discuss two doubly degenerate Cahn-Hilliard (DDCH) models for isotropic surface diffusion. Degeneracy is introduced in both the mobility function and a restriction function associated to the chemical potential. Our computational results…

Numerical Analysis · Mathematics 2020-12-17 Marco Salvalaglio , Axel Voigt , Steven M. Wise

In this paper we investigate the dynamic properties of the minimal Bell-Lavis (BL) water model and their relation to the thermodynamic anomalies. The Bell-Lavis model is defined on a triangular lattice in which water molecules are…

Statistical Mechanics · Physics 2015-05-19 Marcia M. Szortyka , Carlos E. Fiore , Vera B. Henriques , Marcia C. Barbosa

We present a novel mechanism for the anomalous behaviour of the specific heat in low-temperature amorphous solids. The analytic solution of a mean-field model belonging to the same universality class as high-dimensional glasses, the…

Disordered Systems and Neural Networks · Physics 2019-07-29 Silvio Franz , Thibaud Maimbourg , Giorgio Parisi , Antonello Scardicchio

We present a few--mode Galerkin model for convection in binary fluid layers subject to an approximation to realistic horizontal boundary conditions at positive separation ratios. The model exhibits convection patterns in form of rolls and…

Fluid Dynamics · Physics 2015-05-14 S. Weggler , B. Huke , M. Luecke

We study long polymer chains in a poor solvent, confined to the space between two parallel hard walls. The walls are energetically neutral and pose only a geometric constraint which changes the properties of the coil-globule (or…

Soft Condensed Matter · Physics 2009-11-10 Hsiao-Ping Hsu , Peter Grassberger

We establish phase transitions for classes of continuum Delaunay multi-type particle systems (continuum Potts models) with infinite range repulsive interaction between particles of different type. In one class of the Delaunay Potts models…

Probability · Mathematics 2016-01-27 Stefan Adams , Michael Eyers

A new relaxation mechanism is shown to arise from overdamped two-level systems above a critical temperature $T^*\approx 5$ K, thus yielding an explanation for experimental observations in dielectric glasses in the temperature range between…

Condensed Matter · Physics 2009-10-22 Peter Neu , Alois Würger

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