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The nature of defects in amorphous materials, analogous to vacancies and dislocations in crystals, remains elusive. Here we explore their nature in a three-dimensional microscopic model glass-former which describes granular, colloidal,…

Soft Condensed Matter · Physics 2019-11-13 Camille Scalliet , Ludovic Berthier , Francesco Zamponi

The atomic structure of the supercooled liquid has often been discussed as a key source of glass formation in metals. The presence of icosahedrally-coordinated clusters and their tendency to form networks have been identified as one…

Materials Science · Physics 2013-10-30 Logan Ward , Dan Miracle , Wolfgang Windl , Oleg Senkov , Katharine Flores

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

We determine the density expansion of the radius of gyration, of the hydrodynamic radius, and of the end-to-end distance for a monodisperse polymer solution in good-solvent conditions. We consider the scaling limit (large degree of…

Statistical Mechanics · Physics 2007-05-23 Sergio Caracciolo , Bortolo Matteo Mognetti , Andrea Pelissetto

We use theory and simulations to investigate the existence of amorphous glassy states in ultrasoft colloids. We combine the hyper-netted chain approximation with mode-coupling theory to study the dynamic phase diagram of soft repulsive…

Soft Condensed Matter · Physics 2010-12-16 Ludovic Berthier , Angel J. Moreno , Grzegorz Szamel

We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecular dynamics simulations and apply the Irving-Kirkwood formula…

Numerical Analysis · Mathematics 2026-05-25 Ranajay Datta , Mária Lukáčová-Medviďová , Andreas Schömer , Peter Virnau

When dissipative particles are left alone, their fluctuation energy decays due to collisional interactions, clusters build up and grow with time until the system size is reached. When the effective dissipation is strong enough, this may…

Statistical Mechanics · Physics 2009-10-31 S. Luding , H. J. Herrmann

Mesoscale behavior of polymers is frequently described by universal laws. This physical property motivates us to propose a new modeling concept, grouping polymers into classes with a common long-wavelength representation. In the same class…

Soft Condensed Matter · Physics 2016-10-25 Guojie Zhang , Torsten Stuehn , Kostas Ch. Daoulas , Kurt Kremer

The effect of confinement in the segmental relaxation of polymers is considered. On the basis of a thermodynamic model we discuss the emerging relevance of the fast degrees of freedom in stimulating the much slower segmental relaxation, as…

Soft Condensed Matter · Physics 2015-05-13 Marco Pieruccini , Tiberio A. Ezquerra

We study the effect of a random Flory-Huggins parameter in a symmetric diblock copolymer melt which is expected to occur in a copolymer where one block is near its structural glass transition. In the clean limit the microphase segregation…

Soft Condensed Matter · Physics 2009-11-11 Harry Westfahl , Joerg Schmalian

Mechanical properties are of central importance to materials sciences, in particular if they depend on external stimuli. Here we investigate the rheological response of amorphous solids, namely col- loidal glasses, to external forces. Using…

Soft Condensed Matter · Physics 2015-07-13 T. Sentjabrskaja , P. Chaudhuri , M. Hermes , W. C. K. Poon , J. Horbach , S. U. Egelhaaf , M. Laurati

We study the diffusion of $N$ particles in one dimension interacting via a drift proportional to their rank. In the attractive case (self-gravitating gas) a mapping to the Lieb Liniger quantum model allows to obtain stationary time…

Statistical Mechanics · Physics 2021-08-24 Pierre Le Doussal

We study conserved models of crystal growth in one dimension [$\partial_t z(x,t) =-\partial_x j(x,t)$] which are linearly unstable and develop a mound structure whose typical size L increases in time ($L = t^n$). If the local slope ($m…

Statistical Mechanics · Physics 2007-05-23 Paolo Politi , Alessandro Torcini

We consider three popular model glassformers, the Kob-Andersen and Wahnstr\"om binary Lennard-Jones models and weakly polydisperse hard spheres. Although these systems exhibit a range of fragilities, all feature a rather similar behaviour…

Soft Condensed Matter · Physics 2015-01-20 C. Patrick Royall , Alex Malins , Andrew J. Dunleavy , Rhiannon Pinney

Using molecular dynamics simulations, we study the slow dynamics of supercooled liquids confined in a random matrix of immobile obstacles. We study the dynamical crossover from glass-like to Lorentz-gas-like behavior in terms of the density…

Soft Condensed Matter · Physics 2011-05-30 Kang Kim , Kunimasa Miyazaki , Shinji Saito

We study the equilibrium glassy behavior of a multimode random laser model with nonlinear four-body quenched disordered interactions and a global smoothed-cubic constraint on mode intensities. This constraint, which provides a more…

Disordered Systems and Neural Networks · Physics 2025-11-19 Marcello Benedetti , Luca Leuzzi

We present here for the first time a unifying perspective for the lack of equipartition in non-linear ordered systems and the low temperature phase-space fragmentation in disordered systems. We demonstrate that they are just two…

Statistical Mechanics · Physics 2021-02-08 Giacomo Gradenigo , Fabrizio Antenucci , Luca Leuzzi

We consider a model for the distribution of a long homopolymer with a zero-range potential at the origin in $\mathbb{R}^3$. The distribution can be obtained as a limit of Gibbs distributions corresponding to properly normalized potentials…

Probability · Mathematics 2009-06-17 M. Cranston , L. Koralov , S. Molchanov , B. Vainberg

Glassy systems are characterized by an extremely sluggish dynamics without any simple sign of long range order. It is a debated question whether a correct description of such phenomenon requires the emergence of a large correlation length.…

Statistical Mechanics · Physics 2009-11-11 Andrea Montanari , Guilhem Semerjian

A major mystery of glass-forming liquids is the non-Arrhenius temperature-dependence of the average relaxation time. This paper briefly reviews the classical phenomenological models for this phenomenon - the free-volume model and the…

Condensed Matter · Physics 2015-06-25 Jeppe C. Dyre