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The dynamical properties and mechanical functions of amorphous materials are governed by their microscopic structures, particularly the elasticity of the interaction networks, which is generally complicated by structural heterogeneity. This…

Statistical Mechanics · Physics 2018-04-11 Le Yan

We discuss the glassy dynamics recently found in the meta-equilibrium quasi stationary states (QSS) of the HMF model. The relevance of the initial conditions and the connection with Tsallis nonextensive thermostatistics is also addressed.

Statistical Mechanics · Physics 2009-11-10 Alessandro Pluchino , Vito Latora , Andrea Rapisarda

We study the dynamics of a one-dimensional fluid of orientable hard rectangles with a non-coarse-grained microscopic mechanism of facilitation. The length occupied by a rectangle depends on its orientation, which is coupled to an external…

Disordered Systems and Neural Networks · Physics 2011-12-09 Jeferson J. Arenzon , Deepak Dhar , Ronald Dickman

A generic feature of systems with long-range interactions is the presence of {\it quasi-stationary} states with non-Gaussian single particle velocity distributions. For the case of the Hamiltonian Mean Field (HMF) model, we demonstrate that…

Disks moving in a narrow channel have many features in common with the glassy behavior of hard spheres in three dimensions. In this paper we study the caging behavior of the disks which sets in at characteristic packing fraction $\phi_d$.…

Disordered Systems and Neural Networks · Physics 2016-03-09 J. F. Robinson , M. J. Godfrey , M. A. Moore

The structure of states of the perturbed p-spin spherical spin-glass is analyzed. At low enough free energy metastable states have a supersymmetric structure, while at higher free energies the supersymmetry is broken. The transition between…

Disordered Systems and Neural Networks · Physics 2009-11-10 Alessia Annibale , Giulia Gualdi , Andrea Cavagna

The slow relaxation and aging of glassy systems can be modelled as a Markov process on a simplified rough energy landscape: energy minima where the system tends to get trapped are taken as nodes of a random network, and the dynamics are…

Disordered Systems and Neural Networks · Physics 2020-01-29 Riccardo Giuseppe Margiotta , Reimer Kühn , Peter Sollich

We study in this paper the effect of weak, short-ranged interaction on disordered metals. Through analysing the interaction matrix elements between different eigenstates of the non-interacting and corresponding Hartree-Fock single-particle…

Disordered Systems and Neural Networks · Physics 2024-07-30 Yat Fan Lau , Tai Kai Ng

We propose a new scenario for glassy dynamics in frustrated systems with no quenched-in randomness, based on jamming of extended dynamical structures near a critical point. This route to a glassy state is demonstrated in a lattice model of…

Statistical Mechanics · Physics 2007-05-23 Dibyendu Das , Jane' Kondev , Bulbul Chakraborty

In this note we revisit the Kovacs effect, concerning the way in which the volume of a glass-forming liquid, which has been driven out of equilibrium, changes with time while the system evolves towards a metastable state. The theoret- ical…

Soft Condensed Matter · Physics 2017-11-16 F. Aliotta , R. C. Ponterio , F. Saija , P. V. Giaquinta

A one-dimensional long-range model of classical rotators with an extended degree of complexity, as compared to paradigmatic long-range systems, is introduced and studied. Working at constant density, in the thermodynamic limit one can prove…

Statistical Mechanics · Physics 2015-09-03 Alessio Turchi , Duccio Fanelli , Xavier Leoncini

Optically confined colloidal particles, when placed in close proximity, form a dissipatively coupled system through hydrodynamic interactions. The role of such interactions influencing irreversibility and energy dissipation in…

A one-dimensional Ising model with nearest neighbour interactions is applied to study compaction processes in granular media. An equivalent particle-hole picture is introduced, with the holes being associated to the domain walls of the…

Statistical Mechanics · Physics 2009-11-07 A. Prados , J. Javier Brey

We endow a system of interacting particles with two distinct, local, Markovian and reversible microscopic dynamics. Using common field-theoretic techniques used to investigate the presence of a glass transition, we find that while the…

Statistical Mechanics · Physics 2015-03-05 Hugo Jacquin , Bongsoo Kim , Kyozi Kawasaki , Frédéric Van Wijland

Glasses are amorphous solids whose constituent particles are caged by their neighbors and thus cannot flow. This sluggishness is often ascribed to the free energy landscape containing multiple minima (basins) separated by high barriers.…

Disordered Systems and Neural Networks · Physics 2014-04-29 Patrick Charbonneau , Jorge Kurchan , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

In this paper we propose a short range generalization of the $p$-spin interaction spin-glass model. The model is well suited to test the idea that an entropy collapse is at the bottom-line of the dynamical singularity encountered in…

Condensed Matter · Physics 2009-10-28 Diego Alvarez , Silvio Franz , Felix Ritort

An exact solution of a Landau model of an order-disorder transition with activated critical dynamics is presented. The model describes a funnel-shaped topography of the order parameter space in which the number of energy lowering…

Statistical Mechanics · Physics 2009-11-10 Satya N. Majumdar , Dibyendu Das , Jane' Kondev , Bulbul Chakraborty

We investigate the multi-valley energy landscape of a 3-D on-lattice network model for covalent glasses, numerically determining the shape of the valleys, the local density of states, the density of minima and the local connectivity. We…

Statistical Mechanics · Physics 2009-10-31 J. Christian Schoen , P. Sibani

Particle dynamics in supercooled liquids are often dominated by string-like motions in which lines of particles perform activated hops cooperatively. The structural features triggering these motions, crucial in understanding glassy…

By defining a spatially varying replica overlap parameter for a supercooled liquid referenced to an ensemble of fiducial liquid state configurations we explicitly construct a constrained replica free energy functional that maps directly…

Soft Condensed Matter · Physics 2009-11-13 Jacob D. Stevenson , Aleksandra M. Walczak , Randall W. Hall , Peter G. Wolynes