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The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost…

Superstatistics is an elegant framework for the description of steady-state thermodynamics, mostly used for systems with long-range interactions such as plasmas. In this work, we show that the potential energy distribution of a classical…

Statistical Mechanics · Physics 2025-03-25 Sergio Davis , Claudia Loyola , Carlos Femenías , Joaquín Peralta

We calculate the statistical properties of the energy landscape of a minimal model for strong network-forming liquids. Dynamics and thermodynamic properties of this model can be computed with arbitrary precision even at low temperatures. A…

Statistical Mechanics · Physics 2016-08-31 A. J. Moreno , S. V. Buldyrev , E. La Nave , I. Saika-Voivod , F. Sciortino , P. Tartaglia , E. Zaccarelli

We study the relation of the potential energy landscape (PEL) topography to relaxation dynamics of a small model glass former of Lennard-Jones type. The mechanism under investigation is the hopping betweem superstructures of PEL mimima,…

Disordered Systems and Neural Networks · Physics 2009-11-07 Burkhard Doliwa , Andreas Heuer

When a liquid melt is cooled, a glass or phase transition can be obtained depending on the cooling rate. Yet, this behavior has not been clearly captured in energy landscape models. Here a model is provided in which two key ingredients are…

Statistical Mechanics · Physics 2015-10-12 Gerardo G. Naumis

We present a mean-field theory of a coarse-grained model of a super-cooled liquid in which relaxation occurs via local plastic rearrangements. Local relaxation can be induced by thermal fluctuations or by the long-range elastic consequences…

Soft Condensed Matter · Physics 2023-12-07 Joseph W. Baron , Giulio Biroli

By means of molecular dynamics, we study the structure and the dynamics of a microscopic model for colloidal gels at low volume fractions. The presence of directional interactions leads to the formation of a persistent interconnected…

Soft Condensed Matter · Physics 2010-01-02 Emanuela Del Gado , Walter Kob

The off-equilibrium dynamics of a monatomic Lennard-Jones glass is investigated after sudden isothermal density jumps (crunch) from well equilibrated liquid configurations towards the glassy state. The generalized fluctuation-dissipation…

Disordered Systems and Neural Networks · Physics 2009-10-31 R. Di Leonardo , L. Angelani , G. Parisi , G. Ruocco

We study the effect of an external field on (1+1) and (2+1) dimensional elastic manifolds, at zero temperature and with random bond disorder. Due to the glassy energy landscape the configuration of a manifold changes often in abrupt,…

Statistical Mechanics · Physics 2009-11-07 E. T. Seppälä , M. J. Alava

The effects of floppy modes in the thermodynamical properties of a system are studied. From thermodynamical arguments, we deduce that floppy modes are not at zero frequency and thus a modified Debye model is used to take into account this…

Statistical Mechanics · Physics 2015-10-12 Gerardo G. Naumis

We study energy landscape and dynamics of the three-dimensional Heisenberg Spin Glass model in the paramagnetic phase, i.e. for temperature $T$ larger than the critical temperature $T_\mathrm{c}$. The landscape is non-trivially related to…

Disordered Systems and Neural Networks · Physics 2019-09-24 Marco Baity-Jesi , Victor Martin-Mayor

We study the relaxational dynamics of flux lines in high-temperature superconductors with random pinning using Langevin dynamics. At high temperatures the dynamics is stationary and the fluctuation dissipation theorem (FDT) holds. At low…

Superconductivity · Physics 2009-11-11 Sebastian Bustingorry , Leticia Cugliandolo , Daniel Dominguez

In amorphous materials, groups of particles can rearrange locally into a new stable configuration. Such elementary excitations are key as they determine the response to external stresses, as well as to thermal and quantum fluctuations. Yet,…

Soft Condensed Matter · Physics 2022-04-26 Wencheng Ji , Tom W. J. de Geus , Elisabeth Agoritsas , Matthieu Wyart

A discrete--dynamics model, which is specified solely in terms of the system's equilibrium structure, is defined for the density correlators of a simple fluid. This model yields results for the evolution of glassy dynamics which are…

Disordered Systems and Neural Networks · Physics 2011-08-12 T. Franosch , W. Götze , M. R. Mayr , A. P. Singh

We study theoretically and numerically a family of multi-point dynamic susceptibilities that quantify the strength and characteristic lengthscales of dynamic heterogeneities in glass-forming materials. We use general theoretical arguments…

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

We prepare metastable glassy states in a model glass-former made of Lennard-Jones particles by sampling biased ensembles of trajectories with low dynamical activity. These trajectories form an inactive dynamical phase whose `fast'…

Statistical Mechanics · Physics 2011-12-30 Robert L. Jack , Lester O. Hedges , Juan P. Garrahan , David Chandler

When classical systems fail to explore their entire configurational space, intriguing macroscopic phenomena like aging and glass formation may emerge. Also closed quanto-mechanical systems may stop wandering freely around the whole Hilbert…

Statistical Mechanics · Physics 2012-02-07 Giuseppe Carleo , Federico Becca , Marco Schiró , Michele Fabrizio

Using molecular dynamics computer simulations we investigate how the glass transition and the properties of the resulting glass depend on the cooling rate with which the sample has been quenched. This is done by studying a two component…

Condensed Matter · Physics 2009-10-28 Katharina Vollmayr , Walter Kob , Kurt Binder

We formally extend the energy landscape approach for the thermodynamics of liquids to account for saddle points. By considering the extensive nature of macroscopic potential energies, we derive the scaling behavior of saddles with system…

Soft Condensed Matter · Physics 2009-11-10 M. S. Shell , P. G. Debenedetti , A. Z. Panagiotopoulos