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We analyze the properties of a Lennard-Jones system at the level of the potential energy landscape. After an exhaustive investigation of the topological features of the landscape of the systems, obtained studying small size sample, we…

Disordered Systems and Neural Networks · Physics 2016-08-31 L. Angelani , G. Parisi , G. Ruocco , G. Viliani

We numerically study the potential energy landscape of a fragile glassy system and find that the dynamic crossover corresponding to the glass transition is actually the effect of an underlying geometric transition caused by a qualitative…

Disordered Systems and Neural Networks · Physics 2009-11-07 Tomas S. Grigera , Andrea Cavagna , Irene Giardina , Giorgio Parisi

We study numerically the configuration space at low energy of electron glasses. We consider systems with Coulomb interactions, short-range interactions and no interactions. First, we calculate the integrated density of configurations as a…

Strongly Correlated Electrons · Physics 2007-05-23 A. Perez-Garrido , M. Ortuno , A. M. Somoza , A. Diaz-Sanchez

Many soft and biological materials display so-called 'soft glassy' dynamics; their constituents undergo anomalous random motions and complex cooperative rearrangements. A recent simulation model of one soft glassy material, a coarsening…

We explore whether the topology of energy landscapes in chemical systems obeys any rules and what these rules are. To answer this and related questions we use several tools: (i)Reduced energy surface and its density of states, (ii)…

Materials Science · Physics 2015-05-14 Artem R. Oganov , Mario Valle

We study rough high-dimensional landscapes in which an increasingly stronger preference for a given configuration emerges. Such energy landscapes arise in glass physics and inference. In particular we focus on random Gaussian functions, and…

Disordered Systems and Neural Networks · Physics 2019-01-09 Valentina Ros , Gerard Ben Arous , Giulio Biroli , Chiara Cammarota

Computer simulations of a model glass-forming system are presented, which are particularly sensitive to the correlation between the dynamics and the topography of the potential energy landscape. This analysis clearly reveals that in the…

Soft Condensed Matter · Physics 2009-10-31 Stephan Buechner , Andreas Heuer

The description of activated relaxation of glassy systems in the multidimensional configurational space is a long-standing open problem. We develop a phenomenological description of the out-of-equilibrium dynamics of a model with a rough…

Disordered Systems and Neural Networks · Physics 2014-10-09 Chiara Cammarota , Enzo Marinari

We present a simple mathematical model of glassy dynamics seen as a random walk in a directed, weighted network of minima taken as a representation of the energy landscape. Our approach gives a broader perspective to previous studies…

Statistical Mechanics · Physics 2009-08-25 Andrea Baronchelli , Alain Barrat , Romualdo Pastor-Satorras

Glass-forming systems, which are characterized by a highly disordered energy landscape, have been studied in physics by a simulation-based state space aggregation. The purpose of this article is to develop a path-independent approach within…

Probability · Mathematics 2012-11-29 Gerold Alsmeyer , Andrea Winkler

There is a growing belief that the mode coupling theory is the proper microscopic theory for the dynamics of the undercooled liquid above a critical temperature T_c. In addition, there is some evidence that the system leaves the…

Disordered Systems and Neural Networks · Physics 2009-11-07 U. Buchenau

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 study the energy-landscape network of Lennard-Jones clusters as a model of a glass forming system. We find the stable basins and the first order saddles connecting them, and identify them with the network nodes and links, respectively.…

Soft Condensed Matter · Physics 2009-03-14 Shai Carmi , Shlomo Havlin , Chaoming Song , Kun Wang , Hernan A. Makse

This paper concerns with the hydrodynamic limit of the Kob-Andersen model, an interacting particle system that has been introduced by physicists in order to explain glassy behavior, and widely studies since. We will see that the density…

Probability · Mathematics 2022-09-28 Assaf Shapira

Using simulations, we construct the effective dynamics in metabasin space for a Lennard-Jones glass-former. Metabasins are identified via a scheme that measures transition rates between inherent structures, and generates clusters of…

Soft Condensed Matter · Physics 2013-05-29 Yasheng Yang , Bulbul Chakraborty

An efficient algorithm is developed to construct disconnectivity graphs by a random walk over basins of attraction. This algorithm can detect a large number of local minima, find energy barriers between them, and estimate local thermal…

Statistical Mechanics · Physics 2011-08-08 Qing Zhou

For a model glass-former we demonstrate via computer simulations how macroscopic dynamic quantities can be inferred from a PEL analysis. The essential step is to consider whole superstructures of many PEL minima, called metabasins, rather…

Statistical Mechanics · Physics 2009-11-10 Burkhard Doliwa , Andreas Heuer

Monte Carlo algorithms such as the Wang-Landau algorithm and similar `entropic' methods are able to accurately sample the density of states of model systems and thereby give access to thermal equilibrium properties at any temperature.…

Statistical Mechanics · Physics 2014-01-28 Daniele Barettin , Paolo Sibani

Kinetically constrained models (KCMs) are models of glass formers based on the concept of dynamic facilitation. This concept accounts for many of the characteristics of the glass transition. KCMs usually display a combination of simple…

Statistical Mechanics · Physics 2007-05-23 Stephen Whitelam , Juan P. Garrahan

We investigate the energy landscape of two dimensional network models for covalent glasses by means of the lid algorithm. For three different particle densities and for a range of network sizes, we exhaustively analyse many configuration…

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