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We study thermally activated dynamics using functional renormalization within the field theory of randomly pinned elastic systems, a prototype for glasses. It appears through an essentially non-perturbative boundary layer in the running…

Disordered Systems and Neural Networks · Physics 2007-05-23 Leon Balents , Pierre Le Doussal

Glasses feature a broad distribution of relaxation times and activation energies without an obvious characteristic scale. At the same time, macroscopic quantities such as Newtonian viscosity and nonlinear plastic deformation, are…

Soft Condensed Matter · Physics 2018-08-09 Edan Lerner , Eran Bouchbinder

We present a numerical study of the statistical properties of the potential energy landscape of a simple model for strong network-forming liquids. The model is a system of spherical particles interacting through a square well potential,…

Soft Condensed Matter · Physics 2007-05-23 A. J. Moreno , I. Saika-Voivod , E. Zaccarelli , E. La Nave , S. V. Buldyrev , P. Tartaglia , F. Sciortino

The complex dynamics of an increasing number of systems is attributed to the emergence of a rugged energy landscape with an exponential number of metastable states. To develop this picture into a predictive dynamical theory I discuss how to…

Disordered Systems and Neural Networks · Physics 2021-09-15 Tommaso Rizzo

It is analyzed whether the potential energy landscape of a glass-forming system can be effectively mapped on a random model which is described in statistical terms. For this purpose we generalize the simple trap model of Bouchaud and…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. Heuer , B. Doliwa , A. Saksaengwijit

An appropriate model for the random energy landscape in organic glasses is a spatially correlated Gaussian field, generated by randomly located and oriented dipoles and quadrupoles. Correlation properties of energetic disorder directly…

Materials Science · Physics 2013-03-21 S. V. Novikov

We show that a glass transition, signaled by a peak in the specific heat vs. temperature, can occur because a glassy system that shows no signs of aging progresses so slowly through the energy landscape that the time needed to obtain an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Clare C. Yu , Herve M. Carruzzo

The potential energy landscape (PEL) formalism is a tool within statistical mechanics that has been used in the past to calculate the equation of states (EOS) of classical rigid model liquids at low temperatures, where computer simulations…

Soft Condensed Matter · Physics 2024-01-18 Ali Eltareb , Gustavo E. Lopez , Nicolas Giovambattista

According to the mean-field glass theory, the (free) energy landscape of disordered systems is hierarchical and ultrametric if they belong to the full-replica-symmetry-breaking universality class. However, examining this theoretical picture…

Soft Condensed Matter · Physics 2025-12-23 Shuonan Wu , Yuchen Xie , Deng Pan , Lei Zhang , Yuliang Jin

Epithelial cell tissues have a slow relaxation dynamics resembling that of supercooled liquids. Yet, they also have distinguishing features. These include an extended short-time sub-diffusive transient, as observed in some experiments and…

Soft Condensed Matter · Physics 2021-02-17 Yan-Wei Li , Leon Loh Yeong Wei , Matteo Paoluzzi , Massimo Pica Ciamarra

The annealing treatment in the advanced manufacturing process, e.g., laser-assisted manufacturing, determines the final state of glasses which is critical to its thermal, electrical and mechanical properties. Energy barriers analysis based…

Materials Science · Physics 2021-01-27 Yanguang Zhou

The activation energy (E_A) spectra of potential energy landscape (PEL) provides a convenient perspective for interpreting complex phenomena in amorphous materials; however, the link between the E_A spectra and other physical properties in…

Materials Science · Physics 2020-02-25 Shan Zhang , Chaoyi Liu , Yong Yang , Yue Fan , Pengfei Guan

A picture for thermodynamics of the glassy state is introduced. It assumes that one extra parameter, the effective temperature, is needed to describe the glassy state. This explains the classical paradoxes concerning the Ehrenfest relations…

Disordered Systems and Neural Networks · Physics 2009-10-31 Th. M. Nieuwenhuizen

A system is glassy when the observation time is much smaller than the equilibration time. A unifying thermodynamic picture of the glassy state is presented. Slow configurational modes are in quasi-equilibrium at an effective temperature. It…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

The potential energy landscape (PEL) formalism is a valuable approach within statistical mechanics for describing supercooled liquids and glasses. Here we use the PEL formalism and computer simulations to study the pressure-induced…

Statistical Mechanics · Physics 2016-12-13 Nicolas Giovambattista , Francesco Sciortino , Francis W. Starr , Peter H. Poole

The thermodynamic and kinetic anomalies of supercooled liquids are analyzed from the perspective of energy landscapes. A mean field model, a generalized random energy model of liquids is developed, which exhibits a dynamical transition of…

Soft Condensed Matter · Physics 2009-11-10 Masaki Sasai

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

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

The packing of elastic sheets is investigated in a quasi two-dimensional experimental setup: a sheet is pulled through a rigid hole acting as a container, so that its configuration is mostly prescribed by the cross-section of the sheet in…

Classical Physics · Physics 2009-11-13 Stephanie Deboeuf , Mokhtar Adda-Bedia , Arezki Boudaoud

We review a model--based rather than phenomenological approach to low--temperature anomalies in glasses. Specifically, we present a solvable model inspired by spin--glass theory that exhibits both, a glassy low--temperature phase, and a…

Statistical Mechanics · Physics 2009-10-31 Reimer Kuehn , Uta Horstmann