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The concept of fragility provides a possibility to rank different supercooled liquids on the basis of the temperature dependence of dynamic and/or thermodynamic quantities. We recall here the definitions of kinetic and thermodynamic…

Statistical Mechanics · Physics 2009-11-10 G. Ruocco , F. Sciortino , F. Zamponi , C. De Michele , T. Scopigno

A model is derived for the viscoelastic response of glasses at isothermal uniaxial deformation with small strains. A glass is treated as an ensemble of relaxing units with various activation energies for rearrangement. With reference to the…

Materials Science · Physics 2007-05-23 A. D. Drozdov , J. deC. Christiansen

We propose a new class of phenomenological models for dynamic glass transitions. The system consists of an ensemble of mesoscopic regions to which local energies are allocated. At each time step, a region is randomly chosen and a new local…

Disordered Systems and Neural Networks · Physics 2009-11-11 Ivan Junier

A phenomenological free energy model is proposed to describe the behavior of smectic liquid crystals, an intermediate phase that exhibits orientational order and layering at the molecular scale. Advantageous properties render the functional…

Soft Condensed Matter · Physics 2021-05-05 Jingmin Xia , Scott MacLachlan , Timothy J. Atherton , Patrick E. Farrell

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

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

One of the central problems of the liquid-glass transition is whether there is a structural signature that can qualitatively distinguish different dynamic behaviors at different degrees of supercooling. Here, we propose a novel structural…

Soft Condensed Matter · Physics 2015-09-24 Yan-Wei Li , You-Liang Zhu , Zhao-Yan Sun

A Gamma-distribution based potential energy landscape (PEL) theory has recently been proposed for supercooled liquids and glasses. This new PEL theory introduces a singularity term in the equation of state (EoS) suitable for representing…

Soft Condensed Matter · Physics 2026-02-11 Hongqin Liu

For amorphous solids, it has been intensely debated whether the traditional view on solids, in terms of the ground state and harmonic low energy excitations on top of it, such as phonons, is still valid. Recent theoretical developments of…

Soft Condensed Matter · Physics 2017-04-26 Yuliang Jin , Hajime Yoshino

We study the role of elasticity-induced facilitation on the dynamics of glass-forming liquids by a coarse-grained two-dimensional model in which local relaxation events, taking place by thermal activation, can trigger new relaxations by…

Disordered Systems and Neural Networks · Physics 2023-04-05 Misaki Ozawa , Giulio Biroli

We model a close-knit community of friends and enemies as a fully connected network with positive and negative signs on its edges. Theories from social psychology suggest that certain sign patterns are more stable than others. This notion…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Seth A. Marvel , Steven H. Strogatz , Jon M. Kleinberg

The dynamics of colloidal particles in potential energy landscapes have mainly been investigated theoretically. In contrast, here we discuss the experimental realization of potential energy landscapes with the help of light fields and the…

Full dimensional potential energy surfaces (PESs) based on machine learning (ML) techniques provide means for accurate and efficient molecular simulations in the gas- and condensed-phase for various experimental observables ranging from…

Chemical Physics · Physics 2023-07-26 Kaisheng Song , Silvan Käser , Kai Töpfer , Luis Itza Vazquez-Salazar , Markus Meuwly

An analysis of the dynamics is performed, of exactly solvable models for fragile and strong glasses, exploiting the partitioning of the free energy landscape in inherent structures. The results are compared with the exact solution of the…

Statistical Mechanics · Physics 2009-11-07 Luca Leuzzi , Theo M. Nieuwenhuizen

Colloidal particles were exposed to a random potential energy landscape (rPEL) that has been created optically via a speckle pattern. The mean particle density as well as the potential roughness, i.e. the disorder strength, were varied. The…

Soft Condensed Matter · Physics 2016-08-16 J. Bewerunge , A. Sengupta , R. F. Capellmann , F. Platten , S. Sengupta , S. U. Egelhaaf

The idea of a Potential Energy Surface (PES) forms the basis of almost all accounts of the mechanisms of chemical reactions, and much of theoretical molecular spectroscopy. It is assumed that, in principle, the PES can be calculated by…

Quantum Physics · Physics 2013-04-10 Brian Sutcliffe , R. Guy Woolley

Energy landscapes provide a conceptual framework for structure prediction, and a detailed understanding of their topological features is necessary to develop efficient methods for their exploration. The ability to visualise these surfaces…

Computational Physics · Physics 2021-11-16 Benjamin W. B. Shires , Chris J. Pickard

The energy landscape dictates pathways and outcomes in supramolecular selfassembly, yet harnessing it from the nano to the macro scales remains a major challenge. Here, we demonstrate liquid liquid phase separation (LLPS) as a powerful tool…

Glass is a microscopically disordered, solid form of matter that results when a fluid is cooled or compressed in such a fashion that it does not crystallise. Almost all types of materials are capable of glass formation -- polymers, metal…

Statistical Mechanics · Physics 2009-10-31 Srikanth Sastry

The phenomenology of glass-forming liquids is often described in terms of their underlying, high-dimensional potential energy surface. In particular, the statistics of stationary points sampled as a function of temperature provides useful…

Statistical Mechanics · Physics 2021-01-06 Masanari Shimada , Daniele Coslovich , Hideyuki Mizuno , Atsushi Ikeda
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