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In the contemporary era of rapid advancements in materials science, the development of new compounds and materials is proceeding at an accelerated pace. The concept of the potential energy landscape (PEL) plays a pivotal role in supporting…

Materials Science · Physics 2024-11-07 Nadezhda A. Andreeva , Vitaly V. Chaban

The potential energy landscape (PEL) formalism is a statistical mechanical approach to describe supercooled liquids and glasses. Here we use the PEL formalism to study the pressure-induced transformations between low-density amorphous ice…

Statistical Mechanics · Physics 2019-07-24 Philip H. Handle , Francesco Sciortino , Nicolas Giovambattista

By extending the concept of diffusion to the potential energy landscapes (PELs), we introduce the mean-squared energy difference (MSED) as a novel quantity to investigate the intrinsic properties of glass. MSED can provide a clear…

Disordered Systems and Neural Networks · Physics 2025-04-11 Dianmo Zhang , Deyan Sun , Xingao Gong

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

The development of new electrolyte solutions with improved characteristics is a key challenge for creating high-performance batteries, fuel cells, supercapacitors, and other electrochemical devices. The study of the potential energy…

Materials Science · Physics 2024-12-30 Vitaly V. Chaban

Within the scenario of the potential energy landscape (PEL), a thermodynamic model has been developed to uncover the physics behind the Angell plot. In our model, by separating the barrier distribution in PELs into a Gaussian-like and a…

Materials Science · Physics 2023-01-04 D. M. Zhang , D. Y. Sun , X. G. Gong

The techniques which allow the numerical evaluation of the statistical properties of the potential energy landscape for models of simple liquids are reviewed and critically discussed. Expressions for the liquid free energy and its…

Soft Condensed Matter · Physics 2007-05-23 E. La Nave , S. Mossa , F. Sciortino , P. Tartaglia

The potential energy landscape, PEL, theory stands as one of the most successful frameworks for understanding supercooled liquids and glassy systems. A central element of this theory is the configurational entropy, Sc, which is…

Statistical Mechanics · Physics 2026-01-01 Hongqin Liu

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

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

How useful it is to think about the potential energy landscape of a complex many-body system depends in large measure on how direct the connection is to the system's dynamics. In this paper we show that, within what we call the potential…

Soft Condensed Matter · Physics 2007-12-12 Chengju Wang , Richard M. Stratt

We introduce the ideal Gaussian glass-forming system as a model to describe the thermodynamics and dynamics of supercooled liquids on a local scale in terms of the properties of the potential energy landscape (PEL). The first ingredient is…

Materials Science · Physics 2009-11-13 A. Heuer , A. Saksaengwijit

The concept of potential energy landscapes is applied in many areas of science. We experimentally realize a random potential energy landscape (rPEL) to which colloids are exposed. This is achieved exploiting the interaction of matter with…

Optics · Physics 2016-07-11 J. Bewerunge , S. U. Egelhaaf

We report a molecular dynamics simulation study of the properties of the potential energy landscape sampled by a system of water molecules during the process of generating a glass by cooling, and during the process of regenerating the…

Soft Condensed Matter · Physics 2009-11-10 Nicolas Giovambattista , H. Eugene Stanley , Francesco Sciortino

Free-energy landscape theory is often used to describe complex molecular systems. Here, a microscopic description of water structure and dynamics based on configuration-space-networks and molecular dynamics simulations of the TIP4P/2005…

Statistical Mechanics · Physics 2015-06-05 Diego Prada-Gracia , Roman Shevchuk , Peter Hamm , Francesco Rao

We review recent results on the potential energy landscape (PES) of model liquids. The role of saddle-points in the PES in connecting dynamics to statics is investigated, confirming that a change between minima-dominated and…

Soft Condensed Matter · Physics 2012-11-26 Antonio Scala , Luca Angelani , Roberto Di Leonardo , Giancarlo Ruocco , Francesco Sciortino

As a liquid approaches the glass state, its dynamics slows down rapidly, by a few orders of magnitude in a very small temperature range. In the case of light elements and small molecules containing hydrogen (e.g., water), such a process can…

Soft Condensed Matter · Physics 2025-07-30 Yang Zhou , Ali Eltareb , Gustavo E. Lopez , Nicolas Giovambattista

We present a three-dimensional lattice-gas model with trivial thermodynamics, but nontrivial dynamics. The model is characterized by each particle having its own random energy landscape. The equilibrium dynamics of the model were…

Soft Condensed Matter · Physics 2012-03-27 Ulf R. Pedersen , Tina Hecksher , Jeppe C. Dyre , Thomas B. Schrøder

Identifying heterogeneous structures in glasses --- such as localized soft spots --- and understanding structure-dynamics relations in these systems remain major scientific challenges. Here we derive an exact expression for the local…

Soft Condensed Matter · Physics 2017-08-16 Jacques Zylberg , Edan Lerner , Yohai Bar-Sinai , Eran Bouchbinder

The equation of state for a liquid in equilibrium, written in the potential energy landscape formalism, is generalized to describe out-of-equilibrium conditions. The hypothesis that during aging the system explores basins associated to…

Soft Condensed Matter · Physics 2016-08-31 Stefano Mossa , Emilia La Nave , Francesco Sciortino , Piero Tartaglia
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