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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

For classical system under constant composition, macroscopic structure in thermodynamically equilibrium state can be determined through the so-called canonical average, including sum over possible microscopic states on phase space. Although…

Statistical Mechanics · Physics 2018-08-10 Koretaka Yuge , Shouno Ohta

For classical discrete systems under constant composition, a set of microscopic state dominantly contributing to thermodynamically equilibrium structure should depend on temperature and energy through Boltzmann factor, exp(-bE). Despite…

Statistical Mechanics · Physics 2019-09-11 Shouno Ohta , Ryogo Miyake , Koretaka Yuge

A microscopic understanding of low-temperature thermodynamics and its relation to dynamical features such as a fragile-to-strong crossover (FSC) remains a central challenge in glass physics. Using swap Monte Carlo combined with a full…

Soft Condensed Matter · Physics 2026-05-25 Anshul D. S. Parmar , Simon G. Kellers , Andreas Heuer

For classical systems, expectation value of macroscopic property in equilibrium state can be typically provided through thermodynamic (so-called canonical) average, where summation is taken over possible states in phase space (or in…

Statistical Mechanics · Physics 2019-10-02 Koretaka Yuge , Shouno Ohta

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

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

It is difficult to relate the properties of liquids and glasses directly to their structure because of complexity in the structure which defies precise definition. The potential energy landscape (PEL) approach is a very insightful way to…

Soft Condensed Matter · Physics 2014-11-27 Takuya Iwashita , Takeshi Egami

In order to predict the potential energy surface (PES) from measured structure in equilibrium state, one should typically perform trial-and-error statistical thermodynamic simulation with assumed multibody interactions. Very recently, we…

Disordered Systems and Neural Networks · Physics 2017-07-11 Koretaka Yuge

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

Our recent study reveals that macroscopic structure in thermodynamically equilibrium state and its temperature dependence for classical discrete system can be well-characterized by a single specially-selected microscopic state (which we…

Materials Science · Physics 2019-05-01 Koretaka Yuge , Shouno Ohta

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

This paper is a computational bifurcation analysis of a non-linear partial differential equation (PDE) characterizing equilibrium configurations in Micro electromechanical Systems (MEMS). MEMS are engineering systems that utilize…

Dynamical Systems · Mathematics 2024-01-24 Charles Naudet , Alan E. Lindsay

The formal structure of geometrical thermodynamics is reviewed with particular emphasis on the geometry of equilibria submanifolds. On these submanifolds thermodynamic metrics are defined as the Hessian of thermodynamic potentials. Links…

Mathematical Physics · Physics 2007-05-23 Manuel Santoro , Albert S. Benight

We investigate the dynamics of a binary mixture Lennard-Jones system of different system sizes with respect to the importance of the properties of the underlying potential energy landscape (PEL). We show that the dynamics of small systems…

Statistical Mechanics · Physics 2013-05-30 Christian Rehwald , Andreas Heuer

A generalized entropy arising in the context of superstatistics is obtained for an ideal gas. The curvature scalar associated to the thermodynamic space generated by this modified entropy is calculated using two formalisms of the geometric…

Statistical Mechanics · Physics 2018-04-18 J. L. López , O. Obregón , J. Torres-Arenas

A geometric analysis of the global properties of the energy landscape of a minimalistic model of a polypeptide is presented, which is based on the relation between dynamical trajectories and geodesics of a suitable manifold, whose metric is…

Statistical Mechanics · Physics 2009-11-13 Lorenzo N. Mazzoni , Lapo Casetti

In systems characterized by a rough potential energy landscape, local energetic minima and saddles define a network of metastable states whose topology strongly influences the dynamics. Changes in temperature, causing the merging and…

Soft Condensed Matter · Physics 2009-07-24 Marco Baiesi , Lorenzo Bongini , Lapo Casetti , Lorenzo Tattini

Concepts of everyday use like energy, heat, and temperature have acquired a precise meaning after the development of thermodynamics. Thermodynamics provides the basis for understanding how heat and work are related and with the general…

Statistical Mechanics · Physics 2007-05-23 D. Reguera , J. M. Rubi , J. M. G. Vilar

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
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