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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…

统计力学 · 物理学 2026-01-01 Hongqin Liu

The hard sphere system plays a basic role in condensed matter physics and related fields, and equation of state (EoS) is the ultimate solution to its thermodynamic properties (1-3). Dozens of EoSs have been proposed since van der Waals…

统计力学 · 物理学 2007-05-23 Hongqin Liu

We show that thermodynamic scaling can be derived by combining the Murnaghan equation of state (EOS) with the generalized entropy theory (GET) of glass formation. In our theory, thermodynamic scaling arises in the non-Arrhenius relaxation…

软凝聚态物质 · 物理学 2021-03-18 Jack F. Douglas , Wen-Sheng Xu

Glass transition and random packing in the hard sphere system have attracted great attention due to the important role of the system in the investigation of diverse real systems including liquids, colloidal dispersions, supercooled liquids,…

统计力学 · 物理学 2007-05-23 Hongqin Liu

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…

软凝聚态物质 · 物理学 2024-01-18 Ali Eltareb , Gustavo E. Lopez , Nicolas Giovambattista

Despite decades of intense study, the mechanisms underlying the extraordinary dynamics of supercooled liquids as they approach the glass transition remain, at best, mis-characterized, and at worst, misunderstood. A long standing endeavor is…

无序系统与神经网络 · 物理学 2017-01-04 Nicholas B. Weingartner , Chris Pueblo , K. F. Kelton , Zohar Nussinov

We propose a new form for equations of state (EOS) of thermodynamic systems in the Ising universality class. The new EOS guarantees the correct universality and scaling behavior close to critical points and is formulated in terms of the…

统计力学 · 物理学 2014-02-07 Arnold Neumaier

Using the inherent structure formalism originally proposed by Stillinger and Weber [Phys. Rev. A 25, 978 (1982)], we generalize the thermodynamics of an energy landscape that has an ideal glass transition and derive the consequences for its…

软凝聚态物质 · 物理学 2009-11-07 M. S. Shell , P. G. Debenedetti , E. La Nave , F. Sciortino

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…

材料科学 · 物理学 2009-11-13 A. Heuer , A. Saksaengwijit

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…

统计力学 · 物理学 2019-07-24 Philip H. Handle , Francesco Sciortino , Nicolas Giovambattista

We use computer simulations to study the glass transition of dense fluids made of polydisperse, repulsive spheres. For hard particles, we vary the volume fraction, phi, and use compressible particles to explore finite temperatures, T>0. In…

统计力学 · 物理学 2009-08-25 Ludovic Berthier , Thomas A. Witten

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…

材料科学 · 物理学 2023-01-04 D. M. Zhang , D. Y. Sun , X. G. Gong

Equations of state (EOS) calculated from a computationally efficient atom-in-jellium treatment of the electronic structure have recently been shown to be consistent with more rigorous path integral Monte Carlo (PIMC) and quantum molecular…

The equation of state of a hard sphere fluid at high density should exhibit a simple pole at the random close packing limit. Here we show that trying to obtain a compact semi-empirical equation of state simultaneously compatible with that…

软凝聚态物质 · 物理学 2019-08-14 Richard Bonneville

Transitions between different states of matter and their thermodynamic properties are described by the Equation of State (EoS). A universal representation of the EoS of Quantum Chromodynamics (QCD) for the wide range of phase diagram has…

高能物理 - 唯象学 · 物理学 2023-08-22 Maria Stefaniak , Klaus Werner , Johannes Jahan , Hanna Zbroszczyk

The equation of state (EOS) of a low-density porous substance plasma is proposed in the form of continuous media EOS containing, as a pressure control parameter, the degree of plasma homogenization, which is function of the initial porous…

等离子体物理 · 物理学 2023-06-28 S. Yu. Guskov , R. A. Yakhin

We study the glass and jamming transition of finite-dimensional models of simple liquids: hard- spheres, harmonic spheres and more generally bounded pair potentials that modelize frictionless spheres in interaction. At finite temperature,…

无序系统与神经网络 · 物理学 2013-07-16 Hugo Jacquin

Equation of state (EOS) describes the thermodynamic properties of substances. It has important applications in many fields such as power mechanics, geophysics, astrophysics, and detonation physics. Currently, most EOSs have been constructed…

统计力学 · 物理学 2021-07-15 Ti-Wei Xue , Zeng-Yuan Guo

Equations of State (EoS) for fluids have been a staple of engineering design and practice for over a century. Available EoS are based on the fitting of a closed-form analytical expression to suitable experimental data. The underlying…

计算物理 · 物理学 2020-07-30 Kezheng Zhu , Erich A. Müller

In a recent publication we established an analogy between the free energy of a hard sphere system and the energy of an elastic network [1]. This result enables one to study the free energy landscape of hard spheres, in particular to define…

无序系统与神经网络 · 物理学 2007-08-08 Carolina Brito , Matthieu Wyart
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