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Structurally disordered materials continue to pose fundamental questions, including that of how different disordered phases ("polyamorphs") can coexist and transform from one to another. As a widely studied case, amorphous silicon (a-Si)…

The microscopic model in which nodes interacting with each other are statistical systems is introduced. The nodes conditions are connected with a string of distinct microscopic configurations and depend on external parameters (pressure and…

统计力学 · 物理学 2007-05-23 V. Stepanov

The discovery of high-density liquid (HDL) and low-density liquid (LDL) water has been a major success of molecular simulations, yet extending this analysis to interfacial water is challenging due to conventional order parameters assuming…

软凝聚态物质 · 物理学 2025-09-03 Pal Jedlovszky , Christoph Dellago , Marcello Sega

Machine learning methods are being explored in many areas of science, with the aim of finding solution to problems that evade traditional scientific approaches due to their complexity. In general, an order parameter capable of identifying…

软凝聚态物质 · 物理学 2017-07-18 Adrián Soto , Deyu Lu , Shinjae Yoo , Mariví Fernández-Serra

We implement a computational pipeline based on a recent machine learning technique, namely the Topological Data Analysis (TDA), that has the capability of extracting powerful information-carrying topological features. We apply such a method…

强关联电子 · 物理学 2025-03-11 Andrea Tirelli , Natanael C. Costa

We investigate the phase behavior of a single-component system in 3 dimensions with spherically-symmetric, pairwise-additive, soft-core interactions with an attractive well at a long distance, a repulsive soft-core shoulder at an…

软凝聚态物质 · 物理学 2009-11-07 G. Franzese , G. Malescio , A. Skibinsky , S. V. Buldyrev , H. E. Stanley

An open question is whether the liquid and glassy phases of water are thermodynamically distinct or continuous. Here we address this question using molecular dynamics simulations in comparison with neutron scattering experiments to study…

凝聚态物理 · 物理学 2007-05-23 Francis W. Starr , Marie-Claire Bellissent-Funel , H. Eugene Stanley

Experimental and modeling/simulation studies of phase equilibrium and growth morphologies of novel polymer-dispersed liquid crystal (PDLC) mixtures of PS (polystyrene) and liquid crystals that exhibit a direct isotropic/smectic-A (lamellar)…

软凝聚态物质 · 物理学 2015-05-13 Ezequiel R. Soule , Nasser Mohieddin Abukhdeir , Alejandro D. Rey

Topological data analysis (TDA) is an area of data science that focuses on using invariants from algebraic topology to provide multiscale shape descriptors for geometric data sets such as point clouds. One of the most important such…

计算几何 · 计算机科学 2023-06-21 David Loiseaux , Mathieu Carrière , Andrew J. Blumberg

This article proposes a topological method that extracts hierarchical structures of various amorphous solids. The method is based on the persistence diagram (PD), a mathematical tool for capturing shapes of multiscale data. The input to the…

We experimentally investigate the nature of 2D phase transitions in a quasi-2D granular fluid. Using a surface decorated with periodically spaced dimples we observe interfacial tension between coexisting liquid and crystal phases.…

软凝聚态物质 · 物理学 2022-01-05 J. G. Downs , N. D. Smith , K. K. Mandadapu , J. P. Garrahan , M. I. Smith

In this paper we develop a novel Topological Data Analysis (TDA) approach for studying graph representations of time series of dynamical systems. Specifically, we show how persistent homology, a tool from TDA, can be used to yield a…

混沌动力学 · 物理学 2020-01-28 Audun Myers , Elizabeth Munch , Firas A. Khasawneh

We use a series of molecular dynamics simulations, and analytical theory, to demonstrate that a system of hard spheres confined to a narrow cylindrical channel exhibits a continuous phase transition from an isotropic fluid at low densities,…

软凝聚态物质 · 物理学 2014-09-18 Mahdi Zaeifi Yamchi , Richard K. Bowles

Using molecular dynamics simulations, we study a liquid model which consists of particles interacting via a spherically-symmetric two-scale Jagla ramp potential with both repulsive and attractive ramps. The Jagla potential displays…

软凝聚态物质 · 物理学 2009-11-11 Limei Xu , Sergey V. Buldyrev , C. Austen Angell , H. Eugene Stanley

Recent experimental results indicate that phosphorus, a single-component system, can have two liquid phases: a high-density liquid (HDL) and a low-density liquid (LDL) phase. A first-order transition between two liquids of different…

We investigate ice polyamorphism in the context of the two-dimensional Mercedes-Benz model of water. We find a first-order phase transition between a crystalline phase and a high-density amorphous phase. Furthermore we find a reversible…

介观与纳米尺度物理 · 物理学 2013-01-25 Julyan H. E. Cartwright , Oreste Piro , Pedro A. Sánchez , Tomás Sintes

Topological methods can provide a way of proposing new metrics and methods of scrutinising data, that otherwise may be overlooked. In this work, a method of quantifying the shape of data, via a topic called topological data analysis will be…

机器学习 · 统计学 2022-09-25 Tristan Gowdridge , Nikolaos Dervilis , Keith Worden

Under many circumstances many soft and hard materials are present in a puzzling wealth of non-equilibrium amorphous states, whose properties are not stationary and depend on preparation. They are often summarized in unconventional "phase…

软凝聚态物质 · 物理学 2021-04-20 Jesús Benigno Zepeda-López , Magdaleno Medina-Noyola

The study of phase transitions using data-driven approaches is challenging, especially when little prior knowledge of the system is available. Topological data analysis is an emerging framework for characterizing the shape of data and has…

统计力学 · 物理学 2021-05-26 Quoc Hoan Tran , Mark Chen , Yoshihiko Hasegawa

Topological data analysis (TDA) is a new emerging and powerful tool to understand the medium range structure ordering of multi-scale data. This study investigates the density anomalies observed during cooling of liquid silica from…

材料科学 · 物理学 2023-10-05 Andrea Tirelli , Kousuke Nakano