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相关论文: Estimating Gibbs free energies via isobaric-isothe…

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Boltzmann generators (BGs) are now recognized as forefront generative models for sampling equilibrium states of many-body systems in the canonical ensemble, as well as for calculating the corresponding Helmholtz free energy. Furthermore,…

统计力学 · 物理学 2023-05-16 Steyn van Leeuwen , Alberto Pérez de Alba Ortíz , Marjolein Dijkstra

We present a machine-learning approach, based on normalizing flows, for modelling atomic solids. Our model transforms an analytically tractable base distribution into the target solid without requiring ground-truth samples for training. We…

A methodology to sample the isothermal-isobaric ensemble using Langevin dynamics is proposed, which combines novel features of geometric integrators for the equations of motion. By employing the Trotter expansion, the methodology generates…

统计力学 · 物理学 2018-08-29 Samuel Cajahuaringa , Alex Antonelli

We develop a method to fit high-temperature Gibbs free energy data for the development of interatomic potentials for atomic systems. The approach is based on Hamiltonian thermodynamic integration, enabling the identification of suitable…

材料科学 · 物理学 2026-03-04 Liangrui Wei , Yang Sun

We simulate the homogeneous nucleation of ice from supercooled liquid water at 220 K in the isobaric-isothermal ensemble using the MW monatomic water potential. Monte Carlo simulations using umbrella sampling are performed in order to…

统计力学 · 物理学 2012-02-02 Aleks Reinhardt , Jonathan P. K. Doye

Taking advantage of the advances in generative deep learning, particularly normalizing flow, a framework, called Boltzmann Generator, has recently been proposed for the purpose of generating equilibrium atomic configurations from the…

统计力学 · 物理学 2022-07-27 Rasool Ahmad , Wei Cai

We devise automated workflows for the calculation of Helmholtz and Gibbs free energies and their temperature and pressure dependence and provide the corresponding computational tools. We employ non-equilibrium thermodynamics for evaluating…

材料科学 · 物理学 2021-10-13 Sarath Menon , Yury Lysogorskiy , Jutta Rogal , Ralf Drautz

The critical behavior of a 3D Ising-like system is studied at the microscopic level of consideration. The free energy of ordering is calculated analytically as an explicit function of temperature, an external field and the initial…

统计力学 · 物理学 2012-02-22 M. P. Kozlovskii , R. V. Romanik

The Gibbs free energy is the fundamental thermodynamic potential underlying the relative stability of different states of matter under constant-pressure conditions. However, computing this quantity from atomic-scale simulations is far from…

材料科学 · 物理学 2018-02-14 Bingqing Cheng , Michele Ceriotti

A recently proposed method for computer simulations in the isothermal-isobaric (NPT) ensemble, based on Langevin-type equations of motion for the particle coordinates and the ``piston'' degree of freedom, is re-derived by straightforward…

软凝聚态物质 · 物理学 2016-08-31 A. Kolb , B. Duenweg

In this paper we discuss how the information contained in atomistic simulations of homogeneous nucleation should be used when fitting the parameters in macroscopic nucleation models. We show how the number of solid and liquid atoms in such…

统计力学 · 物理学 2017-10-11 Bingqing Cheng , Gareth A. Tribello , Michele Ceriotti

Normalizing flows can transform a simple prior probability distribution into a more complex target distribution. Here, we evaluate the ability and efficiency of generative machine learning methods to sample the Boltzmann distribution of an…

软凝聚态物质 · 物理学 2024-09-16 Gerhard Jung , Giulio Biroli , Ludovic Berthier

A method based on the Gibbs' adsorption isotherm is developed to calculate the decrease in interfacial free energy resulting from solute segregation at an internal interface, built on measured concentration profiles. Utilizing atom-probe…

材料科学 · 物理学 2020-03-04 Ivan Blum , Sung-Il Baik , Mercouri G. Kanatzidis , David N. Seidman

The presented paper is an attempt to investigate the dynamical states of an hydrodynamical isothermal turbulent self-gravitating system using some powerful tools of the classical thermodynamics. Our main assumption, inspired by the work of…

星系天体物理 · 物理学 2023-11-21 Sava Donkov , Ivan Zh. Stefanov , Todor V. Veltchev

Gibbs energy representations for ice III, V and VI are reported. These were constructed using new measurements of volumes at high pressure over a range of low temperatures combined with calculated vibrational energies grounded in…

We propose a new method to compute the free energy or enthalpy of fluids or disordered solids by computer simulation . The main idea is to construct a reference system by freezing one representative configuration, and then carry out a…

计算物理 · 物理学 2011-03-16 Friederike Schmid , Tanja Schilling

The authors present a new molecular dynamics algorithm for sampling the isothermal-isobaric ensemble. In this approach the velocities of all particles and volume degrees of freedom are rescaled by a properly chosen random factor. The…

统计力学 · 物理学 2009-03-10 Giovanni Bussi , Tatyana Zykova-Timan , Michele Parrinello

We combine machine learning (ML) with Monte Carlo (MC) simulations to study the crystal nucleation process. Using ML, we evaluate the canonical partition function of the system over the range of densities and temperatures spanned during…

计算物理 · 物理学 2018-12-19 Caroline Desgranges , Jerome Delhommelle

In this paper, we study a class of multilinear Gibbs measures with Hamiltonian given by a generalized $\mathrm{U}$-statistic and with a general base measure. Expressing the asymptotic free energy as an optimization problem over a space of…

概率论 · 数学 2026-03-31 Sohom Bhattacharya , Nabarun Deb , Sumit Mukherjee

Simulating transition dynamics between metastable states is a fundamental challenge in dynamical systems and stochastic processes with wide real-world applications in understanding protein folding, chemical reactions and neural activities.…

机器学习 · 计算机科学 2024-10-22 Haibo Wang , Yuxuan Qiu , Yanze Wang , Rob Brekelmans , Yuanqi Du
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