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This study presents a novel pressure-based methodology for the efficient numerical solution of a four-equation two-phase diffuse interface model. The proposed methodology has the potential to simulate low-Mach flows with mass transfer. In…

流体动力学 · 物理学 2021-10-12 Andreas D. Demou , Nicoló Scapin , Marica Pelanti , Luca Brandt

A central task in many applications is reasoning about processes that change over continuous time. Continuous-Time Bayesian Networks is a general compact representation language for multi-component continuous-time processes. However, exact…

人工智能 · 计算机科学 2012-06-18 Tal El-Hay , Nir Friedman , Raz Kupferman

In this letter, using energy transfers, we demonstrate a route to thermalization in an isolated ensemble of realistic gas particles. We performed a grid-free classical molecular dynamics simulation of two-dimensional Lenard-Jones gas. We…

流体动力学 · 物理学 2024-08-13 Rauoof Wani , Mahendra Verma , Shashwat Nirgudkar , Sanat Tiwari

The computational modelling of reactions is simple in theory but can be quite tricky in practice. This article aims at the purpose of providing an assistance to a proper way of describing reactions theoretically and provides rough…

化学物理 · 物理学 2017-02-14 Arnim Hellweg , Frank Eckert

We demonstrate how an iterative method for potential inversion from distribution functions developed for simple liquid systems can be generalized to polymer systems. It uses the differences in the potentials of mean force between the…

软凝聚态物质 · 物理学 2007-05-23 Dirk Reith , Mathias Puetz , Florian Mueller-Plathe

We present a method for computing free-energy differences using thermodynamic integration with a neural network potential that interpolates between two target Hamiltonians. The interpolation is defined at the sample distribution level, and…

统计力学 · 物理学 2025-03-26 Bálint Máté , François Fleuret , Tristan Bereau

We calculate the net energy per unit time exchanged between two sets of modes in a generic system governed by a three-wave kinetic equation. Our calculation is based on the property of detailed energy conservation of the triadic resonant…

流体动力学 · 物理学 2023-01-18 Giovanni Dematteis , Yuri V. Lvov

In this work, we study by means of simulations of hard spheres the equilibrium between a spherical solid cluster and the fluid. In the NVT ensemble we observe stable/metastable clusters of the solid phase in equilibrium with the fluid,…

软凝聚态物质 · 物理学 2024-01-25 P. Montero de Hijes , Jorge. R. Espinosa , Valentino Bianco , Eduardo Sanz , Carlos Vega

We derive thermodynamic functionals for spatially inhomogeneous magnetization on a torus in the context of an Ising spin lattice model. We calculate the corresponding free energy and pressure (by applying an appropriate external field using…

概率论 · 数学 2016-08-24 A. Montino , N. Soprano-Loto , D. Tsagkarogiannis

The structural phase behaviors of pure zirconium metal under compressions up to $160$ GPa at room temperature are investigated from the perspective of ensemble theory where the partition function is solved by our recently proposed method…

材料科学 · 物理学 2022-10-21 Bo-Yuan Ning

An analytic method for deriving the free energy of a three-dimensional Ising-like system near the critical point in a homogeneous external field is developed in the $\rho^6$ model approximation. The mathematical description proposed for…

统计力学 · 物理学 2007-11-21 I. V. Pylyuk

We discuss inertial effects in systems outside equilibrium within the framework of non-equilibrium thermodynamics. By introducing a Gibbs equation in which the entropy depends on the probability density, we are able to describe a system of…

统计力学 · 物理学 2015-06-25 J. M. Rubi , A. Perez-Madrid

We have developed a new simulation algorithm for free-energy calculations. The method is a multidimensional extension of the replica-exchange method. While pairs of replicas with different temperatures are exchanged during the simulation in…

统计力学 · 物理学 2009-10-31 Yuji Sugita , Akio Kitao , Yuko Okamoto

We have set ourselves the task of obtaining the probability distribution function of the mass density of a self-gravitating isothermal compressible turbulent fluid from its physics. We have done this in the context of a new notion: the…

星系天体物理 · 物理学 2018-01-10 Sava Donkov , Ivan Stefanov

Energy-based models (EBMs) are versatile density estimation models that directly parameterize an unnormalized log density. Although very flexible, EBMs lack a specified normalization constant of the model, making the likelihood of the model…

机器学习 · 计算机科学 2024-02-20 Louis Grenioux , Éric Moulines , Marylou Gabrié

By quenching into the metastable region of the three-dimensional Ising model, we investigate the paths that the magnetization (energy) takes as a function of time. We accumulate the magnetization (energy) paths into time-dependent…

统计力学 · 物理学 2015-06-24 Armando Ticona Bustillos , Dieter W. Heermann , Claudette E. Cordeiro

We propose a method to extend the fast on-the-fly weight determination scheme for simulated tempering to two-dimensional space including not only temperature but also pressure. During the simulated tempering simulation, weight parameters…

计算物理 · 物理学 2021-12-22 Hiromune Wada , Yuko Okamoto

Although machine-learning potentials have recently had substantial impact on molecular simulations, the construction of a robust training set can still become a limiting factor, especially due to the requirement of a reference ab initio…

化学物理 · 物理学 2023-03-29 Krystof Brezina , Hubert Beck , Ondrej Marsalek

The present paper proposes an adaptive biasing potential for the computation of free energy landscapes. It is motivated by statistical learning arguments and unifies the tasks of biasing the molecular dynamics to escape free energy wells…

数学物理 · 物理学 2018-03-05 I. Bilionis , P. S. Koutsourelakis

This paper introduces a method for computing the Helmholtz free energy using the flow matching technique. Unlike previous work that utilized flow-based models for variational free energy calculations, this method provides bounds for free…

计算物理 · 物理学 2025-01-03 Lu Zhao , Lei Wang