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相关论文: The chemical potential of a Lennard Jones fluid

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The aim of this paper is to investigate the conditions for the coexistence of phases in a Lennard Jones fluid. The calculation has been performed within the virial developement mathod and, as a result, a simple approximate relation has been…

地球与行星天体物理 · 物理学 2009-02-17 V. Celebonovic

Using standard thermodynamics and previous results of the author, this paper aims to discuss the conditions for phase equilibrium in a Lennard-Jones fluid. Possibilities of astrophysical applications of the results obtained here are…

统计力学 · 物理学 2015-06-04 V. Celebonovic

A compact analytical form is derived via an integration approach for the interaction between a sphere and a thin rod of both finite and infinite lengths, with each object treated as a continuous medium of materials points interacting by the…

软凝聚态物质 · 物理学 2024-05-08 Junwen Wang , Shengfeng Cheng

The gradual insertion method for direct calculation of the chemical potential by molecular simulation is applied in the NpT ensemble to different quadrupolar two-centre Lennard-Jones fluids at high density state points. The results agree…

化学物理 · 物理学 2009-11-13 J. Vrabec , M. Kettler , H. Hasse

We present an exact procedure that allows one to calculate the scattering lenth for any potential expressed as an algebraic sum of inverse powers of the interatomic distance. We apply it to (12, $s$) Lennard-Jones potentials, with different…

量子物理 · 物理学 2014-01-28 F. J. Gomez , J. Sesma

Liquids displaying strong virial-potential energy correlations conform to an approximate density scaling of their structural and dynamical observables. This scaling property does not extend to the entire phase diagram, in general. The…

软凝聚态物质 · 物理学 2020-12-23 Thibaud Maimbourg , Jeppe C. Dyre , Lorenzo Costigliola

The aim of this work is to provide further insight into the qualitative behavior of mechanical systems that are well described by Lennard-Jones type interactions on an atomistic scale. By means of $\Gamma$-convergence techniques, we study…

偏微分方程分析 · 数学 2017-06-09 Mathias Schäffner , Anja Schlömerkemper

The Lennard-Jones 12-6 potential (LJ) is arguably the most widely used pair potential in Molecular Simulations. In fact, it is so popular that the question is rarely asked whether it is fit for purpose. In this paper, we argue that, whilst…

统计力学 · 物理学 2020-06-24 Xipeng Wang , Simòn Ramírez-Hinestrosa , Jure Dobnikar , Daan Frenkel

Multicanonical ensemble sampling simulations have been performed to calculate the phase diagram of a Lennard-Jones fluid embedded in a fractal random matrix generated through diffusion limited cluster aggregation. The study of the system at…

统计力学 · 物理学 2015-06-25 V. De Grandis , P. Gallo , M. Rovere

The numerical computation of chemical potential in dense, non-homogeneous fluids is a key problem in the study of confined fluids thermodynamics. To this day several methods have been proposed, however there is still need for a robust…

化学物理 · 物理学 2018-05-09 Claudio Perego , Omar Valsson , Michele Parrinello

It is demonstrated that the crossover between gas- and liquid-like regions on the phase diagram of the Lennard-Jones system occurs at a fixed value of the density divided by its value at the freezing point, $\rho/\rho_{\rm fr}\simeq 0.35$.…

统计力学 · 物理学 2022-03-29 Sergey Khrapak

In a recent article, Wang et al (Phys. Chem. Chem. Phys., 22, 10624 (2020)) introduced a new class of interparticle potential for molecular simulations. The potential is defined by a single range parameter, eliminating the need to decide…

统计力学 · 物理学 2023-11-08 Olivia S. Moro , Vincent Ballenegger , Tom L. Underwood , Nigel B. Wilding

We show that a number of model liquids at fixed volume exhibit strong correlations between equilibrium fluctuations of the configurational parts of (instantaneous) pressure and energy. We present detailed results for thirteen systems,…

软凝聚态物质 · 物理学 2009-11-13 Nicholas P. Bailey , Ulf R. Pedersen , Nicoletta Gnan , Thomas B. Schrøder , Jeppe C. Dyre

In the current work we revisit the pair-potential recently proposed by Wang et al. (Phys. Chem. Chem. Phys. 10624, 22, 2020) as a well defined finite-range alternative to the widely used Lennard-Jones interaction model. The advantage of…

材料科学 · 物理学 2024-07-23 Omar-Farouk Adesida , Sebastian Havens , Livia B. Partay

We present a systematic study of the thermodynamics of two and three-dimensional generalized Lennard-Jones ($LJ$) systems focusing on the relationship between the range of the potential, the system density and its dimension. We found that…

统计力学 · 物理学 2007-05-23 M. J. Ison , A. Chernomoretz , C. O. Dorso

The calculation of chemical potential has traditionally been a challenge in atomistic simulations. One of the most used approaches is Widom's insertion method in which the chemical potential is calculated by periodically attempting to…

化学物理 · 物理学 2016-07-26 Claudio Perego , Federico Giberti , Michele Parrinello

The Lennard-Jones (LJ) Potential Energy Problem is to construct the most stable form of $N$ atoms of a molecule with the minimal LJ potential energy. This problem has a simple mathematical form $f(x) = 4\sum_{i=1}^N \sum_{j=1,j<i}^N…

计算物理 · 物理学 2011-01-04 Jiapu Zhang

A simple Lennard-Jones fluid confined in a slit nanopore with hard walls is studied on the basis of a multilayer structured model. Each layer is homogeneous and parallel to the walls of the pore. The Helmholtz energy of this system is…

介观与纳米尺度物理 · 物理学 2010-03-17 G. J. Zarragoicoechea , A. G. Meyra , V. A. Kuz

Molecular dynamics simulations are used to generate an ensemble of saddles of the potential energy of a Lennard-Jones liquid. Classifying all extrema by their potential energy u and number of unstable directions k, a well defined relation…

We describe how Monte Carlo simulation within the grand canonical ensemble can be applied to the study of phase behaviour in polydisperse fluids. Attention is focused on the case of fixed polydispersity in which the form of the `parent'…

统计力学 · 物理学 2009-11-10 Nigel B. Wilding , Peter Sollich
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