scholarly journals Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules

1967 ◽  
Vol 159 (1) ◽  
pp. 98-103 ◽  
Author(s):  
Loup Verlet
Keyword(s):  
Computer Experiments ◽  
Thermodynamical Properties ◽  
Lennard Jones ◽  
Classical Fluids

scholarly journals Vapor−Liquid Interface of the Lennard-Jones Truncated and Shifted Fluid: Comparison of Molecular Simulation, Density Gradient Theory, and Density Functional Theory

2021 ◽  
Author(s):  
Simon Stephan ◽  
Jinlu Liu ◽  
Kai Langenbach ◽  
Walter G. Chapman ◽  
Hans Hasse
Keyword(s):  
Density Functional Theory ◽  
Density Gradient ◽  
Density Functional ◽  
Computer Experiments ◽  
Liquid Interface ◽  
Gradient Theory ◽  
Functional Theory ◽  
Lennard Jones ◽  
Density Gradient Theory ◽  
Vapor Liquid

The vapor-liquid interface of the Lennard-Jones truncated and shifted (LTJS) fluid with a cut-off radius of 2.5 σ is investigated for temperatures covering the range between the triple point and the critical point. Three different approaches to model the vapor-liquid interface are used: molecular dynamics (MD) simulations, density gradient theory (DGT) and density functional theory (DFT). The surface tension, pressure and density profiles, including the oscillatory layering structure of the fluid at the interface, are investigated. The PeTS (Perturbed truncated and shifted) equation of state and PeTS-i functional, based on perturbation theory, are used to calculate the Helmholtz free energy in the DGT and DFT approach. They are consistent with the LJTS force field model. Overall, both DGT and DFT describe the results from computer experiments well. An oscillatory layering structure is found in MD and DFT.

scholarly journals Review and Comparison of Equations of State for the Lennard-Jones Fluid

2021 ◽  
Author(s):  
Simon Stephan ◽  
Jens Staubach ◽  
Hans Hasse
Keyword(s):  
Equations Of State ◽  
Virial Coefficients ◽  
Computer Experiments ◽  
Enthalpy Of Vaporization ◽  
Homogeneous State ◽  
Critical Properties ◽  
Simple Fluids ◽  
Lennard Jones ◽  
Data Points ◽  
Point Of Departure

The Lennard-Jones (LJ) potential is widely used for describing simple fluids; it is also a point of departure for developing models of complex fluids. Thermodynamic properties of the LJ fluid have been studied by molecular simulations by many authors and a critical review of the available data, which comprises about 35,000 data points, has been published recently [J. Chem. Inf. Mod. 59 (2019) 4248–4265]. The importance of the LJ fluid has also triggered the development of a large number of equations of state (EOS). In the present work, 20 LJ EOS were critically assessed by comparing their results with consolidated data from computer experiments. A large variety of thermophysical properties was considered: vapor pressure; saturated densities; enthalpy of vaporization; critical properties; thermal, caloric, and entropic properties at homogeneous state points; and second and third virial coefficients. It was found that none of the available LJ EOS meets the following two criteria: (1) it does not yield unphysical artifacts when used for extrapolations, and (2) it describes data from computer experiments within their statistical uncertainty in most fluid regions. Furthermore, a re-parameterization of the monomer term of the PC-SAFT EOS was carried out by fitting it to data of the LJ fluid. The new LJ EOS yields good results for the LJ fluid, but does not outperform the best existing LJ EOS.

Numerical study of the low-frequency atomic dynamics in a Lennard-Jones glass

1998 ◽  
Vol 77 (2) ◽  
pp. 473-484 ◽  
Author(s):  
M. Sampoli, P. Benassi, R. Dell'Anna,
Keyword(s):  
Numerical Study ◽  
Low Frequency ◽  
Lennard Jones
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