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van der Waals theory of melting in two and three dimensions

Data up to Jan 2025

Published1983
Citations56
References34

Total Citations Per Year

Abstract

References (34)

Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids

1971 • 4,850 citations

Some Topics in the Theory of Fluids

1963 • 2,856 citations

Analysis of Classical Statistical Mechanics by Means of Collective Coordinates

1958 • 2,706 citations

Phase Transition for a Hard Sphere System

1957 • 2,419 citations

Dislocation-mediated melting in two dimensions

1979 • 2,263 citations

Theory of Two-Dimensional Melting

1978 • 1,835 citations

Exact Solution of the Percus-Yevick Integral Equation for Hard Spheres

1963 • 1,709 citations

Perturbation Theory and Equation of State for Fluids. II. A Successful Theory of Liquids

1967 • 1,617 citations

Phase Transitions of the Lennard-Jones System

1969 • 1,355 citations

Equilibrium Theory of Simple Liquids

1972 • 1,332 citations

Computer "Experiments" on Classical Fluids. II. Equilibrium Correlation Functions

1968 • 1,192 citations

Equation of State for Hard Spheres

1963 • 1,137 citations

Studies in Molecular Dynamics. II. Behavior of a Small Number of Elastic Spheres

1960 • 796 citations

On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model

1963 • 782 citations

Relationship between the Hard-Sphere Fluid and Fluids with Realistic Repulsive Forces

1971 • 628 citations

Ordering in Two Dimensions

1980 • 579 citations

Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition

1966 • 576 citations

Thermodynamic Properties of the Fluid and Solid Phases for Inverse Power Potentials

1971 • 476 citations

A rigid sphere model for the melting of argon

1964 • 329 citations

Phase Transition of the Lennard-Jones System. II. High-Temperature Limit

1970 • 329 citations

Intermolecular Forces and the Nature of the Liquid State

1967 • 222 citations

Phase diagram of the two-dimensional Lennard-Jones system; Evidence for first-order transitions

1981 • 212 citations

On the Partition Function of a One-Dimensional Gas

1959 • 206 citations

Equilibrium Structure of Simple Liquids

1970 • 199 citations

Molecular-dynamics study of melting in two dimensions. Inverse-twelfth-power interaction

1982 • 177 citations

Melting in Two Dimensions is First Order: An Isothermal-Isobaric Monte Carlo Study

1980 • 137 citations

High-Temperature Equation of State

1966 • 91 citations

The two-dimensional Lennard-Jones system: Sublimation, vaporization, and melting

1981 • 85 citations

The repulsive part of the effective interatomic potential for liquid metals

1975 • 83 citations

Perturbation theory for solids

1974 • 75 citations

Constant pressure molecular dynamics simulations of the 2D r−12 system: Comparison with isochores and isotherms

1981 • 68 citations

Computer simulation of melting in a two-dimensional Lennard-Jones system

1981 • 63 citations

Long-Range Interaction between Metastable Helium and Ground State Helium

1971 • 25 citations

Reexamination of Van Der Waals model for soft-core molecules

1980 • 3 citations

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van der Waals theory of melting in two and three dimensions (1983) – The Journal of Chemical Physics | Metascience Observatory Explorer