The DOI matches its Crossref record; 159 of the 159 references it cites were found in a registry or an index.
What is "liquid"? Understanding the states of matter
Abstract
Liquids exist in a relatively small part of the enormous range of temperatures and pressures existing in the universe. Nevertheless, they are of vital importance for physics and chemistry, for technology, and for life itself. A century of effort since the pioneering work of van der Waals has led to a fairly complete basic understanding of the static and dynamic physicochemical properties of liquids. Advances in statistical mechanics (the fundamental formulations of Gibbs and Boltzmann, integral equations and perturbation theories, computer simulations), in knowledge of intermolecular forces, and in experimental techniques; have all contributed to this. Thirty years ago the very existence of liquids seemed a little mysterious; today one can make fairly precise predictions of the solid-liquid-gas phase diagram and of the microscopic and macroscopic static and dynamic properties of liquids. This paper is a survey, with particular emphasis on equilibrium properties, of the theory which underlies that basic understanding, which is now at least comparable with our understanding of the physics of solids.
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Cites
Equation of State Calculations by Fast Computing Machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953) · The Journal of Chemical Physics · doi:10.1063/1.1699114 · Cited by 37,192
Free Energy of a Nonuniform System. I. Interfacial Free Energy
Cahn, J. W., & Hilliard, J. E. (1958) · The Journal of Chemical Physics · doi:10.1063/1.1744102 · Cited by 10,437
Quantum Mechanics and Path Integrals
(1966) · Students Quarterly Journal · doi:10.1049/sqj.1966.0063 · Cited by 9,537
Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules
Verlet, L. (1967) · Physical Review · doi:10.1103/physrev.159.98 · Cited by 9,534
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
Statistical mechanics of chain molecules
Flory, P. J., & Volkenstein, M. (1969) · Biopolymers · doi:10.1002/bip.1969.360080514 · Cited by 6,427
Electric Moments of Molecules in Liquids
Onsager, L. (1936) · Journal of the American Chemical Society · doi:10.1021/ja01299a050 · Cited by 5,329
Equation of State for Nonattracting Rigid Spheres
Carnahan, N. F., & Starling, K. E. (1969) · The Journal of Chemical Physics · doi:10.1063/1.1672048 · Cited by 5,280
Role of repulsive forces in determining the equilibrium structure of simple liquids
Weeks, J. D., Chandler, D., & Andersen, H. C. (1971) · The Journal of Chemical Physics · doi:10.1063/1.1674820 · Cited by 5,207
Zur Quantentheorie der Molekeln
Born, M., & Oppenheimer, R. (1927) · Annalen der Physik · doi:10.1002/andp.19273892002 · Cited by 4,958
Cited by
Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
Stevenson, D. J. (1981) · Science · doi:10.1126/science.214.4521.611 · Cited by 500
Integral Equation Theories of the Structure, Thermodynamics, and Phase Transitions of Polymer Fluids
Schweizer, K. S., & Curro, J. G. (1997) · Advances in Chemical Physics · doi:10.1002/9780470141571.ch1 · Cited by 386
Thermomechanical properties of the WCA–Lennard-Jones model system in its fluid and solid states
Hess, S., Kröger, M., & Voigt, H. (1998) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(97)00612-2 · Cited by 52
Viscosity and diffusion in life processes and tuning of fundamental constants
Trachenko, K. (2023) · Reports on Progress in Physics · doi:10.1088/1361-6633/acfd3e · Cited by 14
Metadata
- Authors
- Barker, J. A., & Henderson, D.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1976-10-01
- Volume
- 48
- Issue
- 4
- Pages
- 587-671
- ISSN
- 0034-6861 (ISSN-L)
- OpenAlex
- W2322250088
- Cited by
- 2,104
- References
- 159
- FWCI
- 38.89
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.