Theories of Liquids

Barker, John A.; Henderson, Douglas

doi:10.1146/annurev.pc.20.100169.001123

Cited by 19 publications

(4 citation statements)

References 17 publications

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“…T h e linear time dependence of (R2(t)) is in fact achieved at t -1 . 5 ~ 10-12s, and the diffusion constant D = 1.8 x 10-5 cm2 s-1 is in good agreement with the value D = 1.9 x 10-5 cm2 s-1 obtained by interpolating from values obtained by Naghizadeh and Rice (1962) at 84 and 90 K. Nijboer and Rahman (1966) and Levesque and Verlet (1970) have tested the Gaussian approximation to Fs( K , t ) against molecular dynamics calculations. This is a stringent test because the exact values of w(t) are used.…”

Section: Gaussian Approximation Simple Resultssupporting

confidence: 82%

“…where Ro2 is defined by equation (2.35). The coefficient of t4 is given by Nijboer and Rahman (1966). To extend the range of equation ( 6.1) to include the short-time behaviour in (6.4) we include the effect of the particle's motion on the motions of the particles in the medium by making the frictional force time-dependent, and, following Mori (1965a), we introduce a memory function K(t) such that .i(t)= -J; dfK(t-f)v(f)+f(t).…”

Section: Genevalixed Langevin Equationmentioning

confidence: 99%

“…The MD technique has been described by many authors (Alder and Wainwright 1957, Rahman 1964a, Verlet 1967. The reviews of Neece and Widom (1969) and of Berne and Forster (1971) contain more general descriptions of the method. The reader is also referred to two short reviews by Rahman (1969Rahman ( , 1972b.…”

Section: Introductory Remarksmentioning

confidence: 99%

“…The reviews of Neece and Widom (1969) and of Berne and Forster (1971) contain more general descriptions of the method. The reader is also referred to two short reviews by Rahman (1969Rahman ( , 1972b. By way of illustration we shall outline the main features of the first MD calculations on a Lennard-Jones (LJ) system performed by Rahman (1964a).…”

Section: Introductory Remarksmentioning

confidence: 99%

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The dynamic properties of monatomic liquids

1975

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The computer simulation and inelastic neutron scattering studies of simple, monatomic liquids are reviewed, together with the theory appropriate for their interpretation. All three aspects of the dynamic properties of monatomic liquids began a new era of development around 1965, and the review is concerned chiefly with the experiments and theory reported in the intervening decade.Computer simulation (molecular dynamics) studies have featured strongly in the development of non-equilibrium statistical mechanics techniques for the calculation of correlation functions that enter the various measured susceptibilities. In fact molecular dynamics studies of systems interacting via continuous potentials have developed to the level of sophistication where they set a standard for neutron scattering experiments. The neutron experiments are difficult to perform with high accuracy, yet they offer a unique means of investigating the dynamics of simple liquids in the domain of wavevectors and frequencies larger than about 0.05 A-1 and 5 x 1011 s-1 respectively. The problems faced in analysing neutron data to the level required today are reviewed in detail, with particular attention to multiple scattering corrections. A review of neutron experiments on monatomic liquids shows that surprisingly few bear close scrutiny today. Theory has developed through the rigorous generalization of the Markovian theory of fluctuations set out by Landau and Lifshitz (1959). The development has taken the form of a generalized Langevin equation, proposed by Zwanzig (1961) and Mori (1965a), which provides a framework within which neutron and molecular dynamics data may be interpreted. The technique is reviewed, related to linear response theory, and used to summarize the recent theories.

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Section: Gaussian Approximation Simple Resultssupporting

confidence: 82%

Section: Genevalixed Langevin Equationmentioning

confidence: 99%

Section: Introductory Remarksmentioning

confidence: 99%

Section: Introductory Remarksmentioning

confidence: 99%

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The dynamic properties of monatomic liquids

1975

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p, V, T‐Messungen an zwanzig organischen Flüssigkeiten

Kuß

Taslimi

1970

Chemie Ingenieur Technik

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Light Scattering of a Concentrated W/O Micro Emulsion; Application of Modern Fluid Theories

Caljé

Agterof

Vrij

1977

Micellization, Solubilization, and Microemulsions

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The osmotic compressibility of a concentrated dispersion of water droplets in an organic solvent (micro emulsion) derived from light scattering experiments, is interpretated with modern fluid theories.It is shown that the major contribution to the osmotic compressibility stems from hard repulsive forces between the particle cores. Further it is shown that as a possible source for the attraction forces, introduced to allow for deviations from the hard sphere repulsion, short range van der Waals interaction for~es are resppnsible and that long range van der Waals inte+action forces between the water droplets are not important here.

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Theories of Liquids

Cited by 19 publications

References 17 publications

The dynamic properties of monatomic liquids

The dynamic properties of monatomic liquids

p, V, T‐Messungen an zwanzig organischen Flüssigkeiten

Light Scattering of a Concentrated W/O Micro Emulsion; Application of Modern Fluid Theories

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