Fisher M 1964 Correlation functions and the critical region of simple fluids J. Math. Phys. 5 944 [Pg.552]

Auto-correlation and Inter-correlation Functions allow a good discrimination between these two types of defects by quantifying the resemblance between the different echoes and their derivatives. [Pg.226]

The singlet direct correlation function C r) is defined through the relationship C Ur) = + --/t] [Pg.563]

By analogy with the correlation function for the ftilly coupled system, the pair correlation ftmction g(r A) for an intennediate values of A is given by [Pg.474]

Figure A2.4.11. Water pair correlation functions near the Pt(lOO) surface. In each panel, the frill curve is for water molecules in the first layer, and the broken curve is for water molecules in the second layer. From [30]. |

Voth G A, Chandler D and Miller W H 1989 Time correlation function and path integral analysis of quantum rate constants J. Phys. Chem. 93 7009 [Pg.897]

It follows that the exact expression for the pair correlation function is [Pg.471]

Wahnstrom G and Metiu H 1988 Numerical study of the correlation function expressions for the thermal rate coefficients in quantum systems J. Phys. Chem. JPhCh 92 3240-52 [Pg.1004]

Hwang L-P and Freed J H 1975 Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in liquids J. Chem. Rhys. 63 4017-25 [Pg.1516]

Forster D 1975 Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions (New York Benjamin) [Pg.758]

Zhu S-B, Lee J, Robinson G Wand Lin S H 1989 Theoretical study of memory kernel and velocity correlation function for condensed phase isomerization. I. Memory kernel J. Chem. Phys. 90 6335-9 [Pg.866]

In this report problem of information processing in MIA pulse flaw detectors by means of cross correlation function is considered. Such processing promises to increase the sensitivity and to reduce the noises, mainly the frictional ones. [Pg.827]

Thachuk M and Schatz G C 1992 Time dependent methods for calculating thermal rate coefficients using flux correlation functions J. Chem. Phys. 97 7297-313 [Pg.1004]

The second application is to temperature fluctuations in an equilibrium fluid [18]. Using (A3.2.321 and (A3.2.331 the correlation function for temperature deviations is found to be [Pg.706]

Lamellar morphology variables in semicrystalline polymers can be estimated from the correlation and interface distribution fiinctions using a two-phase model. The analysis of a correlation function by the two-phase model has been demonstrated in detail before [30,11] The thicknesses of the two constituent phases (crystal and amorphous) can be extracted by several approaches described by Strobl and Schneider [32]. For example, one approach is based on the following relationship [Pg.1407]

The structure of a fluid is characterized by the spatial and orientational correlations between atoms and molecules detemiiued through x-ray and neutron diffraction experiments. Examples are the atomic pair correlation fiinctions (g, g. . ) in liquid water. An important feature of these correlation functions is that [Pg.437]

In general, it is diflfieult to quantify stnietural properties of disordered matter via experimental probes as with x-ray or neutron seattering. Sueh probes measure statistieally averaged properties like the pair-correlation function, also ealled the radial distribution function. The pair-eorrelation fiinetion measures the average distribution of atoms from a partieular site. [Pg.131]

There are two approaches connnonly used to derive an analytical connection between g(i-) and u(r) the Percus-Yevick (PY) equation and the hypemetted chain (FfNC) equation. Both are derived from attempts to fomi fimctional Taylor expansions of different correlation fimctions. These auxiliary correlation functions include [Pg.562]

Hi) Gaussian statistics. Chandler [39] has discussed a model for fluids in which the probability P(N,v) of observing Y particles within a molecular size volume v is a Gaussian fimction of N. The moments of the probability distribution fimction are related to the n-particle correlation functions and [Pg.483]

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