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Journal articles on the topic 'Pair correlation function'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Subrahmanyam, V. "Contrasting distributions of pairwise entanglement and mutual information in Heisenberg spin systems." International Journal of Quantum Information 14, no. 06 (2016): 1640029. http://dx.doi.org/10.1142/s0219749916400293.

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The correlations between a pair of spins in a many-spin state encoded in the diagonal and off-diagonal spin–spin correlation functions. These spin functions determine the quantum correlation measures, like pair-wise concurrence, quantum discord and other measures of quantum information. We show that for isotropic and translationally invariant states, the quantum correlations depend only on the diagonal spin correlation function. The pair concurrence shows a strict short-ranged behavior. The distribution of concurrence for a random W-like state exhibits a long tail for both time-reversal invari

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2

Baranyai, András, and Gergely Tóth. "Fluctuation of the pair-correlation function." Journal of Chemical Physics 107, no. 20 (1997): 8575–76. http://dx.doi.org/10.1063/1.475009.

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3

Wedberg, Rasmus, John P. O’Connell, Günther H. Peters, and Jens Abildskov. "Pair correlation function integrals: Computation and use." Journal of Chemical Physics 135, no. 8 (2011): 084113. http://dx.doi.org/10.1063/1.3626799.

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4

Maiorov, S. A. "Pair correlation function for a dusty plasma." Plasma Physics Reports 26, no. 7 (2000): 628–31. http://dx.doi.org/10.1134/1.952901.

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5

Overhauser, A. W. "Pair-correlation function of an electron gas." Canadian Journal of Physics 73, no. 11-12 (1995): 683–86. http://dx.doi.org/10.1139/p95-101.

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The pair-correlation function p(0), at r = 0, of an electron gas is derived by a partial-wave, phase-shift analysis. The dependence of p(0) on rs, the radius of the sphere (in Bohr units) containing on average one electron, is found to be 32/(8 + 3rs)2. This analytic result, obtained with the help of a simplifying approximation, is compared with several numerical calculations. An improved formula is also derived. p(0) is an important parameter in theories of charge response or spin response whenever a perturbation, ~cos qx, has a small wave length, i.e., [Formula: see text]. Electron–electron

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6

Stillinger, Frank H., and Salvatore Torquato. "Pair Correlation Function Realizability: Lattice Model Implications†." Journal of Physical Chemistry B 108, no. 51 (2004): 19589–94. http://dx.doi.org/10.1021/jp0478155.

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7

Brańka, A. C., and D. M. Heyes. "Pair correlation function of soft-sphere fluids." Journal of Chemical Physics 134, no. 6 (2011): 064115. http://dx.doi.org/10.1063/1.3554363.

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8

Binder, Benjamin J., and Matthew J. Simpson. "Spectral analysis of pair-correlation bandwidth: application to cell biology images." Royal Society Open Science 2, no. 2 (2015): 140494. http://dx.doi.org/10.1098/rsos.140494.

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Images from cell biology experiments often indicate the presence of cell clustering, which can provide insight into the mechanisms driving the collective cell behaviour. Pair-correlation functions provide quantitative information about the presence, or absence, of clustering in a spatial distribution of cells. This is because the pair-correlation function describes the ratio of the abundance of pairs of cells, separated by a particular distance, relative to a randomly distributed reference population. Pair-correlation functions are often presented as a kernel density estimate where the frequen

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9

Yang, Zon-Yee, and Shin-Chen Lo. "Describing the geometrical packing of gravelly cobble deposits using pair-correlation functions." Canadian Geotechnical Journal 38, no. 6 (2001): 1343–53. http://dx.doi.org/10.1139/t01-065.

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There is a close correlation between the mechanical behavior of gravelly cobbles and their geometrical fabric. In geotechnical engineering, the particle-size distribution curve is used to describe the particle gradation. However, a group of particles with the same particle-size distribution can result in several packing arrangements due to the different sedimentation processes. The particle-size distribution curve does not distinguish this characteristic. This study attempts to employ the pair-correlation function of point field theory for describing the geometric packing of gravelly cobble de

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10

Kolokolov, I. V., V. V. Lebedev, and M. M. Tumakova. "Korrelyatsii zavikhrennosti vnutri kogerentnogo vikhrya." Журнал экспериментальной и теоретической физики 163, no. 6 (2023): 881–91. http://dx.doi.org/10.31857/s0044451023060147.

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We investigate fluctuations of vorticity inside a coherent vortex generated by the inverse energy cascade in two-dimensional turbulence. Temporal and spatial correlations can be characterized by the pair correlation function. The interaction of fluctuations leads to a nonzero third moment of vorticity. We analyze the pair correlation function and the third moment using a model in which the pumping is short-correlated in time and derive explicit expressions for the Gaussian spatial correlation function for the pumping force.

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11

Conrey, Brian, and Jonathan P. Keating. "Pair correlation and twin primes revisited." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2194 (2016): 20160548. http://dx.doi.org/10.1098/rspa.2016.0548.

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We establish a connection between the conjectural two-over-two ratios formula for the Riemann zeta-function and a conjecture concerning correlations of a certain arithmetic function. Specifically, we prove that the ratios conjecture and the arithmetic correlations conjecture imply the same result. This casts a new light on the underpinnings of the ratios conjecture, which previously had been motivated by analogy with formulae in random matrix theory and by a heuristic recipe.

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12

Inui, Norio, Genichi Komatsu, and Koichi Kameoka. "Pair-Correlation Function of Random Diode-Insulation Network." Journal of the Physical Society of Japan 66, no. 3 (1997): 607–12. http://dx.doi.org/10.1143/jpsj.66.607.

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13

Bonnier, B., D. Boyer, and P. Viot. "Pair correlation function in random sequential adsorption processes." Journal of Physics A: Mathematical and General 27, no. 11 (1994): 3671–82. http://dx.doi.org/10.1088/0305-4470/27/11/017.

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14

Götzelmann, B., and S. Dietrich. "Pair correlation function of inhomogeneous hard sphere fluids." Fluid Phase Equilibria 150-151 (September 1998): 565–71. http://dx.doi.org/10.1016/s0378-3812(98)00303-3.

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15

Møller, Jesper, and Giovanni Luca Torrisi. "The pair correlation function of spatial Hawkes processes." Statistics & Probability Letters 77, no. 10 (2007): 995–1003. http://dx.doi.org/10.1016/j.spl.2007.01.007.

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16

Scalas, E., and R. Ferrando. "Pair-correlation function in two-dimensional lattice gases." Physical Review E 49, no. 1 (1994): 513–20. http://dx.doi.org/10.1103/physreve.49.513.

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17

Hamad, Esam. "Consistency test for mixture pair correlation function integrals." Journal of Chemical Physics 101, no. 11 (1994): 10195–96. http://dx.doi.org/10.1063/1.468011.

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18

Shelest, A. V. "Infrared asymptotics of nonequilibrium plasma pair correlation function." Il Nuovo Cimento D 9, no. 12 (1987): 1529–32. http://dx.doi.org/10.1007/bf02451132.

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19

Eu, Byung Chan, and Hin Hark Gan. "On integral equations for the pair correlation function." Physica A: Statistical Mechanics and its Applications 171, no. 2 (1991): 265–84. http://dx.doi.org/10.1016/0378-4371(91)90278-k.

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20

Proynov, Emil I., and Dennis R. Salahub. "Simple but efficient correlation functional from a model pair-correlation function." Physical Review B 49, no. 12 (1994): 7874–86. http://dx.doi.org/10.1103/physrevb.49.7874.

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21

SONO, KEIJU. "PAIR CORRELATION OF LOW-LYING ZEROS OF QUADRATIC -FUNCTIONS." Nagoya Mathematical Journal 223, no. 1 (2016): 87–135. http://dx.doi.org/10.1017/nmj.2016.26.

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In this paper, we investigate the nontrivial zeros of quadratic $L$-functions near the real axis. Assuming the generalized Riemann hypothesis, we give an asymptotic formula for the weighted pair correlation function of quadratic $L$-functions associated to the Kronecker symbols. From this formula, we obtain several results on the rate of simple zeros of quadratic $L$-functions and on the average distance of such nontrivial zeros.

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22

Murray Gibson, J. "Understanding the limits of pair-distribution functions for nanoscale correlation function measurement." Journal of Physics: Condensed Matter 19, no. 45 (2007): 455217. http://dx.doi.org/10.1088/0953-8984/19/45/455217.

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23

Sharma, Prachi, Jie J. Bao, Donald G. Truhlar, and Laura Gagliardi. "Multiconfiguration Pair-Density Functional Theory." Annual Review of Physical Chemistry 72, no. 1 (2021): 541–64. http://dx.doi.org/10.1146/annurev-physchem-090419-043839.

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Kohn-Sham density functional theory with the available exchange–correlation functionals is less accurate for strongly correlated systems, which require a multiconfigurational description as a zero-order function, than for weakly correlated systems, and available functionals of the spin densities do not accurately predict energies for many strongly correlated systems when one uses multiconfigurational wave functions with spin symmetry. Furthermore, adding a correlation functional to a multiconfigurational reference energy can lead to double counting of electron correlation. Multiconfiguration p

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24

Bose, Anirban. "Effect of triplet correlation on the equation of pair correlation function in a weakly coupled inhomogeneous plasma system." Journal of Statistical Mechanics: Theory and Experiment 2023, no. 11 (2023): 113205. http://dx.doi.org/10.1088/1742-5468/ad0631.

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Abstract It is observed that retaining the triplet correlation to derive the equation of pair correlation function from the first two members of BBGKY hierarchy, modifies the structure of the equation and the pair correlation function significantly. This equation may be used to explore the thermodynamic properties of the weakly coupled inhomogeneous plasma systems. This study may also be relevant for homogeneous plasmas.

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25

Santarelli, C., and J. Fröhlich. "On the pair correlation function in a bubble swarm." Kerntechnik 78, no. 1 (2013): 50–51. http://dx.doi.org/10.3139/124.110312.

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26

Ashraf, S. S. Z., Kavita N. Mishra, and A. C. Sharma. "Static structure factor and pair correlation function of graphene." Journal of Physics: Condensed Matter 22, no. 35 (2010): 355303. http://dx.doi.org/10.1088/0953-8984/22/35/355303.

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27

Ballani, Felix. "The surface pair correlation function for stationary Boolean models." Advances in Applied Probability 39, no. 1 (2007): 1–15. http://dx.doi.org/10.1239/aap/1175266466.

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The random surface measure of a stationary Boolean model with grains from the convex ring is considered. A sufficient condition and a necessary condition for the existence of the density of the second-order moment measure of are given and a representation of this density is derived. As applications, the surface pair correlation functions of a Boolean model with spheres and a Boolean model with randomly oriented right circular cylinders in ℝ3 are determined.

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28

Philippe, T., S. Duguay, and D. Blavette. "Clustering and pair correlation function in atom probe tomography." Ultramicroscopy 110, no. 7 (2010): 862–65. http://dx.doi.org/10.1016/j.ultramic.2010.03.004.

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29

Ballani, Felix. "The surface pair correlation function for stationary Boolean models." Advances in Applied Probability 39, no. 01 (2007): 1–15. http://dx.doi.org/10.1017/s0001867800001579.

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The random surface measure of a stationary Boolean model with grains from the convex ring is considered. A sufficient condition and a necessary condition for the existence of the density of the second-order moment measure of are given and a representation of this density is derived. As applications, the surface pair correlation functions of a Boolean model with spheres and a Boolean model with randomly oriented right circular cylinders in ℝ3 are determined.

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30

Rudnick, Zeév, and Peter Sarnak. "The Pair Correlation Function of Fractional Parts of Polynomials." Communications in Mathematical Physics 194, no. 1 (1998): 61–70. http://dx.doi.org/10.1007/s002200050348.

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31

Miller, J. D. "Exact Pair Correlation Function of a Randomly Branched Polymer." Europhysics Letters (EPL) 16, no. 7 (1991): 623–28. http://dx.doi.org/10.1209/0295-5075/16/7/003.

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32

Largo, J., J. R. Solana, S. B. Yuste, and A. Santos. "Pair correlation function of short-ranged square-well fluids." Journal of Chemical Physics 122, no. 8 (2005): 084510. http://dx.doi.org/10.1063/1.1855312.

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33

Mayers, J. "Bose condensation and the static pair correlation function in4He." Journal of Low Temperature Physics 109, no. 1-2 (1997): 153–62. http://dx.doi.org/10.1007/bf02396729.

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34

Zhang, M. Q. "Pair correlation function for Ising spins with competing dynamics." Journal of Statistical Physics 53, no. 5-6 (1988): 1217–25. http://dx.doi.org/10.1007/bf01023865.

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35

Wielopolski, P. A., D. J. Evans, and J. W. White. "On the pair correlation function of an intercalated fluid." Chemical Physics Letters 166, no. 5-6 (1990): 602–4. http://dx.doi.org/10.1016/0009-2614(90)87157-m.

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36

Clements, B. E., C. E. Campbell, P. J. Samsel, and F. J. Pinski. "Molecular-dynamics simulation of the static pair-pair correlation function for classical fluids." Physical Review A 44, no. 2 (1991): 1139–47. http://dx.doi.org/10.1103/physreva.44.1139.

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37

Aistleitner, Christoph, Daniel El-Baz, and Marc Munsch. "A pair correlation problem, and counting lattice points with the zeta function." Geometric and Functional Analysis 31, no. 3 (2021): 483–512. http://dx.doi.org/10.1007/s00039-021-00564-6.

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AbstractThe pair correlation is a localized statistic for sequences in the unit interval. Pseudo-random behavior with respect to this statistic is called Poissonian behavior. The metric theory of pair correlations of sequences of the form $$(a_n \alpha )_{n \ge 1}$$ ( a n α ) n ≥ 1 has been pioneered by Rudnick, Sarnak and Zaharescu. Here $$\alpha $$ α is a real parameter, and $$(a_n)_{n \ge 1}$$ ( a n ) n ≥ 1 is an integer sequence, often of arithmetic origin. Recently, a general framework was developed which gives criteria for Poissonian pair correlation of such sequences for almost every re

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38

Balčiūnas, Aidas, Virginija Garbaliauskienė, Julija Karaliūnaitė, Renata Macaitienė, Jurgita Petuškinaitė, and Audronė Rimkevičienė. "JOINT DISCRETE APPROXIMATION OF A PAIR OF ANALYTIC FUNCTIONS BY PERIODIC ZETA-FUNCTIONS." Mathematical Modelling and Analysis 25, no. 1 (2020): 71–87. http://dx.doi.org/10.3846/mma.2020.10450.

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In the paper, the problem of simultaneous approximation of a pair of analytic functions by a pair of discrete shifts of the periodic and periodic Hurwitz zeta-function is considered. The above shifts are deﬁned by using the sequence of imaginary parts of non-trivial zeros of the Riemann zeta-function. For the proof of approximation theorems, a weak form of the Montgomery pair correlation conjecture is applied.

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39

Vechernin, Vladimir. "String model calculation of the strongly intensive observables for multiplicities in two windows." EPJ Web of Conferences 204 (2019): 06004. http://dx.doi.org/10.1051/epjconf/201920406004.

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We calculate the strongly intensive observables for multiplicities in two rapidity windows in the model with independent identical strings taking into account the charge sign of particles. We express the observables through the string pair correlation functions describing the correlations between the same and opposite sign particles produced in a string decay. We extract these charge-wise string two-particle correlation functions from the ALICE data on the forward-backward correlations and the balance function. Using them we predict the behavior of the charge-wise strongly intensive observable

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40

Garg, Vinayak, Akariti Sharma, and R. K. Moudgil. "Finite-T correlations and free exchange-correlation energy of quasi-one-dimensional electron gas." Modern Physics Letters B 32, no. 05 (2018): 1850060. http://dx.doi.org/10.1142/s0217984918500604.

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We have studied the effect of temperature on static density–density correlations and plasmon excitation spectrum of quasi-one-dimensional electron gas (Q1DEG) using the random phase approximation (RPA). Numerical results for static structure factor, pair-correlation function, static density susceptibility, free exchange-correlation energy and plasmon dispersion are presented over a wide range of temperature and electron density. As an interesting result, we find that the short-range correlations exhibit a non-monotonic dependence on temperature T, initially growing stronger (i.e. the pair-corr

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41

CARRUTHERS, P., H. C. EGGERS, QIANG GAO, and INA SARCEVIC. "CORRELATIONS AND INTERMITTENCY IN HIGH ENERGY MULTIHADRON DISTRIBUTIONS." International Journal of Modern Physics A 06, no. 17 (1991): 3031–60. http://dx.doi.org/10.1142/s0217751x91001489.

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The linked-pair approximation to the hierarchy of cumulant correlation functions is tested in the central rapidity domain, where approximate translation invariance is appropriate. The bin-averaged factorial moments up to the fifth order are well described in terms of the second-order experimental moment for final states created in hadronic collisions. Given the two-particle correlation function, the only constants appearing in the higher moments are very close to those-appropriate to the negative binomial distribution, as pointed out recently by De Wolf. The close correspondence of the linked-

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42

Sedelmeyer, B., and S. Steeb. "Structure of Ni-P Melts by X-Ray Diffraction." Zeitschrift für Naturforschung A 52, no. 3 (1997): 284–88. http://dx.doi.org/10.1515/zna-1997-0308.

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Abstract X-ray diffraction was done with molten Ni81 P19 (930°C) and with molten Ni68.8 P31.2 (1160°C). The second peak of the structure factor and the pair correlation function of the Ni81P19 -melt shows a shoulder, as was observed for amorphous Ni80P20 . The first two peaks in the pair correlation function can be modelled using crystalline Ni3 P besides molten Ni. In the case of Ni68.8P31.2 , the first peak in the pair correlation function was modelled using the distance and coordination number as in crystalline Ni2P.

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43

Cuny, Nicolas, Romain Mari, and Eric Bertin. "Derivation of a constitutive model for the rheology of jammed soft suspensions from particle dynamics." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 3 (2022): 033206. http://dx.doi.org/10.1088/1742-5468/ac50b3.

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Abstract Considering the rheology of two-dimensional soft suspensions above the jamming density, we derive a tensorial constitutive model from the microscopic particle dynamics. Starting from the equation governing the N-particle distribution, we derive an evolution equation for the stress tensor. This evolution equation is not closed, as it involves the pair and three-particle correlation functions. To close this equation, we first employ the standard Kirkwood closure relation to express the three-particle correlation function in terms of the pair correlation function. Then we use a simple an

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44

Niedziela, Jeremi. "Studying the strong interaction with baryon-(anti)baryon femtoscopy in Pb-Pb collisions measured by ALICE." EPJ Web of Conferences 177 (2018): 04008. http://dx.doi.org/10.1051/epjconf/201817704008.

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The shape of the baryon-(anti)baryon femtoscopic correlation function is influenced by the size of the emission source, strong and Coulomb interactions and Quantum Statistics. Another factor introducing additional correlation structures is related to the residual correlations, which are related to the fact that baryons may come from decays of heavier particles. The correlation function of a given pair of baryons (for example pp) is closely connected with correlation functions of other particles (such as pΛ). Analysing correlation functions of multiple baryon pairs simultaneously can further co

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45

Jalilian, Abdollah, and Rasmus Waagepetersen. "Fast bandwidth selection for estimation of the pair correlation function." Journal of Statistical Computation and Simulation 88, no. 10 (2018): 2001–11. http://dx.doi.org/10.1080/00949655.2018.1428606.

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46

Moore, Steven M., and Harold J. Raveché. "Towards a density functional theory of the pair correlation function." Journal of Chemical Physics 86, no. 7 (1987): 4157–61. http://dx.doi.org/10.1063/1.451926.

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47

Pugnaloni, Luis A., Guillermo J. Zarragoicoechea, and Fernando Vericat. "Cluster pair correlation function of simple fluids: Energetic connectivity criteria." Journal of Chemical Physics 125, no. 19 (2006): 194512. http://dx.doi.org/10.1063/1.2378920.

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48

Altenberger, Andrzej R., and John S. Dahler. "On the galactic pair correlation function for a gravitational plasma." Astrophysical Journal 421 (January 1994): L9. http://dx.doi.org/10.1086/187174.

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49

Pandey, D., and P. Tiwary. "Diffuse scattering from stacking faults: scaling of pair correlation function." Acta Crystallographica Section A Foundations of Crystallography 67, a1 (2011): C77. http://dx.doi.org/10.1107/s0108767311098114.

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50

Belyi, V. V., and Yu A. Kukharenko. "Pair correlation function for plasma with polarization and exchange interaction." Journal of Physics: Conference Series 35 (April 1, 2006): 71–77. http://dx.doi.org/10.1088/1742-6596/35/1/006.

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