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Journal articles on the topic 'Correlation functions'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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1

de Elvira, A. Ruiz, and M. J. Ortiz. "Triple correlation functions." Molecular Physics 54, no. 5 (April 10, 1985): 1213–28. http://dx.doi.org/10.1080/00268978500100961.

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2

Garrido, Pedro L., and Giovanni Gallavotti. "Billiards correlation functions." Journal of Statistical Physics 76, no. 1-2 (July 1994): 549–85. http://dx.doi.org/10.1007/bf02188675.

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3

Schneider, P., and J. Hartlap. "Constrained correlation functions." Astronomy & Astrophysics 504, no. 3 (July 16, 2009): 705–17. http://dx.doi.org/10.1051/0004-6361/200912424.

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4

van Heel, Marin, Michael Schatz, and Elena Orlova. "Correlation functions revisited." Ultramicroscopy 46, no. 1-4 (October 1992): 307–16. http://dx.doi.org/10.1016/0304-3991(92)90021-b.

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5

Li, Wentian. "Mutual information functions versus correlation functions." Journal of Statistical Physics 60, no. 5-6 (September 1990): 823–37. http://dx.doi.org/10.1007/bf01025996.

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6

Shimoji, Mitsuo, and Toshio Itami. "1.3 Time Correlation Functions and Memory Functions." Defect and Diffusion Forum 43 (January 1986): 22–34. http://dx.doi.org/10.4028/www.scientific.net/ddf.43.22.

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7

Nagao, Taro, and Miki Wadati. "Correlation Functions for Jastrow-Product Wave Functions." Journal of the Physical Society of Japan 62, no. 2 (February 15, 1993): 480–88. http://dx.doi.org/10.1143/jpsj.62.480.

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8

Sjödahl, Mikael. "Gradient Correlation Functions in Digital Image Correlation." Applied Sciences 9, no. 10 (May 24, 2019): 2127. http://dx.doi.org/10.3390/app9102127.

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The performance of seven different correlation functions applied in Digital Image Correlation has been investigated using simulated and experimentally acquired laser speckle patterns. The correlation functions were constructed as combinations of the pure intensity correlation function, the gradient correlation function and the Hessian correlation function, respectively. It was found that the correlation function that was constructed as the product of all three pure correlation functions performed best for the small speckle sizes and large correlation values, respectively. The difference between the different functions disappeared as the speckle size increased and the correlation value dropped. On average, the random error of the combined correlation function was half that of the traditional intensity correlation function within the optimum region.

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9

Veysoglu, M. E., and J. A. Kong. "Multi-Scale Correlation Functions." Progress In Electromagnetics Research 14 (1996): 279–315. http://dx.doi.org/10.2528/pier94010105.

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10

Tyc, Tomáš. "Correlation functions and spin." Physical Review E 62, no. 3 (September 1, 2000): 4221–24. http://dx.doi.org/10.1103/physreve.62.4221.

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11

Tyc, Tomáš. "Electronic-field correlation functions." Physical Review A 58, no. 6 (December 1, 1998): 4967–71. http://dx.doi.org/10.1103/physreva.58.4967.

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12

Kuzmenko, D. S., and Yu A. Simonov. "Finite-temperature correlation functions." Physics of Atomic Nuclei 64, no. 10 (October 2001): 1887–94. http://dx.doi.org/10.1134/1.1414937.

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13

Casasent, David, and Wen-Thong Chang. "Correlation synthetic discriminant functions." Applied Optics 25, no. 14 (July 15, 1986): 2343. http://dx.doi.org/10.1364/ao.25.002343.

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14

Carruthers, P. "Structure of correlation functions." Physical Review A 43, no. 6 (March 1, 1991): 2632–39. http://dx.doi.org/10.1103/physreva.43.2632.

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15

Abraham, D. B., D. O'Connor, A. O. Parry, and P. J. Upton. "Correlation functions on Cylinders." Physical Review Letters 73, no. 13 (September 26, 1994): 1742–45. http://dx.doi.org/10.1103/physrevlett.73.1742.

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16

Kapusta, J., and T. Toimela. "Gauge-invariant correlation functions." Physical Review D 39, no. 10 (May 15, 1989): 3197–99. http://dx.doi.org/10.1103/physrevd.39.3197.

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17

Gneiting, Tilmann. "Compactly Supported Correlation Functions." Journal of Multivariate Analysis 83, no. 2 (November 2002): 493–508. http://dx.doi.org/10.1006/jmva.2001.2056.

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18

Bikondoa, Oier. "On the use of two-time correlation functions for X-ray photon correlation spectroscopy data analysis." Journal of Applied Crystallography 50, no. 2 (February 17, 2017): 357–68. http://dx.doi.org/10.1107/s1600576717000577.

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Multi-time correlation functions are especially well suited to study non-equilibrium processes. In particular, two-time correlation functions are widely used in X-ray photon correlation experiments on systems out of equilibrium. One-time correlations are often extracted from two-time correlation functions at different sample ages. However, this way of analysing two-time correlation functions is not unique. Here, two methods to analyse two-time correlation functions are scrutinized, and three illustrative examples are used to discuss the implications for the evaluation of the correlation times and functional shape of the correlations.

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19

Attard, Phil. "Lennard‐Jones bridge functions and triplet correlation functions." Journal of Chemical Physics 95, no. 6 (September 15, 1991): 4471–80. http://dx.doi.org/10.1063/1.461770.

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20

Wang, H., J. Pulliainen, and M. Hallikainen. "Correlation Functions and Correlation Lengths for Dry Snow." Journal of Electromagnetic Waves and Applications 12, no. 10 (January 1998): 1337–47. http://dx.doi.org/10.1163/156939398x01420.

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21

Goulian, M., and M. Li. "Correlation functions in Liouville theory." Physical Review Letters 66, no. 16 (April 22, 1991): 2051–55. http://dx.doi.org/10.1103/physrevlett.66.2051.

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22

Ueltschi, D. "Cluster Expansions and Correlation Functions." Moscow Mathematical Journal 4, no. 2 (2004): 511–22. http://dx.doi.org/10.17323/1609-4514-2004-4-2-511-522.

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23

Brézin, E., and A. Zee. "Correlation functions in disordered systems." Physical Review E 49, no. 4 (April 1, 1994): 2588–96. http://dx.doi.org/10.1103/physreve.49.2588.

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24

Yang Yi Xian. "Correlation-immunity of Boolean functions." Electronics Letters 23, no. 25 (1987): 1335. http://dx.doi.org/10.1049/el:19870923.

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25

Fujisaka, H., and M. Inoue. "Correlation functions of temporal fluctuations." Physical Review A 39, no. 9 (May 1, 1989): 4778–82. http://dx.doi.org/10.1103/physreva.39.4778.

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26

Sandvik, A. W., and D. J. Scalapino. "Correlation functions in periodic chains." Physical Review B 47, no. 18 (May 1, 1993): 12333–36. http://dx.doi.org/10.1103/physrevb.47.12333.

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27

McCarley, J. S., and N. W. Ashcroft. "Correlation functions in classical solids." Physical Review E 55, no. 5 (May 1, 1997): 4990–5003. http://dx.doi.org/10.1103/physreve.55.4990.

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28

Helias, Moritz, Tom Tetzlaff, and Markus Diesmann. "Self-feedback shapes correlation functions." Neuroscience Research 68 (January 2010): e106. http://dx.doi.org/10.1016/j.neures.2010.07.231.

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29

Vorburger, T. V., J. F. Song, W. Chu, L. Ma, S. H. Bui, A. Zheng, and T. B. Renegar. "Applications of cross-correlation functions." Wear 271, no. 3-4 (June 2011): 529–33. http://dx.doi.org/10.1016/j.wear.2010.03.030.

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30

Park, Jeong-Hyuck. "Superconformal symmetry and correlation functions." Nuclear Physics B 559, no. 1-2 (October 1999): 455–501. http://dx.doi.org/10.1016/s0550-3213(99)00432-0.

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31

Korepin, V. E. "Dressing equations for correlation functions." Journal of Soviet Mathematics 35, no. 4 (November 1986): 2644–47. http://dx.doi.org/10.1007/bf01083769.

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32

MESREF, L. "q-DEFORMED CONFORMAL CORRELATION FUNCTIONS." International Journal of Modern Physics A 20, no. 07 (March 20, 2005): 1471–79. http://dx.doi.org/10.1142/s0217751x05022834.

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In this paper, we compute the general structure of two- and three-point functions in field theories that are assumed to possess an invariance under a quantum deformation of SO (4, 2). The computation is elaborated in order to fit the Hopf algebra structure.

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33

Braghin, Fábio L. "Generalized correlation functions for theλφ4model." Physical Review D 57, no. 10 (May 15, 1998): 6317–25. http://dx.doi.org/10.1103/physrevd.57.6317.

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34

Vaskivskyi, V. I. "Correlation Functions of Coulomb Pair." Ukrainian Journal of Physics 60, no. 11 (November 2015): 1155–62. http://dx.doi.org/10.15407/ujpe60.11.1155.

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35

Gori, F., and M. Santarsiero. "Devising genuine spatial correlation functions." Optics Letters 32, no. 24 (December 10, 2007): 3531. http://dx.doi.org/10.1364/ol.32.003531.

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36

Pratt, Scott. "Correlation Functions: Getting into Shape." Acta Physica Hungarica A) Heavy Ion Physics 25, no. 2-4 (April 1, 2006): 329–35. http://dx.doi.org/10.1556/aph.25.2006.2-4.22.

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37

Tanaka, Takahiro, and Yuko Urakawa. "Loops in inflationary correlation functions." Classical and Quantum Gravity 30, no. 23 (November 8, 2013): 233001. http://dx.doi.org/10.1088/0264-9381/30/23/233001.

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38

Hinze, G., G. Diezemann, and H. Sillescu. "Four-time rotational correlation functions." Europhysics Letters (EPL) 44, no. 5 (December 1, 1998): 565–70. http://dx.doi.org/10.1209/epl/i1998-00510-7.

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39

Stadler, Peter F. "Landscapes and their correlation functions." Journal of Mathematical Chemistry 20, no. 1 (1996): 1–45. http://dx.doi.org/10.1007/bf01165154.

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40

Landau, Lawrence J. "Empirical two-point correlation functions." Foundations of Physics 18, no. 4 (April 1988): 449–60. http://dx.doi.org/10.1007/bf00732549.

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41

Shuryak, E. "QCD correlation functions and instantons." Nuclear Physics B - Proceedings Supplements 34 (April 1994): 107–12. http://dx.doi.org/10.1016/0920-5632(94)90324-7.

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42

Berg, Bernd A., and Alberto Devoto. "Correlation functions from probability densities." Computer Physics Communications 46, no. 3 (September 1987): 345–49. http://dx.doi.org/10.1016/0010-4655(87)90091-9.

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43

Shun-Jin, Wang, Zuo Wei, and Cassing Wolfgang. "Correlation dynamics of Green functions." Nuclear Physics A 573, no. 2 (June 1994): 245–75. http://dx.doi.org/10.1016/0375-9474(94)90170-8.

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44

Kadanoff, Leo P., and Paul C. Martin. "Hydrodynamic Equations and Correlation Functions." Annals of Physics 281, no. 1-2 (April 2000): 800–852. http://dx.doi.org/10.1006/aphy.2000.6023.

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45

Klimeš, L. "Correlation Functions of Random Media." Pure and Applied Geophysics 159, no. 7-8 (July 1, 2002): 1811–31. http://dx.doi.org/10.1007/s00024-002-8710-2.

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46

Frielinghaus, Henrich. "On the glass transition and correlation functions." Colloid and Polymer Science 298, no. 9 (June 20, 2020): 1159–68. http://dx.doi.org/10.1007/s00396-020-04674-9.

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Abstract Correlation functions are the basis for the understanding of many thermodynamic systems that can be directly observed by scattering experiments. In this manuscript, the correlation functions include the steric repulsion of atoms that also leads to distinct shells of neighbors. A free energy is derived on the basis of these assumptions, and in the following the temperature dependence of the density (or specific volume), the typical time scale of the α-relaxation, and the heat capacity. From this, I argue that the glass transition is dominated by the vicinity of a first-order phase transition. While the correlation length stays rather constant in the vicinity of the glass transition, the intensity of the fluctuations is considerably increasing. The scattering amplitude is connected to the cluster size, also introduced in the cooperativity argument. Additionally, correlations of loops are discussed. The additional correlations describe rather small structures. Applying this to scattering intensities, a correlation peak was described that may be connected to the “Boson Peak” or a “cooperativity length.” The new concept of correlation functions on sterically repulsive atoms may find more attention in the wider field of physics.

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47

Carrozzini, Benedetta, Giovanni Luca Cascarano, and Carmelo Giacovazzo. "The cross-correlation function: main properties and first applications." Journal of Applied Crystallography 43, no. 2 (February 12, 2010): 221–26. http://dx.doi.org/10.1107/s0021889809049346.

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When a model structure, and more generally a model electron density ρM(r), is available, its cross-correlation functionC(u) with the unknown true structure ρ(r) cannot be exactly calculated. A useful approximation ofC(u) is obtained by replacing exp[i(φh − φMh)] by its expected value. In this caseC′(u), a potentially useful approximation of the functionC(u), is obtained. In this paper the main crystallographic properties of the functionsC(u) andC′(u) are established. It is also shown that such functions may be useful for the success of the phasing process.

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48

Alekseev, Evgeny Konstantinovich, E. K. Karelina, and Oleg Aleksejevich Logachev. "On construction of correlation-immune functions via minimal functions." Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] 9, no. 2 (2018): 7–22. http://dx.doi.org/10.4213/mvk251.

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49

Benson, Andrew J. "Covariances of galaxy stellar mass functions and correlation functions." Monthly Notices of the Royal Astronomical Society 482, no. 1 (October 5, 2018): 1062–79. http://dx.doi.org/10.1093/mnras/sty2676.

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50

Gui-zhi, Ju, and Zhao Ya-qun. "Correlation degree and correlation coefficient of multi-output functions." Wuhan University Journal of Natural Sciences 10, no. 1 (January 2005): 195–98. http://dx.doi.org/10.1007/bf02828648.

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