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1

Veerapathiran, Sapthaswaran, and Thorsten Wohland. "The Imaging FCS Diffusion Law for Multiple Diffusive Modes." Biophysical Journal 114, no. 3 (February 2018): 600a. http://dx.doi.org/10.1016/j.bpj.2017.11.3282.

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2

Bammer, Roland, and Franz Fazekas. "Diffusion imaging in multiple sclerosis." Neuroimaging Clinics of North America 12, no. 1 (February 2002): 71–106. http://dx.doi.org/10.1016/s1052-5149(03)00071-6.

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3

Rovaris, M., A. Gass, R. Bammer, S. J. Hickman, O. Ciccarelli, D. H. Miller, and M. Filippi. "Diffusion MRI in multiple sclerosis." Neurology 65, no. 10 (November 21, 2005): 1526–32. http://dx.doi.org/10.1212/01.wnl.0000184471.83948.e0.

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4

Sasaki, H., and H. Morikawa. "Diffusion of an Acid Dye in a Multiple Porous Membrane Assembly." Textile Research Journal 62, no. 9 (September 1992): 509–16. http://dx.doi.org/10.1177/004051759206200903.

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We have investigated the concentration distribution of an acid dye in a multiple porous cellulosic membrane. On the basis of the diffusional boundary layer model, we present the computational method of a concentration-dependent diffusion coefficient of dye in multiple layers. We have assumed that the relationship between the diffusion coefficient Df and the dye concentration C is of the form Df = Dfo exp(α C). The concentration-dependent diffusion coefficient estimated by the numerical method is in close agreement with that predicted by the pore model in a dye concentration range of about 1.0 to 2.2 × 10−2 mol/kg.
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5

Kastantin, Mark, and Daniel K. Schwartz. "Distinguishing Positional Uncertainty from True Mobility in Single-Molecule Trajectories That Exhibit Multiple Diffusive Modes." Microscopy and Microanalysis 18, no. 4 (July 5, 2012): 793–97. http://dx.doi.org/10.1017/s1431927612000438.

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AbstractAlthough imperfect spatial localization in single-molecule object tracking experiments has long been recognized to induce apparent motion in an immobile population of molecules, this effect is often ignored or incorrectly analyzed for mobile molecules. In particular, apparent motion due to positional uncertainty is often incorrectly assigned as a distinct diffusive mode. Here we show that, due to both static and dynamic contributions, positional uncertainty does not introduce a new apparent diffusive mode into trajectories, but instead causes a systematic shift of each measured diffusion coefficient. This shift is relatively simple: a factor of σ2/Δt is added to each diffusion coefficient, where σ is the positional uncertainty length scale and Δt is the time interval between observations. Therefore, by calculating the apparent diffusion coefficients as a function of Δt, it is straightforward to separate the true diffusion coefficients from the effective positional uncertainty. As a concrete demonstration, we apply this approach to the diffusion of the protein fibrinogen adsorbed to a hydrophobic surface, a system that exhibits three distinct modes of diffusion.
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6

Tao, Peng, and Xiao Lin Shu. "Multiple Helium Atoms Diffusion in Tungsten: A Molecular Dynamic Simulation." Materials Science Forum 789 (April 2014): 549–53. http://dx.doi.org/10.4028/www.scientific.net/msf.789.549.

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The diffusion process of multiple He atoms in W is simulated by a molecular dynamics (MD) method with the W-H-He analytic bond-order potential. The diffusivities of different number of helium (He) atoms in W are determined by the mean squared displacement (MSD) method at different temperatures. The diffusivity-temperature (D-T) relationship is fitted to the Arrhenius equation to obtain the pre-factor and the diffusion barrier. Under the temperature of 1200K He atoms diffuse together, and above 1200K they separate from each other. When the number of He atoms is greater than three, all He atoms oscillate at the tetrahedral interstitial site (TIS) instead of diffusing under 400K. In the temperature range of 400-1200K, the diffusion barriers of He atoms, the number of which is from two to five, are 0.098, 0.170, 0.125 and 0.112eV, respectively. Contrasting with one He atom (0.058eV), the higher diffusion barriers reflect a greater difficulty in diffusion of multiple He atoms in W. In addition, when the number of He atoms is over five, vacancies are formed in W, and He atoms occupy the vacancies.
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7

Stoneman, Paul, and Myung-Joong Kwon. "The Diffusion of Multiple Process Technologies." Economic Journal 104, no. 423 (March 1994): 420. http://dx.doi.org/10.2307/2234761.

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8

Sigmund, Eric E., and Yi-Qiao Song. "Multiple echo diffusion tensor acquisition technique." Magnetic Resonance Imaging 24, no. 1 (January 2006): 7–18. http://dx.doi.org/10.1016/j.mri.2005.10.015.

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9

Descoteaux, Maxime, Rachid Deriche, Denis Le Bihan, Jean-François Mangin, and Cyril Poupon. "Multiple q-shell diffusion propagator imaging." Medical Image Analysis 15, no. 4 (August 2011): 603–21. http://dx.doi.org/10.1016/j.media.2010.07.001.

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10

Rovaris, Marco, and Massimo Filippi. "Diffusion Tensor MRI in Multiple Sclerosis." Journal of Neuroimaging 17 (April 2007): 27S—30S. http://dx.doi.org/10.1111/j.1552-6569.2007.00133.x.

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11

Meakin, Paul. "Multiple-contact diffusion-limited-aggregation model." Physical Review A 33, no. 6 (June 1, 1986): 4199–204. http://dx.doi.org/10.1103/physreva.33.4199.

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12

-SEZNEC, Olivier. "Routage Multicast : outil de diffusion multiple." Revue de l'Electricité et de l'Electronique -, no. 02 (1999): 65. http://dx.doi.org/10.3845/ree.1999.020.

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13

Chabert, Steren, César Galindo, Cristian Tejos, and Sergio A. Uribe. "Multiple echo multi-shot diffusion sequence." Journal of Magnetic Resonance Imaging 39, no. 4 (October 17, 2013): 1027–32. http://dx.doi.org/10.1002/jmri.24244.

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14

Li, Chi-Ping, David Wiesenhahn, and S. S. Penner. "Multiple diffusion flames with rectangular symmetry." Combustion and Flame 65, no. 2 (August 1986): 215–25. http://dx.doi.org/10.1016/0010-2180(86)90020-9.

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15

Cercignani, M., G. Iannucci, and M. Filippi. "Diffusion-weighted imaging in multiple sclerosis." Italian Journal of Neurological Sciences 20, no. 8 (December 1999): S246—S249. http://dx.doi.org/10.1007/s100729970005.

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16

Li, Xiaoping, and Tongwen Chen. "Nonlinear diffusion with multiple edginess thresholds." Pattern Recognition 27, no. 8 (August 1994): 1029–37. http://dx.doi.org/10.1016/0031-3203(94)90142-2.

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17

Furman, G. B., S. D. Goren, A. M. Panich, and A. I. Shames. "Spin Diffusion in Pure Multiple-Pulse NQR." Zeitschrift für Naturforschung A 55, no. 1-2 (February 1, 2000): 54–60. http://dx.doi.org/10.1515/zna-2000-1-211.

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We present a detailed theoretical and experimental NQR multiple-pulse spin-locking study of spin-lattice relaxation and spin diffusion processes in the presence of paramagnetic impurities in solids. The obtained diffusion equation was obtained allows to find the time dependence of the magnetization in the effective field. The spin lattice relaxation times were calculated, both for direct and diffusion regimes, as functions of the correlation time and multiple-pulse parameters. Measurements of relaxation times in rotating frame allow to determine the diffusion coefficient and the radius of the diffusion barrier in γ-irradiated polycrystalline samples of NaCIO3.
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18

Jensen, Jens H. "Stejskal’s formula for multiple-pulsed diffusion MRI." Magnetic Resonance Imaging 33, no. 9 (November 2015): 1182–86. http://dx.doi.org/10.1016/j.mri.2015.07.001.

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19

Hygino da Cruz, L. Celso, Raquel Ribeiro Batista, Roberto Cortes Domingues, and Frederik Barkhof. "Diffusion Magnetic Resonance Imaging in Multiple Sclerosis." Neuroimaging Clinics of North America 21, no. 1 (February 2011): 71–88. http://dx.doi.org/10.1016/j.nic.2011.02.006.

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20

Tang, Xiao-Ping, Eric E. Sigmund, and Yi-Qiao Song. "Simultaneous Measurement of Diffusion along Multiple Directions." Journal of the American Chemical Society 126, no. 50 (December 2004): 16336–37. http://dx.doi.org/10.1021/ja0447457.

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21

Chien, C. S., and M. H. Chen. "Multiple bifurcations in a reaction-diffusion problem." Computers & Mathematics with Applications 35, no. 8 (April 1998): 15–39. http://dx.doi.org/10.1016/s0898-1221(98)00042-x.

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22

Hastings, Stuart, David Kinderlehrer, and J. Bryce McLeod. "Diffusion Mediated Transport in Multiple State Systems." SIAM Journal on Mathematical Analysis 39, no. 4 (January 2008): 1208–30. http://dx.doi.org/10.1137/060650994.

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23

Parthasarathy, Madhavan, Sunkyu Jun, and Robert A. Mittelstaedt. "Multiple diffusion and multicultural aggregate social systems." International Marketing Review 14, no. 4 (August 1997): 233–47. http://dx.doi.org/10.1108/02651339710173435.

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24

Zhao, Ji-Cheng (J C. ). "THE DIFFUSION-MULTIPLE APPROACH TO DESIGNING ALLOYS." Annual Review of Materials Research 35, no. 1 (August 4, 2005): 51–73. http://dx.doi.org/10.1146/annurev.matsci.35.100303.111314.

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25

Hershkovitz, Eli, Peter Talkner, Eli Pollak, and Yuri Georgievskii. "Multiple hops in multidimensional activated surface diffusion." Surface Science 421, no. 1-2 (February 1999): 73–88. http://dx.doi.org/10.1016/s0039-6028(98)00820-6.

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26

Chapman, B. E., and P. W. Kuchel. "Sensitivity in Heteronuclear Multiple-Quantum Diffusion Experiments." Journal of Magnetic Resonance, Series A 102, no. 1 (March 1993): 105–9. http://dx.doi.org/10.1006/jmra.1993.1075.

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27

Sai, Asari, Taro Shimono, Koji Sakai, Akitoshi Takeda, Hiroyuki Shimada, Taro Tsukamoto, Hiroko Maeda, Shinichi Sakamoto, and Yukio Miki. "Diffusion-weighted imaging thermometry in multiple sclerosis." Journal of Magnetic Resonance Imaging 40, no. 3 (October 31, 2013): 649–54. http://dx.doi.org/10.1002/jmri.24396.

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28

Zhang, Youlang, and Xufeng Zhu. "Multiple mechanisms of policy diffusion in China." Public Management Review 21, no. 4 (July 20, 2018): 495–514. http://dx.doi.org/10.1080/14719037.2018.1497695.

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29

Somaraj, S. K. A., K. S. Padiyar, and R. Natarajan. "Interference Effects in Multiple Gaseous Diffusion Flames." Defence Science Journal 38, no. 3 (January 9, 1988): 245–59. http://dx.doi.org/10.14429/dsj.38.5846.

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30

Kasuya, Tadashi, and Masao Fuji. "Diffusion with multiple kinds of trapping sites." Journal of Applied Physics 83, no. 6 (March 15, 1998): 3039–48. http://dx.doi.org/10.1063/1.367058.

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31

ALEXANDER, DANIEL C. "Multiple‐Fiber Reconstruction Algorithms for Diffusion MRI." Annals of the New York Academy of Sciences 1064, no. 1 (December 2005): 113–33. http://dx.doi.org/10.1196/annals.1340.018.

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32

Wei, Juncheng, and Matthias Winter. "Stationary multiple spots for reaction–diffusion systems." Journal of Mathematical Biology 57, no. 1 (December 5, 2007): 53–89. http://dx.doi.org/10.1007/s00285-007-0146-y.

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33

Veerapathiran, Sapthaswaran, and Thorsten Wohland. "The imaging FCS diffusion law in the presence of multiple diffusive modes." Methods 140-141 (May 2018): 140–50. http://dx.doi.org/10.1016/j.ymeth.2017.11.016.

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34

Fordham, E. J., P. P. Mitra, and L. L. Latour. "Effective Diffusion Times in Multiple-Pulse PFG Diffusion Measurements in Porous Media." Journal of Magnetic Resonance, Series A 121, no. 2 (August 1996): 187–92. http://dx.doi.org/10.1006/jmra.1996.0159.

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35

Shimozaki, Toshitada, Takahisa Okino, and C. G. Lee. "Numerical Analysis for the Behavior of Multiple Markers in Multiple Phase Diffusion Couples." Defect and Diffusion Forum 283-286 (March 2009): 394–400. http://dx.doi.org/10.4028/www.scientific.net/ddf.283-286.394.

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The movement of multiple markers (M-M) embedded in a multiple phases diffusion couple (M-couple) has been numerically analyzed for binary two phases models taking the molar volume change effect to the diffusion direction into account. From the results obtained by this analysis the places where vacancies are annihilated or generated can be visualized. It has been clarified that a part of M-M is necessarily shown by a linear line due to parabolic movement of the inter-phase interface. Some other interesting results obtained in this study will be reported.
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36

Xu, Yong, and Wei Hong Peng. "Research on Multiple Holes Grouting of Fractured Rock Mass." Applied Mechanics and Materials 256-259 (December 2012): 547–51. http://dx.doi.org/10.4028/www.scientific.net/amm.256-259.547.

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Considering the seepage stress coupling of fractured rock mass, the multiple holes grouting problems were simulated to analyse the spread regularity by Universal Distinct Element Code(UDEC).The results show that the correlation between grouting pressure and the diffusion distance is positive, whereas the correlation between ground stress and diffusion distance is negative; With the raising of grouting holes, the diffusion distance is increasing and becoming more uniform in all directions, and the grout pressure and saturation is falling and attenuation amplitude is decreasing along the direction of grout diffusion; With the increasing of fracture aperture, the grout diffusion distance is increasing, and the grout pressure and saturation attenuation amplitude is decreasing along the direction of grout diffusion.
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37

Cho, A.-H., J. S. Kim, S. B. Jeon, S. U. Kwon, D. H. Lee, and D. W. Kang. "Mechanism of multiple infarcts in multiple cerebral circulations on diffusion-weighted imaging." Journal of Neurology 254, no. 7 (April 2, 2007): 924–30. http://dx.doi.org/10.1007/s00415-006-0397-3.

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38

BERNARDINI, ALEX E., STEFANO DE LEO, and PIETRO P. ROTELLI. "ABOVE BARRIER POTENTIAL DIFFUSION." Modern Physics Letters A 19, no. 36 (November 30, 2004): 2717–25. http://dx.doi.org/10.1142/s0217732304015877.

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The stationary phase method is applied to diffusion by a potential barrier for an incoming wave packet with energies greater than the height of the barrier. It is observed that a direct application leads to paradoxical results. The correct solution, confirmed by numerical calculations is the creation of multiple peaks as a consequence of multiple reflections. Lessons concerning the use of the stationary phase method are drawn.
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39

SUN, Z., P. DELACHARTRE, and G. GIMENEZ. "Diffusion acoustique par deux sphères - condition de champ lointain de la diffusion multiple." Le Journal de Physique IV 04, no. C5 (May 1994): C5–901—C5–903. http://dx.doi.org/10.1051/jp4:19945197.

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40

Song, Xiaona, Mi Wang, Shuai Song, and Zhen Wang. "Intermittent pinning synchronization of reaction–diffusion neural networks with multiple spatial diffusion couplings." Neural Computing and Applications 31, no. 12 (May 21, 2019): 9279–94. http://dx.doi.org/10.1007/s00521-019-04254-1.

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41

Lai, Bonnie E., Jason A. Chen, S. Munir Alam, and David F. Katz. "Analysis of Postphotoactivation Scanning Diffusion Profiles for Multiple Species with Distributed Diffusion Coefficients." Biophysical Journal 98, no. 3 (January 2010): 401a. http://dx.doi.org/10.1016/j.bpj.2009.12.2162.

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42

Malthouse, Edward C., Alexander Buoye, Nathaniel Line, Dahlia El-Manstrly, Tarik Dogru, and Jay Kandampully. "Beyond reciprocal: the role of platforms in diffusing data value across multiple stakeholders." Journal of Service Management 30, no. 4 (October 16, 2019): 507–18. http://dx.doi.org/10.1108/josm-12-2018-0381.

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Purpose The purpose of this paper is to assess the role of platforms in diffusing data value across multiple stakeholders. Design/methodology/approach Seminal theoretical and managerial work has been critically examined in order to justify the need for improving/extending the contemporary understanding of the data value creation process. Findings The results suggest that existing frameworks and conceptualizations of reciprocal data value provide incomplete understanding of the role of platforms in data value diffusion. Research limitations/implications This paper provides service researchers with a better understanding of the role of platforms in data value diffusion. Future research can develop and validate new frameworks that reflect the proposed extended/improved view of data value creation. Practical implications Service and hospitality managers will be able to more effectively manage the role of platforms in data value diffusion. Specifically, this paper proposes that, in order for data to become a source of competitive advantage, there must be a symbiotic relationship among all the stakeholders of the data ecosystem. Originality/value The authors discuss how data creates value for different stakeholders in the hospitality industry.
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43

Zhu, Hongmiao, Xin Yan, and Zhen Jin. "Creative idea diffusion model in the multiplex network with consideration of multiple channels." Communications in Nonlinear Science and Numerical Simulation 97 (June 2021): 105734. http://dx.doi.org/10.1016/j.cnsns.2021.105734.

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44

Nusbaum, Annette O., Dongfeng Lu, Cheuk Y. Tang, and Scott W. Atlas. "Quantitative Diffusion Measurements in Focal Multiple Sclerosis Lesions." American Journal of Roentgenology 175, no. 3 (September 2000): 821–25. http://dx.doi.org/10.2214/ajr.175.3.1750821.

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45

Vogiatzaki, K., A. Kronenburg, M. J. Cleary, and J. H. Kent. "Multiple mapping conditioning of turbulent jet diffusion flames." Proceedings of the Combustion Institute 32, no. 2 (2009): 1679–85. http://dx.doi.org/10.1016/j.proci.2008.06.164.

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46

Cabe, Richard. "Equilibrium diffusion of technological change through multiple processes." Technological Forecasting and Social Change 39, no. 3 (May 1991): 265–90. http://dx.doi.org/10.1016/0040-1625(91)90041-d.

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47

Zang, Wenyu, Peng Zhang, Chuan Zhou, and Li Guo. "Discovering Multiple Diffusion Source Nodes in Social Networks." Procedia Computer Science 29 (2014): 443–52. http://dx.doi.org/10.1016/j.procs.2014.05.040.

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48

Cole, Thomas, Giovanni Bidoglio, Magdalini Soupioni, Mark O’Gorman, and Neil Gibson. "Diffusion mechanisms of multiple strontium species in clay." Geochimica et Cosmochimica Acta 64, no. 3 (February 2000): 385–96. http://dx.doi.org/10.1016/s0016-7037(99)00324-5.

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49

Milstein, Adam B., Jonathan J. Stott, Seungseok Oh, David A. Boas, R. P. Millane, Charles A. Bouman, and Kevin J. Webb. "Fluorescence optical diffusion tomography using multiple-frequency data." Journal of the Optical Society of America A 21, no. 6 (June 1, 2004): 1035. http://dx.doi.org/10.1364/josaa.21.001035.

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50

Ishioka, Shunya, and Masahiro Koiwa. "Diffusion coefficient in crystals with multiple jump frequencies." Philosophical Magazine A 52, no. 2 (August 1985): 267–77. http://dx.doi.org/10.1080/01418618508237623.

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