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1

Klages, R., and J. R. Dorfman. "Dynamical crossover in deterministic diffusion." Physical Review E 55, no. 2 (1997): R1247—R1250. http://dx.doi.org/10.1103/physreve.55.r1247.

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2

Miyazaki, Syuji. "Crossover between Ballistic and Normal Diffusion." Progress of Theoretical Physics Supplement 161 (2006): 270–73. http://dx.doi.org/10.1143/ptps.161.270.

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3

Lira Garcia Barros, Rodrigo, Joost Kraakman, Thijs Theodorus de Groot, and John van der Schaaf. "Gas Crossover and Supersaturation in Advanced Alkaline Water Electrolysis." ECS Meeting Abstracts MA2023-01, no. 36 (2023): 1967. http://dx.doi.org/10.1149/ma2023-01361967mtgabs.

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Conventional alkaline water electrolyzers operate with a finite-gap between the cathode and anode [1]. The ohmic resistance induced by this finite-gap results in energy losses. Therefore, the zero-gap assembly is considered an attractive configuration to perform advanced alkaline water electrolysis. However, gas crossover is enhanced in the zero-gap configuration by supersaturated hydrogen concentrations in the vicinity of the electrode. To avoid excessive gas crossover there is a limiting minimal operational current density. Different transport mechanisms can contribute to gas crossover throu
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4

El Bourakkadi, Hamid, Abdelhakim Chemlal, Hassan Tabti, Mourad Kattass, Abdellatif Jarjar, and Abdelhamid Benazzi. "Improved vigenere using affine functions surrounded by two genetic crossovers for image encryption." Indonesian Journal of Electrical Engineering and Computer Science 34, no. 3 (2024): 1787. http://dx.doi.org/10.11591/ijeecs.v34.i3.pp1787-1799.

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This paper presents an improved method for encrypting color images, surpassing the effectiveness of genetic crossover and substitution operations. The technique incorporates dynamic random functions to enhance the integrity of the resulting vector, increasing temporal complexity to thwart potential attacks. The improvement involves integrating genetic crossover and utilizing two extensive pseudorandom replacement tables derived from established chaotic maps in cryptography. Following the controlled vectorization of the original image, our approach initiates with a first genetic crossover inspi
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5

Bourakkadi, Hamid El, Abdelhakim Chemlal, Hassan Tabti, Mourad Kattass, Abdellatif Jarjar, and Abdelhamid Benazzi. "Improved vigenere using affine functions surrounded by two genetic crossovers for image encryption." Indonesian Journal of Electrical Engineering and Computer Science 34, no. 3 (2024): 1787–99. https://doi.org/10.11591/ijeecs.v34.i3.pp1787-1799.

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This paper presents an improved method for encrypting color images, surpassing the effectiveness of genetic crossover and substitution operations. The technique incorporates dynamic random functions to enhance the integrity of the resulting vector, increasing temporal complexity to thwart potential attacks. The improvement involves integrating genetic crossover and utilizing two extensive pseudorandom replacement tables derived from established chaotic maps in cryptography. Following the controlled vectorization of the original image, our approach initiates with a first genetic crossover inspi
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6

Fujitani, Youhei, Shintaro Mori, and Ichizo Kobayashi. "A Reaction-Diffusion Model for Interference in Meiotic Crossing Over." Genetics 161, no. 1 (2002): 365–72. http://dx.doi.org/10.1093/genetics/161.1.365.

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Abstract One crossover point between a pair of homologous chromosomes in meiosis appears to interfere with occurrence of another in the neighborhood. It has been revealed that Drosophila and Neurospora, in spite of their large difference in the frequency of crossover points, show very similar plots of coincidence—a measure of the interference—against the genetic distance of the interval, defined as one-half the average number of crossover points within the interval. We here propose a simple reaction-diffusion model, where a “randomly walking” precursor becomes immobilized and matures into a cr
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7

Miah, M. Idrish. "Drift-diffusion crossover and the intrinsic spin diffusion lengths in semiconductors." Journal of Applied Physics 103, no. 6 (2008): 063718. http://dx.doi.org/10.1063/1.2898408.

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8

Slade, Jakov, Dalibor Merunka, and Miroslav Peric. "Radical Diffusion Crossover Phenomenon in Glass-Forming Liquids." Journal of Physical Chemistry Letters 13, no. 15 (2022): 3510–15. http://dx.doi.org/10.1021/acs.jpclett.2c00305.

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9

Sané, Jimaan, Johan T. Padding, and Ard A. Louis. "The crossover from single file to Fickian diffusion." Faraday Discuss. 144 (2010): 285–99. http://dx.doi.org/10.1039/b905378f.

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10

Howard, Martin. "Diffusion-mediated coarsening can explain meiotic crossover interference." Biophysical Journal 123, no. 3 (2024): 455a. http://dx.doi.org/10.1016/j.bpj.2023.11.2769.

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11

SANTRA, SITANGSHU BIKAS, and WILLIAM A. SEITZ. "DIFFUSION UNDER CROSSED LOCAL AND GLOBAL BIASES IN DISORDERED SYSTEMS." International Journal of Modern Physics C 11, no. 07 (2000): 1357–69. http://dx.doi.org/10.1142/s0129183100001188.

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Diffusion on 2D site percolation clusters at p = 0.7, 0.8, and 0.9 above pc on the square lattice in the presence of two crossed bias fields, a local bias B and a global bias E, has been investigated. The global bias E is applied in a fixed global direction whereas the local bias B imposes a rotational constraint on the motion of the diffusing particle. The rms displacement Rt ~ tk in the presence of both biases is studied. Depending on the strength of E and B, the behavior of the random walker changes from diffusion to drift to no-drift or trapping. There is always diffusion for finite B with
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12

Wong, Chi Pui Jeremy, and Phillip Choi. "On the diffusivity of ring polymers." Soft Matter 16, no. 9 (2020): 2350–62. http://dx.doi.org/10.1039/c9sm02275a.

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13

Lo, Shih-tse, and Dhanoos Sutthiphisal. "Crossover Inventions and Knowledge Diffusion of General Purpose Technologies: Evidence from the Electrical Technology." Journal of Economic History 70, no. 3 (2010): 744–64. http://dx.doi.org/10.1017/s0022050710000604.

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Scholars have long noted the significant impact of general purpose technologies (GPTs) on the economy. However, limited attention has been paid to exploring how they are employed to generate inventions in downstream sectors (crossover inventions), and what factors may facilitate such diffusion. In a study of the introduction of electrical technology in the late-nineteenth-century United States, we find that knowledge spillovers between industries had little influence on the geography of crossover inventions as well as the speed and productivity of crossover inventors. Instead, human capital an
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14

Wong, Chi Pui Jeremy, and Phillip Choi. "A free volume theory on the chain length dependence of the diffusivity of linear polymers." Soft Matter 15, no. 45 (2019): 9300–9309. http://dx.doi.org/10.1039/c9sm01900f.

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15

Shapoval, Dmytro, Maxym Dudka, Xavier Durang, and Malte Henkel. "Crossover between diffusion-limited and reaction-limited regimes in the coagulation–diffusion process." Journal of Physics A: Mathematical and Theoretical 51, no. 42 (2018): 425002. http://dx.doi.org/10.1088/1751-8121/aadd53.

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16

Ohtsuki, Toshiya, and Thomas Keyes. "Crossover in nonequilibrium multicritical phenomena of reaction-diffusion systems." Physical Review A 36, no. 9 (1987): 4434–38. http://dx.doi.org/10.1103/physreva.36.4434.

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17

Wuttke, J., I. Chang, O. G. Randl, F. Fujara, and W. Petry. "Tagged-particle motion in viscous glycerol: Diffusion-relaxation crossover." Physical Review E 54, no. 5 (1996): 5364–69. http://dx.doi.org/10.1103/physreve.54.5364.

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18

Ferrell, Richard A. "Singular crossover function for critical diffusion in a fluid." Physica A: Statistical Mechanics and its Applications 204, no. 1-4 (1994): 230–36. http://dx.doi.org/10.1016/0378-4371(94)90427-8.

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19

Slade, Jakov, Dalibor Merunka, and Miroslav Peric. "Comparing radical diffusion crossover phenomena in alkanes and alcohols." Journal of Molecular Liquids 384 (August 2023): 122220. http://dx.doi.org/10.1016/j.molliq.2023.122220.

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20

Kritskaya, D. A., K. S. Novikova, E. A. Sanginov, and A. N. Ponomarev. "Testing of proton exchange composite membranes “polymer film-sulfounded polystyrene” in a direct methanol fuel cell at 60°C. Methanol crossover." Membrany i membrannye tehnologii 14, no. 2 (2024): 133–42. http://dx.doi.org/10.31857/s2218117224020072.

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The coefficients of diffusion permeability of methanol through the synthesized composite membranes “polymer film-sulfonated polystyrene” and Nafion-115 membrane were measured. For several composite membranes with significantly different transport properties the diffusion flux of methanol (qdiff) through these membranes was calculated under the conditions of a direct methanol fuel cell (DMFC) at 60°C and 1–2 M concentration of the feed solution. Direct measurements of the crossover current and methanol crossover (qCVA) in DMFC based on these membranes were carried out by using the cyclic voltam
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21

Liu, Jian, Caiyun Zhang, Jing-Dong Bao, and Xiaosong Chen. "Correlated continuous-time random walk in the velocity field: the role of velocity and weak asymptotics." Soft Matter 17, no. 42 (2021): 9786–98. http://dx.doi.org/10.1039/d1sm00995h.

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Within the framework of a space-time correlated continuous-time random walk model, anomalous diffusion of particle moving in the velocity field is studied. The dispersive bias and space-time correlation lead to a crossover phenomenon in-between the diffusion. While, the weak asymptotics of the waiting time can yield the second unexpected one.
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22

Antonio Faustino dos Santos, Maike. "Comb Model with Non-Static Stochastic Resetting and Anomalous Diffusion." Fractal and Fractional 4, no. 2 (2020): 28. http://dx.doi.org/10.3390/fractalfract4020028.

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Nowadays, the stochastic resetting process is an attractive research topic in stochastic process. At the same time, a series of researches on stochastic diffusion in complex structures introduced ways to understand the anomalous diffusion in complex systems. In this work, we propose a non-static stochastic resetting model in the context of comb structure that consists of a structure formed by backbone in x axis and branches in y axis. Then, we find the exact analytical solutions for marginal distribution concerning x and y axis. Moreover, we show the time evolution behavior to mean square disp
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23

Ryosuke, Sato, Gaku Yamaguchi, Daisuke Nagai, et al. "Adsorption dynamics of tannin on deacetylated electrospun Konjac glucomannan fabric." Soft Matter 14, no. 14 (2018): 2712–23. http://dx.doi.org/10.1039/c8sm00123e.

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We demonstrate the adsorption dynamics of Konjac glucomannan electrospun nanofabrics consisting of an initial diffusion-limited stage and a late stoichiometric relaxation stage and show how to design efficient adsorption using the crossover time.
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24

Kwon, Joseph, Ingoo Han, and Byoungsoo Kim. "Effects of source influence and peer referrals on information diffusion in Twitter." Industrial Management & Data Systems 117, no. 5 (2017): 896–909. http://dx.doi.org/10.1108/imds-07-2016-0290.

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Purpose Social media have attracted attention as an information channel for content generated in heterogeneous internet services. Focusing on social media platforms, the purpose of this paper is to examine the factors behind social transmission with content crossover from other services through hypertext link (URL). The authors investigate the effects of source influence and peer referrals on diffusion outcome and address their variations in the case of content crossover. Design/methodology/approach The authors use a Poisson regression model due to the discrete nature of the dependent variable
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25

Li, Ji. "Crossover time of diffusion-limited reactions on a tubular lattice." Physical Review E 55, no. 6 (1997): 6646–50. http://dx.doi.org/10.1103/physreve.55.6646.

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26

Reufer, M., F. Schindler, S. Patil, U. Scherf, and J. M. Lupton. "Crossover from diffusion to annihilation limited phosphorescence in conjugated polymers." Chemical Physics Letters 381, no. 1-2 (2003): 60–66. http://dx.doi.org/10.1016/j.cplett.2003.09.071.

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27

Das Sarma, S., Z. W. Lai, and P. I. Tamborenea. "Crossover effects in models of kinetic growth with surface diffusion." Surface Science 268, no. 1-3 (1992): L311—L318. http://dx.doi.org/10.1016/0039-6028(92)90941-x.

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28

Nagatani, Takashi, and H. Eugene Stanley. "Diffusion-Limited Aggregation on Percolating Cluster: Crossover and Multifractal Structure." Journal of the Physical Society of Japan 60, no. 4 (1991): 1217–25. http://dx.doi.org/10.1143/jpsj.60.1217.

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29

Chen, L. Y., and S. C. Ying. "Theory of Surface Diffusion: Crossover from Classical to Quantum Regime." Physical Review Letters 73, no. 5 (1994): 700–703. http://dx.doi.org/10.1103/physrevlett.73.700.

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30

Ehtiati, Koosha, Ilya Anufriev, Christian Friebe, et al. "Hyperbranched TEMPO-based polymers as catholytes for redox flow battery applications." RSC Advances 14, no. 45 (2024): 32893–910. http://dx.doi.org/10.1039/d4ra03925d.

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Hyperbranched TEMPO-based polymers are investigated as catholytes for redox flow batteries revealing relatively low viscosity, rapid diffusion, and fast charge transfer. Remaining challenges are the polymers being prone to crossover and having a low cycling stability.
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31

Awad, Emad, and Ralf Metzler. "Crossover dynamics from superdiffusion to subdiffusion: Models and solutions." Fractional Calculus and Applied Analysis 23, no. 1 (2020): 55–102. http://dx.doi.org/10.1515/fca-2020-0003.

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AbstractThe Cattaneo or telegrapher’s equation describes the crossover from initial ballistic to normal diffusion. Here we study and survey time-fractional generalisations of this equation that are shown to produce the crossover of the mean squared displacement from superdiffusion to subdiffusion. Conditional solutions are derived in terms of Fox H-functions and the δth-order moments as well as the diffusive flux of the different models are derived. Moreover, the concept of the distribution-like is proposed as an alternative to the probability density function.
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32

Zhokh, Alexey, and Peter Strizhak. "Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation." Advances in Mathematical Physics 2023 (April 5, 2023): 1–6. http://dx.doi.org/10.1155/2023/6646284.

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The time-fractional diffusion equation coupled with a first-order irreversible reaction is investigated by employing integral transforms. We derive Green’s functions for short and long times via approximations of the Mittag-Leffler function. The time value for which the crossover between short- and long-time asymptotic holds is presented in explicit form. Based on the developed Green’s functions, the exact analytic asymptotic solutions of the time-fractional reaction-diffusion equation are obtained. The applicability of the obtained solutions is demonstrated via quantification of the reaction-
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33

HUDA, AIN-UL, OMJYOTI DUTTA, and ABHIJIT MOOKERJEE. "STUDY OF A PAIR OF COUPLED CONTINUUM EQUATIONS MODELING SURFACE GROWTH: INTERPLAY BETWEEN SURFACE DIFFUSION, DESORPTION-ACCRETION AND SCHWOEBEL BACK DIFFUSION." International Journal of Modern Physics B 18, no. 10n11 (2004): 1549–69. http://dx.doi.org/10.1142/s0217979204024975.

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In this communication we shall focus on the three microscopic processes whose interplay determine the surface morphology of MBE growth: namely, surface diffusion, desorption and accretion and Schwoebel back diffusion. We gain insight into the dynamics of growth via one-loop perturbative techniques. This allows us to analyze our numerical data. We conclude that there is a crossover behavior from a roughening regime to a very long-time, large length scale smoothening regime.
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34

Xi, Dawei, Taobo Wang, Zhifei Yan, et al. "Crossover Management for Practical High Efficiency Carbon Dioxide Reduction." ECS Meeting Abstracts MA2024-02, no. 62 (2024): 4241. https://doi.org/10.1149/ma2024-02624241mtgabs.

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CO2 reduction is an important step in carbon capture, utilization, and storage (CCUS). The utilization of a membrane electrode assembly (MEA) with a gas diffusion electrode (GDE) realizes high current density CO2 reduction. However, most of the developed CO2 reduction catalysts suffer from low Faradaic efficiency when using a proton exchange membrane MEA, due to low local pH surrounding catalysts. Alternatively, with an anion exchange membrane MEA, CO2 reduction suffers from low conversion efficiency due to carbonate-bicarbonate crossover through the membrane to the anode. For continuously-run
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35

DEMİRTAS, Mehmet. "A NEW IMAGE ENCRYPTION METHOD BASED ON A 6D HYPERCHAOTIC MAP AND GENETIC OPERATORS." Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi 26, no. 1 (2023): 261–78. http://dx.doi.org/10.17780/ksujes.1208570.

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This paper presents a novel and secure image encryption method. The plain image’s pixels are confused using the N-point crossover operation of genetic algorithms. Randomly paired rows and columns are determined by the two state variables of a six-dimensional hyperchaotic map. The number of crossover points, which are calculated by the two other state variables of the hyperchaotic map, differ from each other for each row or column pair. The crossover positions are specified according to the number of crossover points with the help of the last two state variables. The proposed algorithm generate
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36

Kawabata, Akitsugu, Takao Yamamoto, Hiroki Shinoda, et al. "Crossover of Rate-Limiting Process in Plasma Gel Growth by Contact with Source of Gelator." Gels 7, no. 1 (2021): 11. http://dx.doi.org/10.3390/gels7010011.

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Plasma is regarded as a solution of precursor polymers specifically transformed to gel-forming polymers by a reaction with initiators. We developed a theory for the gel growth dynamics of plasma induced by contact with a source of gelators that are yielded by the initiation. In developing the theory, we combined the Ginzburg–Landau type dynamics with the gelator diffusion dynamics expressed by the moving boundary picture. The theory predicts the crossover of the rate-limiting process in the time course of the thickness of the gel layer X from the energy-limited process expressed by X∼t to the
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37

Конюх, Д. А. "Фононы и кроссовер Иоффе-Регеля в случайных решетках произвольной размерности". Физика твердого тела 63, № 12 (2021): 2009. http://dx.doi.org/10.21883/ftt.2021.12.51658.06s.

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In the frame of the random matrix theory, it was shown, that the relaxation of the projection of the initial plane wave with the wave vector q is described by the equation of motion with the memory function which corresponds to the complex dynamical Young modulus E(ω). In the harmonic scalar model of displacements with the absence of energy dissipation, the Ioffe-Regel crossover arises universally in amorphous systems with the dimension d≥3. Vibrations above the Ioffe-Regel crossover are related to the diffusive nature and can be described by the diffusion equation with the damping Γ(q)∝ q².
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38

Nagatani, Takashi. "Effect of growing interface on the diffusion-limited aggregation: Crossover from the diffusion-limited-aggregation fractal." Physical Review A 38, no. 12 (1988): 6396–401. http://dx.doi.org/10.1103/physreva.38.6396.

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39

Yoshikawa, Takehiro, Toshiyuki Takayanagi, Hajime Kimizuka та Motoyuki Shiga. "Quantum–Thermal Crossover of Hydrogen and Tritium Diffusion in α-Iron". Journal of Physical Chemistry C 116, № 43 (2012): 23113–19. http://dx.doi.org/10.1021/jp307660e.

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40

Nagatani, T. "Crossover scaling of rough surfaces: effects of surface diffusion with threshold." Journal of Physics A: Mathematical and General 23, no. 21 (1990): L1139—L1143. http://dx.doi.org/10.1088/0305-4470/23/21/012.

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41

Heinson, W. R., F. Pierce, C. M. Sorensen, and A. Chakrabarti. "Crossover from Ballistic to Epstein Diffusion in the Free-Molecular Regime." Aerosol Science and Technology 48, no. 7 (2014): 738–46. http://dx.doi.org/10.1080/02786826.2014.922677.

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42

Ito, K., and S. Miyazaki. "Crossover between Anomalous Superdiffusion and Normal Diffusion in Oscillating Convection Flows." Progress of Theoretical Physics 110, no. 5 (2003): 875–87. http://dx.doi.org/10.1143/ptp.110.875.

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43

Ianconescu, Reuven, and Eli Pollak. "Activated quantum diffusion in a periodic potential above the crossover temperature." Journal of Chemical Physics 151, no. 2 (2019): 024703. http://dx.doi.org/10.1063/1.5100010.

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44

Bartelt, M. C., and J. W. Evans. "Crossover from Anisotropic-to-Isotropic Diffusion-Mediated Island Growth on Surfaces." Europhysics Letters (EPL) 21, no. 1 (1993): 99–103. http://dx.doi.org/10.1209/0295-5075/21/1/017.

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45

Bieker, S., R. Stühler, T. Kiessling, W. Ossau, and L. W. Molenkamp. "Dimensional crossover of free exciton diffusion in etched GaAs wire structures." Applied Physics Letters 107, no. 12 (2015): 122106. http://dx.doi.org/10.1063/1.4931369.

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46

Nagatani, Takashi, and H. Eugene Stanley. "Phase transition and crossover in diffusion-limited aggregation with reaction times." Physical Review A 42, no. 6 (1990): 3512–17. http://dx.doi.org/10.1103/physreva.42.3512.

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47

Kapral, R., S. G. Whittington, and C. Desai. "Aggregation at a surface: crossover behaviour in a biased diffusion model." Journal of Physics A: Mathematical and General 19, no. 9 (1986): 1727–34. http://dx.doi.org/10.1088/0305-4470/19/9/043.

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48

Shibkov, A. A., M. A. Zheltov, A. A. Korolev, A. A. Kazakov, and A. A. Leonov. "Crossover from diffusion-limited to kinetics-limited growth of ice crystals." Journal of Crystal Growth 285, no. 1-2 (2005): 215–27. http://dx.doi.org/10.1016/j.jcrysgro.2005.08.007.

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49

Rahm, Nils-Eric, Steffen Brundiers, Patrick Trinke, Boris Bensmann, and Richard Hanke-Rauschenbach. "On the Measurement of Hydrogen Crossover for Lab-Scale EHC Systems; Determining Main Influences on Crossover and Application on PEMWE Systems." ECS Meeting Abstracts MA2025-01, no. 38 (2025): 1834. https://doi.org/10.1149/ma2025-01381834mtgabs.

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The present analysis discusses results on hydrogen crossover and faradaic efficiency obtained with the same experimental measurement setup. The electrochemical compression of hydrogen with proton conducting Membranes (PEM) poses a promising alternative to mechanical compression. The high flexibility, noiseless operation and the option to compress hydrogen even from low pressure levels to up to 1000bar [1] are only some of the benefits, which set the technology apart. Similar to PEM water electrolysis (PEMWE) hydrogen back diffusion through the membrane is an important loss mechanism substantia
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Kurilovich, A. A., V. N. Mantsevich, K. J. Stevenson, A. V. Chechkin, and V. V. Palyulin. "Trapping-influenced photoluminescence intensity decay in semiconductor nanoplatelets." Journal of Physics: Conference Series 2015, no. 1 (2021): 012103. http://dx.doi.org/10.1088/1742-6596/2015/1/012103.

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Abstract We present a diffusion-based simulation model for explanation of long time power-law decay of photoluminescence (PL) emission intensity in semiconductor nanoplatelets. In our model the shape of emission curves is an outcome of interplay of recombination, diffusion and trapping of excitons. At short times the excitons diffuse freely following the normal diffusion behaviour. The emission decay is purely exponential and is defined by recombination. At long times the transition into the subdiffusive motion happens and the emission occurs due to the release of excitons from surface traps.
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