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1

Shin, Hyeyum Hailey, and Song-You Hong. "Representation of the Subgrid-Scale Turbulent Transport in Convective Boundary Layers at Gray-Zone Resolutions." Monthly Weather Review 143, no. 1 (2015): 250–71. http://dx.doi.org/10.1175/mwr-d-14-00116.1.

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Abstract Parameterization of the unresolved vertical transport in the planetary boundary layer (PBL) is one of the key physics algorithms in atmospheric models. This study attempts to represent the subgrid-scale (SGS) turbulent transport in convective boundary layers (CBLs) at gray-zone resolutions by investigating the effects of grid-size dependency in the vertical heat transport parameterization for CBL simulations. The SGS transport profile is parameterized based on the 2013 conceptual derivation by Shin and Hong. First, nonlocal transport via strong updrafts and local transport via the rem
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2

Li, Zhipeng, Hongwu Tang, Saiyu Yuan, Huiming Zhang, Lingzhong Kong, and HongGuang Sun. "Modeling Long-Distance Forward and Backward Diffusion Processes in Tracer Transport Using the Fractional Laplacian on Bounded Domains." Fractal and Fractional 7, no. 11 (2023): 823. http://dx.doi.org/10.3390/fractalfract7110823.

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Recent studies have emphasized the importance of the long-distance diffusion model in characterizing tracer transport occurring within both subsurface and surface environments, particularly in heterogeneous systems. Long-distance diffusion, often referred to as nonlocal diffusion, signifies that tracer particles may experience a considerably long distance in either the forward or backward direction along preferential channels during the transport. The classical advection–diffusion (ADE) model has been widely used to describe tracer transport; however, they often fall short in capturing the int
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3

Del Sorbo, D., J. L. Feugeas, Ph Nicolaï, M. Olazabal-Loumé, B. Dubroca, and V. Tikhonchuk. "Extension of a reduced entropic model of electron transport to magnetized nonlocal regimes of high-energy-density plasmas." Laser and Particle Beams 34, no. 3 (2016): 412–25. http://dx.doi.org/10.1017/s0263034616000252.

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AbstractLaser-produced high-energy-density plasmas may contain strong magnetic fields that affect the energy transport, which can be nonlocal. Models which describe the magnetized nonlocal transport are formally complicated and based on many approximations. This paper presents a more straightforward approach to the description of the electron transport in this regime, based on the extension of a reduced entropic model. The calculated magnetized heat fluxes are compared with the known asymptotic limits and applied for studying of a magnetized nonlocal plasma thermalization.
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4

Tzou, D. Y. "Nonlocal behavior in phonon transport." International Journal of Heat and Mass Transfer 54, no. 1-3 (2011): 475–81. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2010.09.022.

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5

Li, Dong, and Jose Rodrigo. "Remarks on a nonlocal transport." Advances in Mathematics 374 (November 2020): 107345. http://dx.doi.org/10.1016/j.aim.2020.107345.

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6

Shin, Hyeyum Hailey, and Song-You Hong. "Analysis of Resolved and Parameterized Vertical Transports in Convective Boundary Layers at Gray-Zone Resolutions." Journal of the Atmospheric Sciences 70, no. 10 (2013): 3248–61. http://dx.doi.org/10.1175/jas-d-12-0290.1.

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Abstract The gray zone of a physical process in numerical models is defined as the range of model resolution in which the process is partly resolved by model dynamics and partly parameterized. In this study, the authors examine the grid-size dependencies of resolved and parameterized vertical transports in convective boundary layers (CBLs) for horizontal grid scales including the gray zone. To assess how stability alters the dependencies on grid size, four CBLs with different surface heating and geostrophic winds are considered. For this purpose, reference data for grid-scale (GS) and subgrid-
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7

Ghannam, Khaled, Tomer Duman, Gabriel Katul, and Marcelo Chamecki. "GRADIENT-DIFFUSION CLOSURE AND THE EJECTION-SWEEP CYCLE IN CONVECTIVE BOUNDARY LAYERS." Ciência e Natura 38 (July 20, 2016): 552. http://dx.doi.org/10.5902/2179460x21576.

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The inadequacy of conventional gradient-diffusion closure in modeling turbulent heat flux within the convective atmospheric boundary-layer is often alleviated by accounting for nonlocal transport. Such nonlocal effects are a manifestation of the inherent asymmetry in vertical transport in the convective boundary layer, which is in turn associated with third-order moments (skewness and fluxes of fluxes). In this work, the role of these third-order moments in second-order turbulence closure of the sensible heat flux is examined with the goal of reconciling the models to various closure assumptio
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8

Silva, S. S. A., J. C. Santos, J. Büchner, and M. V. Alves. "Nonlocal heat flux effects on temperature evolution of the solar atmosphere." Astronomy & Astrophysics 615 (July 2018): A32. http://dx.doi.org/10.1051/0004-6361/201730580.

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Context. Heat flux is one of the main energy transport mechanisms in the weakly collisional plasma of the solar corona. There, rare binary collisions let hot electrons travel over long distances and influence other regions along magnetic field lines. Thus, the fully collisional heat flux models might not describe transport well enough since they consider only the local contribution of electrons. The heat flux in weakly collisional plasmas at high temperatures with large mean free paths has to consider the nonlocality of the energy transport in the frame of nonlocal models in order to treat ene
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9

Li, Kai, and Wen Yi Huo. "The nonlocal electron heat transport under the non-Maxwellian distribution in laser plasmas and its influence on laser ablation." Physics of Plasmas 30, no. 4 (2023): 042702. http://dx.doi.org/10.1063/5.0130888.

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The electron heat transport plays an important role in laser driven inertial confinement fusion. For the plasmas created by intense laser, the traditional Spitzer–Härm theory cannot accurately describe the electron heat transport process mainly due to two physical effects. First, the electron distribution function would significantly differ from the Maxwellian distribution because of the inverse bremsstrahlung heating. Second, the long mean free paths of heat carrying electrons relative to the temperature scale length indicate that the electron heat flux has the nonlocal feature. In 2020, we h
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10

del-Castillo-Negrete, D. "Fractional diffusion models of nonlocal transport." Physics of Plasmas 13, no. 8 (2006): 082308. http://dx.doi.org/10.1063/1.2336114.

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11

Bychenkov, V. Yu, J. P. Matte, and T. W. Johnston. "Nonlocal electron transport in spherical plasmas." Physics of Plasmas 3, no. 4 (1996): 1280–83. http://dx.doi.org/10.1063/1.871752.

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12

Ohtsu, S., S. Tanaka, and M. Yamawaki. "Divertor simulation with nonlocal transport effect." Journal of Nuclear Materials 220-222 (April 1995): 1005–9. http://dx.doi.org/10.1016/0022-3115(94)00462-5.

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13

Spizzo, Gianluca, Roscoe White, Marc Maraschek, Valentin Igochine, and Gustavo Granucci. "Nonlocal transport in toroidal plasma devices." Nuclear Fusion 59, no. 1 (2018): 016019. http://dx.doi.org/10.1088/1741-4326/aaf07c.

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14

Cushman, J. H., and B. X. Hu. "A resumé of nonlocal transport theories." Stochastic Hydrology and Hydraulics 9, no. 2 (1995): 105–16. http://dx.doi.org/10.1007/bf01585601.

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15

Shaing, K. C. "Potato, banana, local, and nonlocal transport." Physics of Plasmas 7, no. 12 (2000): 5081–86. http://dx.doi.org/10.1063/1.1322560.

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16

Ferry, D. K., and R. Akis. "Nonlocal effects in semiconductor nanostructure transport." Journal of Physics: Condensed Matter 20, no. 45 (2008): 454201. http://dx.doi.org/10.1088/0953-8984/20/45/454201.

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17

Karpen, Judith T., and C. Richard Devore. "Nonlocal thermal transport in solar flares." Astrophysical Journal 320 (September 1987): 904. http://dx.doi.org/10.1086/165608.

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18

Bychenkov, V. Yu, W. Rozmus, V. T. Tikhonchuk, and A. V. Brantov. "Nonlocal Electron Transport in a Plasma." Physical Review Letters 75, no. 24 (1995): 4405–8. http://dx.doi.org/10.1103/physrevlett.75.4405.

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19

Pogodaev, Nikolay, and Maxim Staritsyn. "Impulsive control of nonlocal transport equations." Journal of Differential Equations 269, no. 4 (2020): 3585–623. http://dx.doi.org/10.1016/j.jde.2020.03.007.

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20

Zhao, Hanzhi, Zhengming Sheng, and Suming Weng. "Nonlocal thermal transport in magnetized plasma along different directions." Matter and Radiation at Extremes 7, no. 4 (2022): 045901. http://dx.doi.org/10.1063/5.0086783.

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Nonlocal thermal transport in magnetized plasmas is studied theoretically and numerically with the Vlasov–Fokker–Planck (VFP) model, in which the magnetic field has nonzero components both perpendicular to and along the temperature gradient. Nonlocal heat transport is found in both the longitudinal and transverse directions, provided the temperature gradients are sufficiently large. The magnetic field tends to reduce the nonlocality of the thermal transport in the direction perpendicular to the magnetic field, i.e., the difference between the heat fluxes predicted by the Braginskii theory and
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21

Wang, Ye, Changxing Lan, Dan Zheng, Lei Li, and Baomin Wang. "Influence of Large Eddy Generation Mechanisms on the Turbulent Flux Transport in the Unstable Atmosphere Boundary Layer." Atmosphere 15, no. 11 (2024): 1266. http://dx.doi.org/10.3390/atmos15111266.

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The turbulent transport dissimilarity between momentum and scalars and the transport similarity among scalars have been widely investigated in unstable atmospheric boundary layers (ABLs). Although buoyancy and mechanically driven turbulence, along with variations in scalar sources and sinks, are recognized as key factors influencing transport similarity, the specific roles of local thermal plume-generated and nonlocal bulk shear-generated large eddies under varying stability conditions are less explored. This study utilized over four years of eddy covariance data sampled 50 m above a complex s
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22

TAKABE, Hideaki, and Shoichi YAMADA. "Nonlocal Transport Phenomena and Various Structure Formations in Plasmas. Nonlocal Transport in Laser Implosion and Supernova Explosion." Journal of Plasma and Fusion Research 78, no. 9 (2002): 861–70. http://dx.doi.org/10.1585/jspf.78.861.

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23

Ma, K. H., M. V. Patel, M. Sherlock, W. A. Farmer, and E. Johnsen. "Thermal transport modeling of laser-irradiated spheres." Physics of Plasmas 29, no. 11 (2022): 112307. http://dx.doi.org/10.1063/5.0005552.

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Thermal transport of uniformly laser-irradiated spheres of various materials is investigated computationally. One-dimensional simulations of low- to mid-Z materials (Be, Al, and Cu) are performed to evaluate the impact of nonlocal electron transport on experimental observables under laser intensities of relevance to direct-drive inertial confinement fusion. We compare thermal transport models of different levels of fidelity: flux-limited Spitzer–Harm diffusion, the Schurtz–Nicolai–Busquet (SNB) reduced-order nonlocal model, and a Fokker–Planck description. Spitzer–Harm diffusion with different
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24

Wu, Elynn, Handa Yang, Jan Kleissl, Kay Suselj, Marcin J. Kurowski, and João Teixeira. "On the Parameterization of Convective Downdrafts for Marine Stratocumulus Clouds." Monthly Weather Review 148, no. 5 (2020): 1931–50. http://dx.doi.org/10.1175/mwr-d-19-0292.1.

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Abstract The role of nonlocal transport on the development and maintenance of marine stratocumulus (Sc) clouds in coarse-resolution models is investigated, with a special emphasis on the downdraft contribution. A new parameterization of cloud-top-triggered downdrafts is proposed and validated against large-eddy simulation (LES) for two Sc cases. The applied nonlocal mass-flux scheme is part of the stochastic multiplume eddy-diffusivity/mass-flux (EDMF) framework decomposing the turbulent transport into local and nonlocal contributions. The complementary local turbulent transport is represented
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25

Wolf, M. J., F. Hübler, S. Kolenda, and D. Beckmann. "Charge and spin transport in mesoscopic superconductors." Beilstein Journal of Nanotechnology 5 (February 17, 2014): 180–85. http://dx.doi.org/10.3762/bjnano.5.18.

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Background: Non-equilibrium charge transport in superconductors has been investigated intensely in the 1970s and 1980s, mostly in the vicinity of the critical temperature. Much less attention has been paid to low temperatures and the role of the quasiparticle spin. Results: We report here on nonlocal transport in superconductor hybrid structures at very low temperatures. By comparing the nonlocal conductance obtained by using ferromagnetic and normal-metal detectors, we discriminate charge and spin degrees of freedom. We observe spin injection and long-range transport of pure, chargeless spin
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26

Fagioli, Simone, Alic Kaufmann, and Emanuela Radici. "Optimal control problems of nonlocal interaction equations." ESAIM: Control, Optimisation and Calculus of Variations 29 (2023): 40. http://dx.doi.org/10.1051/cocv/2023029.

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In the present work we deal with the existence of solutions for optimal control problems associated to transport equations. The behaviour of a population of individuals will be influenced by the presence of a population of control agents whose role is to lead the dynamics of the individuals towards a specific goal. The dynamics of the population of individuals is described by a suitable nonlocal transport equation, while the role of the population of agents is designed by the optimal control problem. This model has been first studied in [12] for a class of continuous nonlocal potentials, while
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27

Brantov, A. V., and V. Yu Bychenkov. "Nonlocal transport in hot plasma. Part I." Plasma Physics Reports 39, no. 9 (2013): 698–744. http://dx.doi.org/10.1134/s1063780x13090018.

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28

Brantov, A. V., and V. Yu Bychenkov. "Nonlocal transport in hot plasma. Part II." Plasma Physics Reports 40, no. 7 (2014): 505–63. http://dx.doi.org/10.1134/s1063780x14060026.

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29

Jacchia, A., P. Mantica, F. De Luca, P. Galli, and G. Gorini. "Nonlocal diffusivity: Impact on transient transport studies." Physics of Plasmas 2, no. 12 (1995): 4589–95. http://dx.doi.org/10.1063/1.871444.

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30

Spizzo, G., R. B. White, S. Cappello, and L. Marrelli. "Nonlocal transport in the reversed field pinch." Plasma Physics and Controlled Fusion 51, no. 12 (2009): 124026. http://dx.doi.org/10.1088/0741-3335/51/12/124026.

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31

Mirza, Arshad M., G. Murtaza, and M. S. Qaisar. "Nonlocal electron transport in laser-produced plasmas." Physica Scripta 42, no. 1 (1990): 85–88. http://dx.doi.org/10.1088/0031-8949/42/1/014.

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32

Shifren, L., and D. K. Ferry. "Inclusion of nonlocal scattering in quantum transport." Physics Letters A 306, no. 5-6 (2003): 332–36. http://dx.doi.org/10.1016/s0375-9601(02)01603-1.

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33

Mora, P., and J. F. Luciani. "Nonlocal electron transport in laser created plasmas." Laser and Particle Beams 12, no. 3 (1994): 387–400. http://dx.doi.org/10.1017/s0263034600008247.

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The classical linear Spitzer-Härm formula has been shown to lead to an overestimation of the electron heat flux in laser-plasma interaction experiments. We briefly review the classical theory of heat transport in a plasma, and give a simplified demonstration of the Spitzer-Härm formula. The electron heat conductivity is calculated for a large value of the ion charge Z. Correction due to a finite value of Z is evaluated with a simplified electron-electron collision operator. We then show that in a steep temperature gradient, the collisional mean free path of the electrons that transport the ene
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34

Silvestre, Luis, and Vlad Vicol. "On a transport equation with nonlocal drift." Transactions of the American Mathematical Society 368, no. 9 (2015): 6159–88. http://dx.doi.org/10.1090/tran6651.

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35

Canullo, M. V., A. Costa, and C. Ferro-Fontan. "Nonlocal Heat Transport in the Solar Wind." Astrophysical Journal 462 (May 1996): 1005. http://dx.doi.org/10.1086/177214.

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36

Brantov, A. V., V. Yu Bychenkov, V. T. Tikhonchuk, and W. Rozmus. "Nonlocal electron transport in laser heated plasmas." Physics of Plasmas 5, no. 7 (1998): 2742–53. http://dx.doi.org/10.1063/1.872962.

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37

TAKIZUKA, Tomonori, Hitoshi HOJO, and Tadatsugu HATORI. "Nonlocal Transport Phenomena and Various Structure Formations in Plasmas. Classical Nonlocal Phenomena in Magnetic Confinement Plasmas Nonlocal Transport Related to Dynamics along the Magnetic Field." Journal of Plasma and Fusion Research 78, no. 9 (2002): 878–84. http://dx.doi.org/10.1585/jspf.78.878.

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38

Jacobson, Hayden L., Danica L. Roth, Gabriel Walton, Margaret Zimmer, and Kerri Johnson. "Post-fire evolution of ravel transport regimes in the Diablo Range, CA." Earth Surface Dynamics 12, no. 6 (2024): 1415–46. https://doi.org/10.5194/esurf-12-1415-2024.

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Abstract. Post-fire changes to the transport regime of dry ravel, which describes the gravity-driven transport of individual particles downslope, are poorly constrained but critical to understand as ravel may contribute to elevated sediment fluxes and associated debris flow activity observed post-fire in the western United States. In this study, we evaluated post-fire variability in dry ravel travel distance exceedance probabilities and disentrainment rates in the Diablo Range of central coastal California following the Santa Clara Unit Lightning Complex fire of August 2020. Between March 2021
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39

Das, Shankar P. "Lattice Gas Model with Nonlocal Interactions." International Journal of Modern Physics B 11, no. 30 (1997): 3581–94. http://dx.doi.org/10.1142/s0217979297001799.

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We analyze the nature of the hydrodynamic modes in a Lattice Gas Automata (LGA) model defined on a hexagonal lattice and having nonlocal interactions of attractive and repulsive type simultaneously. The model is similar in spirit to the liquid gas model of Appert and Zaleski [Phys. Rev. Lett.64, 1 (1990)]. The phase diagram for the model is computed using the kinetic pressure. The dynamics is studied with a mean field type approach in the Boltzmann approximation ignoring effects of correlated collisions. We compute the transport coefficients and the speed of sound propagation. The presence of
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40

Roth, Danica L., Tyler H. Doane, Joshua J. Roering, David J. Furbish, and Aaron Zettler-Mann. "Particle motion on burned and vegetated hillslopes." Proceedings of the National Academy of Sciences 117, no. 41 (2020): 25335–43. http://dx.doi.org/10.1073/pnas.1922495117.

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Climate change is causing increasingly widespread, frequent, and intense wildfires across the western United States. Many geomorphic effects of wildfire are relatively well studied, yet sediment transport models remain unable to account for the rapid transport of sediment released from behind incinerated vegetation, which can fuel catastrophic debris flows. This oversight reflects the fundamental inability of local, continuum-based models to capture the long-distance particle motions characteristic of steeplands. Probabilistic, particle-based nonlocal models may address this deficiency, but em
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41

Roche, Stephan, Stephen R. Power, Branislav K. Nikolić, José Hugo García, and Antti-Pekka Jauho. "Have mysterious topological valley currents been observed in graphene superlattices?" Journal of Physics: Materials 5, no. 2 (2022): 021001. http://dx.doi.org/10.1088/2515-7639/ac452a.

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Abstract We provide a critical discussion concerning the claim of topological valley currents, driven by a global Berry curvature and valley Hall effect proposed in recent literature. After pointing out a major inconsistency of the theoretical scenario proposed to interpret giant nonlocal resistance, we discuss various possible alternative explanations and open directions of research to solve the mystery of nonlocal transport in graphene superlattices.
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42

Lazar, Omar. "On a 1D nonlocal transport equation with nonlocal velocity and subcritical or supercritical diffusion." Journal of Differential Equations 261, no. 9 (2016): 4974–96. http://dx.doi.org/10.1016/j.jde.2016.07.009.

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43

Gao, Qi, Chuanfei Zhang, Lin Zhou, et al. "One-Dimensional Nonequilibrium Radiation-Transport Equation under Diffusion Approximation and Its Discrete Scheme." Advances in Condensed Matter Physics 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/589074.

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Based on the nonlocal thermodynamic equilibrium state and large optical thickness of plasma, we establish one-dimensional nonequilibrium radiation-transport equation from diffusion approximation. Through finite volume method, the discrete scheme of radiation-transport equation and the conditions for its definite solution are proposed. The reliability of radiation-transport equation and its discrete scheme is validated.
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44

NISHIGUCHI, Akio. "Nonlocal Electron Heat Transport in Magnetized Dense Plasmas." Plasma and Fusion Research 9 (2014): 1404096. http://dx.doi.org/10.1585/pfr.9.1404096.

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45

Zheng, Zhen, W. Rozmus, V. Yu Bychenkov, A. V. Brantov, and C. E. Capjack. "Nonlocal transport model in equilibrium two-component plasmas." Physics of Plasmas 16, no. 10 (2009): 102301. http://dx.doi.org/10.1063/1.3234240.

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46

Prasad, M. K., and D. S. Kershaw. "Stable solutions of nonlocal electron heat transport equations." Physics of Fluids B: Plasma Physics 3, no. 11 (1991): 3087–91. http://dx.doi.org/10.1063/1.859995.

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47

Leggio, B., R. Messina, and M. Antezza. "Thermally activated nonlocal amplification in quantum energy transport." EPL (Europhysics Letters) 110, no. 4 (2015): 40002. http://dx.doi.org/10.1209/0295-5075/110/40002.

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48

Holec, M., J. Nikl, and S. Weber. "Nonlocal transport hydrodynamic model for laser heated plasmas." Physics of Plasmas 25, no. 3 (2018): 032704. http://dx.doi.org/10.1063/1.5011818.

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49

Silin, V. P. "Theory of nonlocal transport in laser produced plasmas." Physica Scripta T63 (January 1, 1996): 148–50. http://dx.doi.org/10.1088/0031-8949/1996/t63/022.

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50

Morawetz, K., V. Spicka, and P. Lipavsky. "Nonlocal kinetic theory. II. Transport and virial corrections." Le Journal de Physique IV 10, PR5 (2000): Pr5–183—Pr5–186. http://dx.doi.org/10.1051/jp4:2000529.

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