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Journal articles on the topic 'Anisotroping'

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1

Ben Slimane, Mourad. "Anisotropic Two-Microlocal Spaces and Regularity." Journal of Function Spaces 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/505796.

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We defineD-u-anisotropic two-microlocal spaces by decay conditions on anisotropic wavelet coefficients on anyD-u-anisotropic wavelet basis ofL2(Rd). We prove that these spaces allow the characterizing of pointwise anisotropic Hölder regularity. We also prove an anisotropic wavelet criterion for anisotropic uniform regularity. We finally prove that both this criterion and anisotropicD-u-two-microlocal spaces are independent of the chosen anisotropicD-u-orthonormal wavelet basis.
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2

Xiong, Zonghou. "Electromagnetic fields of electric dipoles embedded in a stratified anisotropic earth." GEOPHYSICS 54, no. 12 (1989): 1643–46. http://dx.doi.org/10.1190/1.1442633.

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The anisotropy of electrical conductivity in earth formations may be caused by crystal anisotropies of minerals, as well as by minilayers which occur frequently in sedimentary environments. The effects of anisotropy on the propagation of electromagnetic (EM) fields have been studied by many geophysicists. For instance, Kong (1972) and Wait (1981) solved the EM propagation problem for vertically anisotropic layered earths; O’Brien and Morrison (1967), for a horizontally anisotropic multilayer half‐space; Chetayev (1960), as well as Reddy and Rankin (1971), for media of dipping anisotropies; and
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3

Badreddine, Houssem, and Khemais Saanouni. "On the full coupling of plastic anisotropy and anisotropic ductile damage under finite strains." International Journal of Damage Mechanics 26, no. 7 (2016): 1080–123. http://dx.doi.org/10.1177/1056789516635729.

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In this work, thermodynamically consistent, non-associative and fully anisotropic elastoplastic constitutive equations strongly coupled with ductile anisotropic damage developed in previous work are used to study the responses of the proposed model under various simple and complex loading paths. First, the complete set of the fully coupled non-associative constitutive equations based on the rotated frame formulation (RFF) for finite strains is summarized and shortly discussed. Then, the effect of the rotating frame in the model response is analyzed on the light of typical loading paths. The in
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4

Chluba, Jens, Andrea Ravenni, and Thomas Kite. "Spectro-spatial evolution of the CMB. Part II. Generalised Boltzmann hierarchy." Journal of Cosmology and Astroparticle Physics 2023, no. 11 (2023): 027. http://dx.doi.org/10.1088/1475-7516/2023/11/027.

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Abstract In this paper, we formulate a generalised photon Boltzmann hierarchy that allows us to model the evolution and creation of spectral distortion anisotropies caused by energy release in the early Universe. We directly build on our first paper in this series, extending the thermalisation Green's function treatment to the anisotropic case. We show that the problem can be described with the common Boltzmann hierarchy for the photon field extended by new spectral parameters — a step that reduces the complexity of the calculation by at least two orders of magnitude. Our formalism describes t
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5

Remazeilles, Mathieu, Andrea Ravenni та Jens Chluba. "Leverage on small-scale primordial non-Gaussianity through cross-correlations between CMB E-mode and μ-distortion anisotropies". Monthly Notices of the Royal Astronomical Society 512, № 1 (2022): 455–70. http://dx.doi.org/10.1093/mnras/stac519.

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ABSTRACT Multifield inflation models and non-Bunch–Davies vacuum initial conditions both predict sizeable non-Gaussian primordial perturbations and anisotropic μ-type spectral distortions of the cosmic microwave background (CMB) blackbody. While CMB anisotropies allow us to probe non-Gaussianity at wavenumbers $k\simeq 0.05\, {\rm Mpc^{-1}}$, μ-distortion anisotropies are related to non-Gaussianity of primordial perturbation modes with much larger wavenumbers, $k\simeq 740\, {\rm Mpc^{-1}}$. Through cross-correlations between CMB and μ-distortion anisotropies, one can therefore shed light on t
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6

Zhang, Chao, Xiangzhuang Kong, Xian Wang, Yanxia Du, and Guangming Xiao. "A Predicting Model for the Effective Thermal Conductivity of Anisotropic Open-Cell Foam." Energies 15, no. 16 (2022): 6091. http://dx.doi.org/10.3390/en15166091.

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The structural anisotropy of open-cell foam leads to the anisotropy of effective thermal conductivity (ETC). To quantitatively analyze the effect of structural anisotropy on the anisotropy of ETC, a new predicting model for the ETC of anisotropic open-cell foam was proposed based on an anisotropy tetrakaidecahedron cell (ATC). Feret diameters in three orthogonal directions obtained by morphological analysis of real foam structures were used to characterize the anisotropy of ATC. To validate our proposed anisotropic model, the ETCs of real foam structures in three orthogonal directions predicte
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7

Mishra, B., and S. K. Tripathy. "Anisotropic dark energy model with a hybrid scale factor." Modern Physics Letters A 30, no. 36 (2015): 1550175. http://dx.doi.org/10.1142/s0217732315501758.

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Anisotropic dark energy model with dynamic pressure anisotropies along different spatial directions is constructed at the backdrop of a spatially homogeneous diagonal Bianchi type V (BV) spacetime in the framework of General Relativity. A time varying deceleration parameter generating a hybrid scale factor is considered to simulate a cosmic transition from early deceleration to late time acceleration. We found that the pressure anisotropies along the y- and z-axes evolve dynamically and continue along with the cosmic expansion without being subsided even at late times. The anisotropic pressure
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8

Zhao, Mingrui. "Pinning down the origin of collective flow in small systems with ALICE." EPJ Web of Conferences 296 (2024): 15007. http://dx.doi.org/10.1051/epjconf/202429615007.

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In this proceeding, the new preliminary results of anisotropic flow in pp, p–Pb, and Pb–Pb collisions measured with ALICE are presented. The highlights include the flow of charged particles, correlations and fluctuations of flow vectors, and correlations between the mean transverse momentum and flow coefficients, ρ(vn2,[pT]). We compare our results to state-of-the-art theoretical models, allowing us to study contributions from initial momentum anisotropies to final anisotropic flow and understand how anisotropic flow is developed from the initial geometry through the system’s dynamic evolution
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9

CLAUSEL, M., and B. VEDEL. "EXPLICIT CONSTRUCTION OF OPERATOR SCALING GAUSSIAN RANDOM FIELDS." Fractals 19, no. 01 (2011): 101–11. http://dx.doi.org/10.1142/s0218348x11005208.

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We propose an explicit way to generate a large class of Operator scaling Gaussian random fields (OSGRF). Such fields are anisotropic generalizations of self-similar fields. More specifically, we are able to construct any Gaussian field belonging to this class with given Hurst index and exponent. Our construction provides — for simulations of texture as well as for detection of anisotropies in an image — a large class of models with controlled anisotropic geometries and structures.
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10

Castro, Caio Leandro Perdigão, José Jadsom Sampaio de Figueiredo, and Isadora Augusta Soares de Macedo. "COMPARING TWO APPROACHES ON THE ESTIMATIVE ANISOTROPIC PARAMETERSFROM WELL LOGS: AN APPLICATION ON THE NORNE FIELD DATASET." Revista Brasileira de Geofísica 36, no. 4 (2018): 1. http://dx.doi.org/10.22564/rbgf.v36i4.1971.

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ABSTRACT. Estimating the elastic properties of the rocks in the subsurface is a task with many challenges. The main goal of this work is to estimate the Thomsen anisotropic parameters from the inversion of elastic stiffness coefficients using data from five wells of the Norne Field, located at Norway. We compare the results of these parameters with the Backus average, using Li’s empirical method. Further, aspect ratio and crack density are calculated from the results of the elastic stiffness coefficients. It is considered a transversely isotropic medium. The results from the two methods showed
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11

Heiba, Z. K., and Karimat El-Sayed. "Structural and anisotropic thermal expansion correlation of Li2ZrO3at different temperatures." Journal of Applied Crystallography 35, no. 5 (2002): 634–36. http://dx.doi.org/10.1107/s0021889802011214.

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Structural and thermal expansion studies of Li2ZrO3were carried out by recording X-ray powder diffraction patterns at five temperatures, 82, 198, 300, 423 and 573 K. The Rietveld refinement method was used for the analysis. There were large anisotropic changes in the lattice parameters as a function of temperature, slight changes in the fractional coordinates of the different atoms, and anisotropic changes in the interatomic distances between the different cations. The correlation of these anisotropies with the structure is considered.
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12

Hood, J. A. "A simple method for decomposing fracture‐induced anisotropy." GEOPHYSICS 56, no. 8 (1991): 1275–79. http://dx.doi.org/10.1190/1.1443149.

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A heterogeneous mixture of isotropic elements may appear homogeneous and anisotropic when the scale of its fabric is smaller than the seismic wavelengths that measure it (Backus, 1962). These fabrics can result from thin layering or from oriented microcracks or fractures. In many situations the anisotropy is quite complex, resulting, for example, from fractures in previously anisotropic media. Since these anisotropies combine, the effect of each must be separated to permit the study of either the fractures or the preexisting anisotropy.
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13

Shen, Yangyang, Anton Artemyev, Vassilis Angelopoulos, Terry Z. Liu, and Ivan Vasko. "Comparing Plasma Anisotropy Associated with Solar Wind Discontinuities and Alfvénic Fluctuations." Astrophysical Journal 961, no. 1 (2024): 41. http://dx.doi.org/10.3847/1538-4357/ad110b.

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Abstract Solar wind magnetic field fluctuations exhibit a complex multiscale nature, often encompassing ion-scale discontinuities and MHD-scale Alfvénic fluctuations. Both of these types of structures are thought to play a critical role in plasma heating and turbulence dissipation. Here we comparatively analyze the plasma pressure anisotropies within discontinuities and adjacent Alfvénic fluctuations, leveraging unique solar wind observations from orbit conjunctions between the ARTEMIS and WIND missions, along the same flow streamline, though about 150 Earth radii apart. Based on 11 cases of s
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14

Gudelev, V. G., L. P. Svirina, and Yu P. Zhurik. "Polarization Dynamical Phenomena in Gas Lasers with Weakly Anisotropic Cavities." International Journal of Bifurcation and Chaos 08, no. 05 (1998): 1025–32. http://dx.doi.org/10.1142/s0218127498000838.

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This paper presents the results of theoretical and experimental studies of a series of polarization dynamical phenomena in a single-mode standing-wave class-A laser with weakly anisotropic cavity at elliptically polarized eigenstates. The existence of spontaneous pulsations caused by the competition of active medium and empty cavity anisotropies is also proved.
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15

Yuan, Xiao, P. S. Riseborough, Eleonir Calegari, and Sergio Magalhaes. "Enhanced Spin Orbit Interaction in Actinides." Journal of Physics: Conference Series 2164, no. 1 (2022): 012059. http://dx.doi.org/10.1088/1742-6596/2164/1/012059.

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Abstract We investigate the effect of many-body interactions on the spin-orbit coupling of anisotropic metals. We use the Underscreened Anderson Lattice Model that was proposed to describe actinide compounds. The Coulomb interactions induce off-diagonal correlations that enhance the components of the spin-orbit coupling. Modest values of the Coulomb interaction U can significantly enhance the spin-orbit coupling and effect the electronic spectrum. The enhancements are most pronounced for systems that are on the verge of magnetic instabilities. The enhancement is anisotropic in crystals with no
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16

Hentschel, Martina, Samuel Schlötzer, and Lukas Seemann. "Ray–Wave Correspondence in Anisotropic Mesoscopic Billiards." Entropy 27, no. 2 (2025): 132. https://doi.org/10.3390/e27020132.

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Mesoscopic billiard systems for electrons and light, realized as quantum dots or optical microcavities, have enriched the fields of quantum chaos and nonlinear dynamics not only by enlarging the class of model systems, but also by providing access to their experimental realization. Here, we add yet another system class, two-dimensional billiards with anisotropies. One example is the anisotropic dispersion relation relevant in bilayer graphene known as trigonal warping, and another is the birefringent closed optical disk cavity. We demonstrate that the established concept of ray–wave correspond
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17

Pranowo, Waskito, and Sonny Winardhi. "Application of Velocity Variation with Angle (VVA) Method on an Anisotropic Model with Thomsen Delta Anisotropy Parameters." Jurnal Geofisika 16, no. 2 (2018): 6. http://dx.doi.org/10.36435/jgf.v16i2.371.

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Anisotropic properties will influence seismic propagation, for example it will affect wave velocity. One of well-known anisotropi equation for Transversaly Isotropic media is weak anisotropy with Thomsen's notation. Supriyono [2011] tried to estimate all of these variables by using velocity variation with angle (VVA) attribute. This research uses synthetic data, which is CMP Gather to know limitations of VVA attribute, to identify the error values, and to determine the best indicator of anisotropic eect. This research also uses another analysis method, which is grid search inversion to estimat
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18

López-Corredoira, Martín. "Wrinkles in the Galaxy." Symposium - International Astronomical Union 201 (2005): 482–83. http://dx.doi.org/10.1017/s007418090021677x.

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New calculations of the Galactic contribution to microwave background radiation anisotropies are carried out and a probable Galactic predominance over cosmological signals at large scales is explored for these frequencies. When we take into account a frequency-dependent contrast of molecular clouds with respect to the Galactic background of the diffuse interstellar medium, the anisotropic amplitude produced by Galactic dust is of the same order as that of the data from the observations. The frequency independence of anisotropies in the microwave range is not necessarily an argument against the
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19

Bouknia, Mohamed Lamine, Chemseddine Zebiri, Djamel Sayad, et al. "Theoretical Study of the Input Impedance and Electromagnetic Field Distribution of a Dipole Antenna Printed on an Electrical/Magnetic Uniaxial Anisotropic Substrate." Electronics 10, no. 9 (2021): 1050. http://dx.doi.org/10.3390/electronics10091050.

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The present work considers the investigation of the effects of both electrical and magnetic uniaxial anisotropies on the input impedance, resonant length, and fields distribution of a dipole printed on an anisotropic grounded substrate. In this study, the associated integral equation, based on the derivation of the Green’s functions in the spectral domain, is numerically solved employing the method of moments. In order to validate the computing method and the evaluated calculation code, numerical results are compared with available data in the literature treating particular cases of electrical
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20

Seemann, Lukas, Jana Lukin, Max Häßler, Sibylle Gemming, and Martina Hentschel. "Complex Dynamics in Circular and Deformed Bilayer Graphene-Inspired Billiards with Anisotropy and Strain." Symmetry 17, no. 2 (2025): 202. https://doi.org/10.3390/sym17020202.

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While billiard systems of various shapes have been used as paradigmatic model systems in the fields of nonlinear dynamics and quantum chaos, few studies have investigated anisotropic billiards. Motivated by the tremendous advances in using and controlling electronic and optical mesoscopic systems with bilayer graphene (BLG), representing an easily accessible anisotropic material for electrons when trigonal warping is present, we investigate billiards of various anisotropies and geometries using a trajectory-tracing approach founded on the concept of ray–wave correspondence. We find that the pr
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21

Shaaban, S. M., M. Lazar, R. A. López, and R. F. Wimmer-Schweingruber. "On the interplay of solar wind proton and electron instabilities: linear and quasi-linear approaches." Monthly Notices of the Royal Astronomical Society 503, no. 3 (2021): 3134–44. http://dx.doi.org/10.1093/mnras/stab075.

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ABSTRACT Important efforts are currently being made to understand the so-called kinetic instabilities, driven by the anisotropy of different species of plasma particles present in the solar wind and terrestrial magnetosphere. These instabilities are fast enough to efficiently convert the free energy of plasma particles into enhanced (small-scale) fluctuations, with multiple implications, regulating the anisotropy of plasma particles. In this paper we use both linear and quasi-linear (QL) frameworks to describe complex unstable regimes, which realistically combine different temperature anisotro
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22

Cleanthous, Galatia, Athanasios G. Georgiadis, and Morten Nielsen. "Fourier multipliers on anisotropic mixed-norm spaces of distributions." MATHEMATICA SCANDINAVICA 124, no. 2 (2019): 289–304. http://dx.doi.org/10.7146/math.scand.a-113031.

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A new general Hörmander type condition involving anisotropies and mixed norms is introduced, and boundedness results for Fourier multipliers on anisotropic Besov and Triebel-Lizorkin spaces of distributions with mixed Lebesgue norms are obtained. As an application, the continuity of such operators is established on mixed Sobolev and Lebesgue spaces too. Some lifting properties and equivalent norms are obtained as well.
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23

Cui, Yanou, Soubhik Kumar, Raman Sundrum, and Yuhsin Tsai. "Unraveling cosmological anisotropies within stochastic gravitational wave backgrounds." Journal of Cosmology and Astroparticle Physics 2023, no. 10 (2023): 064. http://dx.doi.org/10.1088/1475-7516/2023/10/064.

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Abstract Identifying the anisotropies in a cosmologically sourced stochastic gravitational wave background (SGWB) would be of significance in shedding light on the nature of primordial inhomogeneities. For example, if SGWB carries isocurvature fluctuations, it would provide evidence for a multi-field inflationary origin of these inhomogeneities. However, this is challenging in practice due to finite detector sensitivity and also the presence of the astrophysical foregrounds that can compete with the cosmological signal. In this work, we explore the prospects for measuring cosmological SGWB ani
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24

Bloch, Pierre-Yves, Jean-Francis Bloch, Konrad Olejnik, and Daniel Brissaud. "Anisotropy and Fiber Orientation: A Key Player in the Lateral Imbibition of Cellulose Paper." Fibers 12, no. 7 (2024): 56. http://dx.doi.org/10.3390/fib12070056.

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In this article, we delve into the influence of fiber orientation (structural anisotropy) on paper imbibition, with a particular focus on in-plane imbibition. Utilizing the XLPA experimental method, we analyze several papers with different anisotropies, employing a constant volume of ethanol as the imbibing fluid. Our findings contribute novel insights into the anisotropic behavior of imbibition, a topic not extensively covered in the literature. We analyze how the orientation of fibers significantly influences lateral imbibition, providing a deeper understanding of the microfluidic properties
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25

Janhunen, P., A. Olsson, H. Laakso, and A. Vaivads. "Middle-energy electron anisotropies in the auroral region." Annales Geophysicae 22, no. 1 (2004): 237–49. http://dx.doi.org/10.5194/angeo-22-237-2004.

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Abstract. Field-aligned anisotropic electron distribution functions of T∥ > T⊥ type are observed on auroral field lines at both low and high altitudes. We show that typically the anisotropy is limited to a certain range of energies, often below 1keV, although sometimes extending to slightly higher energies as well. Almost always there is simultaneously an isotropic electron distribution at higher energies. Often the anisotropies are up/down symmetrical, although cases with net upward or downward electron flow also occur. For a statistical analysis of the anisotropies we divide the energy ra
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26

Favieres, C., J. Vergara, and V. Madurga. "High magnetic, transport, and optical uniaxial anisotropies generated by controlled directionally grown nano-sheets in Fe thin films." Journal of Applied Physics 133, no. 12 (2023): 124301. http://dx.doi.org/10.1063/5.0137575.

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Fe films with thicknesses between 17 and 95 nm were grown with a nano-sheet morphology, which enabled their high uniaxial magnetic, transport, and optical in-plane anisotropies. The top edge of the nano-sheets was directly visualized as nano-string-like structures of approximately 12.5–14 nm width and 100–300 nm length. The hysteresis loops showed a clear easy direction of magnetization in the longitudinal direction of the nano-sheets, whereas the hard direction loops were anhysteretic, with no remanence and zero coercive field. The anisotropy field exhibited values between 70 and 111 kA/m dep
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27

Sharma, M. D. "Rayleigh wave at the surface of a general anisotropic poroelastic medium: derivation of real secular equation." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2211 (2018): 20170589. http://dx.doi.org/10.1098/rspa.2017.0589.

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A secular equation governs the propagation of Rayleigh wave at the surface of an anisotropic poroelastic medium. In the case of anisotropy with symmetry, this equation is obtained as a real irrational equation. But, in the absence of anisotropic symmetries, this secular equation is obtained as a complex irrational equation. True surface waves in non-dissipative materials decay only with depth. That means, propagation of Rayleigh wave in anisotropic poroelastic solid should be represented by a real phase velocity. In this study, the determinantal system leading to the complex secular equation i
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28

Okhrem, V. "NEW IODEL OF ANISOTROPIC THERMOELEMENT." Sciences of Europe, no. 130 (December 11, 2023): 68–75. https://doi.org/10.5281/zenodo.10352605.

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A new model of an anisotropic thermoelement is proposed, in which the current density depends on the ordinate. Taking this dependence into account leads to completely different conclusions regarding the dependence of the main characteristics of the thermoelement (thermopower, maximum temperature reduction, etc.) on material and dimensional constants. And, most importantly, the performance characteristics do not depend on the anisotropic quality factor. The work calculates the main operating characteristics of an anisotropic generator and an anisotropic refrigerator and shows that they are not
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29

Strauss, R. D., J. P. van den Berg, and J. S. Rankin. "Cosmic-Ray Transport near the Sun." Astrophysical Journal 928, no. 1 (2022): 22. http://dx.doi.org/10.3847/1538-4357/ac582a.

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Abstract The strongly diverging magnetic field lines in the very inner heliosphere, through the associated magnetic focusing/mirroring forces, can, potentially, lead to highly anisotropic galactic cosmic-ray distributions close to the Sun. Using a simplified analytical approach, validated by numerical simulations, we study the behavior of the galactic cosmic-ray distribution in this newly explored region of the heliosphere and find that significant anisotropies can be expected inside 0.2 au.
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30

Yu, Jing, Yongmei Zhang, Yuhong Zhao, and Yue Ma. "Anisotropies in Elasticity, Sound Velocity, and Minimum Thermal Conductivity of Low Borides VxBy Compounds." Metals 11, no. 4 (2021): 577. http://dx.doi.org/10.3390/met11040577.

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Anisotropies in the elasticity, sound velocity, and minimum thermal conductivity of low borides VB, V5B6, V3B4, and V2B3 are discussed using the first-principles calculations. The various elastic anisotropic indexes (AU, Acomp, and Ashear), three-dimensional (3D) surface contours, and their planar projections among different crystallographic planes of bulk modulus, shear modulus, and Young’s modulus are used to characterize elastic anisotropy. The bulk, shear, and Young’s moduli all show relatively strong degrees of anisotropy. With increased B content, the degree of anisotropy of the bulk mod
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31

Chen, Shutian, Zhengcao Li, and Zhengjun Zhang. "Fabrication and Optical Property of PeriodicSn1-xTixO2Nanostructures Patterned by the Polystyrene Microsphere Templates." Journal of Nanomaterials 2011 (2011): 1–7. http://dx.doi.org/10.1155/2011/510237.

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Regular arrays ofSn1-xTixO2nanostructures were fabricated by glancing angle sputter deposition onto self-assembled close-packed arrays of 200 nm diameter, 500 nm diameter, and 1 μm diameter polystyrene microspheres, respectively. The morphology of the nanostructures could be modulated by the variation of the sputtering power of Ti target and the size of polystyrene microspheres templates. Accordingly, the performance of reflection which was dependent on the morphology of nanostructures could be tuned by optimizing the parameters. The anisotropic morphology of nanoflakes achieved by adjusting t
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32

Garemstani, Hamid, Dong Sheng Li, and Moe A. Khaleel. "Microstructure Sensitive Design and Quantitative Prediction of Effective Conductivity in Fuel Cell Design." Materials Science Forum 561-565 (October 2007): 315–18. http://dx.doi.org/10.4028/www.scientific.net/msf.561-565.315.

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Statistical continuum approach is used to predict effective conductivity of anisotropic random porous heterogeneous media using two-point correlation functions. Probability functions play a critical role in describing the statistical distribution of different constituents in a heterogeneous media. In this study a 3-dimensional two-point correlation function is utilized to characterize the anisotropic porous media of a Cathode materials to incorporate all the details of the microstructure. These correlation functions are then linked to the effective properties using homogenization relations. An
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33

MOHAPATRA, RANJITA K., P. S. SAUMIA, and AJIT M. SRIVASTAVA. "ANALYZING FLOW ANISOTROPIES WITH EXCURSION SETS IN RELATIVISTIC HEAVY-ION COLLISIONS." Modern Physics Letters A 27, no. 29 (2012): 1250168. http://dx.doi.org/10.1142/s0217732312501684.

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We show that flow anisotropies in relativistic heavy-ion collisions can be analyzed using a certain technique of shape analysis of excursion sets recently proposed by us for CMBR fluctuations to investigate anisotropic expansion history of the universe. The technique analyzes shapes (sizes) of patches above (below) certain threshold value for transverse energy/particle number (the excursion sets) as a function of the azimuthal angle and rapidity. Modeling flow by imparting extra anisotropic momentum to the momentum distribution of particles from HIJING, we compare the resulting distributions f
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34

Sarwar, Golam, and Jan-e. Alam. "Kinetic evolution and correlation of fluctuations in an expanding quark gluon plasma." International Journal of Modern Physics A 33, no. 08 (2018): 1850040. http://dx.doi.org/10.1142/s0217751x18500409.

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Evolution of spatially anisotropic perturbation created in the system formed after Relativistic Heavy Ion Collisions has been studied. The microscopic evolution of the fluctuations has been examined within the ambit of Boltzmann Transport Equation (BTE) in a hydrodynamically expanding background. The expansion of the background composed of quark gluon plasma (QGP) is treated within the framework of relativistic hydrodynamics. Spatial anisotropic fluctuations with different geometries have been evolved through Boltzmann equation. It is observed that the trace of such fluctuation survives the ev
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35

Allen, GW, RS Armstrong, MJ Aroney, RK Pierens, and KR Skamp. "Anisotropic Polarizabilities of Tin(IV)-Containing Groups." Australian Journal of Chemistry 39, no. 2 (1986): 221. http://dx.doi.org/10.1071/ch9860221.

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Electric birefringences , dipole moments and refractivities are reported for a series of organotin compounds. From these are deduced molecular polarizability anisotropies which, with data from Raman band intensities, can be dissected to give the anisotropic polarizabilities for component tin-containing groups. The results fit reasonably within a 'valence-optical' scheme of group polarizability additivity. Regular trends are observed in the directional polarizabilities of groups containing the Group 4b elements Si, Ge and Sn.
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36

Yuan, S. P., and R. M. C. So. "Turbulent rotating flow calculations: An assessment of two-equation anisotropic and Reynolds stress models." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 212, no. 3 (1998): 193–212. http://dx.doi.org/10.1243/0954410981532270.

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The stress field in a rotating turbulent internal flow is highly anisotropic. This is true irrespective of whether the axis of rotation is aligned with or normal to the mean flow plane. Consequently, turbulent rotating flow is very difficult to model. This paper attempts to assess the relative merits of three different ways to account for stress anisotropies in a rotating flow. One is to assume an anisotropic stress tensor, another is to model the anisotropy of the dissipation rate tensor, while a third is to solve the stress transport equations directly. Two different near-wall two-equation m
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37

Sioulas, Nikos, Marco Velli, Zesen Huang, et al. "On the Evolution of the Anisotropic Scaling of Magnetohydrodynamic Turbulence in the Inner Heliosphere." Astrophysical Journal 951, no. 2 (2023): 141. http://dx.doi.org/10.3847/1538-4357/acc658.

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Abstract We analyze a merged Parker Solar Probe (PSP) and Solar Orbiter (SO) data set covering heliocentric distances 13 R ⊙ ≲ R ≲ 220 R ⊙ to investigate the radial evolution of power and spectral index anisotropy in the wavevector space of solar wind turbulence. Our results show that anisotropic signatures of turbulence display a distinct radial evolution when fast, V sw ≥ 400 km s−1, and slow, V sw ≤ 400 km s−1, wind streams are considered. The anisotropic properties of slow wind in Earth orbit are consistent with a “critically balanced” cascade, but both spectral index anisotropy and power
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38

Welemane, Hélène, Cristina Goidescu, Djimédo Kondo, Olivier Pantalé, and Moussa Karama. "Brittle Damage in Initially Anisotropic Materials: A Model Accounting for the Induced Anisotropy and Unilateral Effects." Applied Mechanics and Materials 784 (August 2015): 173–78. http://dx.doi.org/10.4028/www.scientific.net/amm.784.173.

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A new micromechanical modelling approach for brittle damage in initially orthotropic materials is presented. The proposed strain-based energy formulation allows to derive a fully anisotropic multilinear model for microcracked materials with arbitrary oriented defects. The thermodynamics framework provides a standard procedure for the damage evolution law. The new model explicitly accounts for the interaction between primary and induced anisotropies. Moreover, the very challenging issue of opening-closure effects (unilateral behavior) is addressed in this framework.
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39

LEUNG, KWAN-TAI. "FINITE-SIZE SCALING AT CRITICAL POINTS WITH SPATIAL ANISOTROPIES." International Journal of Modern Physics C 03, no. 02 (1992): 367–83. http://dx.doi.org/10.1142/s0129183192000294.

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We report some selected recent developments in the finite-size scaling theory of critical phenomena occurring in systems with strong spatial anisotropies. Such systems are characterized by correlation lengths divergent with different exponents (ν⊥, ν||) along different directions. Attention is focused on the driven diffusive lattice gas that exhibits a second order nonequilibrium phase transition. We present in detail the phenomenology and its comparison with computer simulation. Novel features of finite-size effects in anisotropic nonequilibrium systems are emphasized.
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40

Gander, Martin J., Laurence Halpern, Florence Hubert, and Stella Krell. "Optimized Schwarz methods with general Ventcell transmission conditions for fully anisotropic diffusion with discrete duality finite volume discretizations." Moroccan Journal of Pure and Applied Analysis 7, no. 2 (2020): 182–213. http://dx.doi.org/10.2478/mjpaa-2021-0014.

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Abstract We introduce a new non-overlapping optimized Schwarz method for fully anisotropic diffusion problems. Optimized Schwarz methods take into account the underlying physical properties of the problem at hand in the transmission conditions, and are thus ideally suited for solving anisotropic diffusion problems. We first study the new method at the continuous level for two subdomains, prove its convergence for general transmission conditions of Ventcell type using energy estimates, and also derive convergence factors to determine the optimal choice of parameters in the transmission conditio
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41

Song, Honghua, Yixin Zhao, Yaodong Jiang, and Jiehao Wang. "Scale Effect on the Anisotropy of Acoustic Emission in Coal." Shock and Vibration 2018 (December 18, 2018): 1–11. http://dx.doi.org/10.1155/2018/8386428.

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Acoustic emission (AE) in coal is anisotropic. In this paper, we investigate the microstructure-related scale effect on the anisotropic AE feature in coal at unconfined loading process. A series of coal specimens were processed with diameters of 25 mm, 38 mm, 50 mm, and 75 mm (height to diameter ratio of 2) and anisotropic angles of 0°, 15°, 30°, 45°, 60°, and 90°. The cumulative AE counts and energy dissipation increase with the specimen size, while the energy dissipation per AE count behaves in the opposite way. This may result from the increasing amount of both preexisting discontinuities a
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42

Yu, Yu, Wanfu Shen, Guoteng Ma, et al. "Anomalous narrow-band optical anisotropy of MoO2 crystal in the visible regime." Applied Physics Letters 121, no. 25 (2022): 251901. http://dx.doi.org/10.1063/5.0124683.

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The emergence of anisotropic two-dimensional (2D) materials provides a platform for the cutting-edge nano- and optoelectronic devices. Exploring low-dimensional materials and revealing their anisotropic behavior are crucial for designing angle-dependent nanodevices. The metallicity of molybdenum dioxide (MoO2) crystal differentiates it from the most commonly studied semi-conductive anisotropic 2D materials. However, the studies on its optical anisotropy are still lacking. Here, two most commonly obtained shapes of rhombic and hexagonal MoO2 were synthesized by one step method of chemical vapor
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43

Hoffman, Robert M., Tyler A. P. Evans, Kasra Taghikhani, John R. Berger, and Robert J. Kee. "Modeling the Anisotropic Transport Behavior for Axisymmetric 2D Electrode Particles Using a Modified Pseudo-2D Model Framework." ECS Meeting Abstracts MA2023-01, no. 2 (2023): 681. http://dx.doi.org/10.1149/ma2023-012681mtgabs.

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This presentation extends widely used pseudo-2D (P2D) Li-ion battery models to include electrode particles that have strong crystal-scale anisotropies and possibly non-spherical shapes. Typical P2D models predict Li transport with representative spherical electrode particles by solving a one-dimensional diffusion equation in spherical coordinates. However, battery electrodes (graphite, NMC, etc.) may have strong crystalline anisotropies, leading to transport and mechanical properties that vary by orders of magnitude depending on crystallographic orientations. The anisotropic transport can caus
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44

Mannion, Damien J., J. Scott McDonald, and Colin W. G. Clifford. "Orientation Anisotropies in Human Visual Cortex." Journal of Neurophysiology 103, no. 6 (2010): 3465–71. http://dx.doi.org/10.1152/jn.00190.2010.

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Representing the orientation of features in the visual image is a fundamental operation of the early cortical visual system. The nature of such representations can be informed by considering anisotropic distributions of response across the range of orientations. Here we used functional MRI to study modulations in the cortical activity elicited by observation of a sinusoidal grating that varied in orientation. We report a significant anisotropy in the measured blood-oxygen level-dependent activity within visual areas V1, V2, V3, and V3A/B in which horizontal orientations evoked a reduced respon
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45

Giani, Leonardo, Oliver F. Piattella, and Alexander Yu Kamenshchik. "Bianchi IX gravitational collapse of matter inhomogeneities." Journal of Cosmology and Astroparticle Physics 2022, no. 03 (2022): 028. http://dx.doi.org/10.1088/1475-7516/2022/03/028.

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Abstract We investigate a model of gravitational collapse of matter inhomogeneities where the latter are modelled as Bianchi type IX (BIX) spacetimes. We found that this model contains, as limiting cases, both the standard spherical collapse model and the Zeldovich solution. We study how these models are affected by small anisotropies within the BIX potential. For the spherical collapse case, we found that the model is equivalent to a closed FLRW Universe filled with matter and two perfect fluids representing the anisotropic contributions. From the linear evolution up to the turnaround, the an
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Orlando, Giorgio, P. Daniel Meerburg та Subodh P. Patil. "Primordial tensor bispectra in μ-CMB cross-correlations". Journal of Cosmology and Astroparticle Physics 2022, № 02 (2022): 004. http://dx.doi.org/10.1088/1475-7516/2022/02/004.

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Abstract Cross-correlations between Cosmic Microwave Background (CMB) temperature and polarization anisotropies and μ-spectral distortions have been considered to measure (squeezed) primordial scalar bispectra in a range of scales inaccessible to primary CMB bispectra. In this work we address whether it is possible to constrain tensor non-Gaussianities with these cross-correlations. We find that only primordial tensor bispectra with statistical anisotropies leave distinct signatures, while isotropic tensor bispectra leave either vanishing or highly suppressed signatures. We discuss how the ang
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Fuentes-Monteverde, Juan Carlos C., Nilamoni Nath, Abel M. Forero, et al. "Connection of Isolated Stereoclusters by Combining 13C-RCSA, RDC, and J-Based Configurational Analyses and Structural Revision of a Tetraprenyltoluquinol Chromane Meroterpenoid from Sargassum muticum." Marine Drugs 20, no. 7 (2022): 462. http://dx.doi.org/10.3390/md20070462.

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The seaweed Sargassum muticum, collected on the southern coast of Galicia, yielded a tetraprenyltoluquinol chromane meroditerpene compound known as 1b, whose structure is revised. The relative configuration of 1b was determined by J-based configurational methodology combined with an iJ/DP4 statistical analysis and further confirmed by measuring two anisotropic properties: carbon residual chemical shift anisotropies (13C-RCSAs) and one-bond 1H-13C residual dipolar couplings (1DCH-RDCs). The absolute configuration of 1b was deduced by ECD/OR/TD-DFT methods and established as 3R,7S,11R.
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48

Wang, Xun, Matthias Merkel, Leo B. Sutter, Gonca Erdemci-Tandogan, M. Lisa Manning, and Karen E. Kasza. "Anisotropy links cell shapes to tissue flow during convergent extension." Proceedings of the National Academy of Sciences 117, no. 24 (2020): 13541–51. http://dx.doi.org/10.1073/pnas.1916418117.

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Within developing embryos, tissues flow and reorganize dramatically on timescales as short as minutes. This includes epithelial tissues, which often narrow and elongate in convergent extension movements due to anisotropies in external forces or in internal cell-generated forces. However, the mechanisms that allow or prevent tissue reorganization, especially in the presence of strongly anisotropic forces, remain unclear. We study this question in the converging and extendingDrosophilagermband epithelium, which displays planar-polarized myosin II and experiences anisotropic forces from neighbori
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49

Adams, Robert A. "Anisotropic Sobolev inequalities." Časopis pro pěstování matematiky 113, no. 3 (1988): 267–79. http://dx.doi.org/10.21136/cpm.1988.108786.

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50

Dhanasekaran, M. R., Sarit Kumar Das, and S. P. Venkateshan. "Natural Convection in a Cylindrical Enclosure Filled With Heat Generating Anisotropic Porous Medium." Journal of Heat Transfer 124, no. 1 (2001): 203–7. http://dx.doi.org/10.1115/1.1418700.

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A numerical study has been made to analyze the effects of anisotropic permeability and thermal diffusivity on natural convection in a heat generating porous medium contained in a vertical cylindrical enclosure with isothermal wall and the top and bottom perfectly insulated surfaces. The results show that the anisotropies influence the flow field and heat transfer rate significantly. The non-dimensional maximum cavity temperature increases with increase in permeability ratio. For aspect ratio greater than or equal to two, the nondimensional maximum cavity temperature increases with an increase
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