Relevant bibliographies by topics / Geometric Transport

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Geometric Transport'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

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Journal articles on the topic "Geometric Transport"

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BINI, DONATO, CHRISTIAN CHERUBINI, GIANLUCA CRUCIANI, and ROBERT T. JANTZEN. "GEOMETRIC TRANSPORT ALONG CIRCULAR ORBITS IN STATIONARY AXISYMMETRIC SPACETIMES." International Journal of Modern Physics D 13, no. 09 (October 2004): 1771–803. http://dx.doi.org/10.1142/s0218271804005237.

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Parallel transport along circular orbits in orthogonally transitive stationary axisymmetric spacetimes is described explicitly relative to Lie transport in terms of the electric and magnetic parts of the induced connection. The influence of both the gravito-electromagnetic fields associated with the zero angular momentum observers and of the Frenet–Serret parameters of these orbits as a function of their angular velocity is seen on the behavior of parallel transport through its representation as a parameter-dependent Lorentz transformation between these two inner-product preserving transports which is generated by the induced connection. This extends the analysis of parallel transport in the equatorial plane of the Kerr spacetime to the entire spacetime outside the black hole horizon, and helps give an intuitive picture of how competing "central attraction forces" and centripetal accelerations contribute with gravitomagnetic effects to explain the behavior of the 4-acceleration of circular orbits in that spacetime.
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Mehrafarin, Mohammad, and Reza Torabi. "Geometric aspects of phonon polarization transport." Physics Letters A 373, no. 25 (June 2009): 2114–16. http://dx.doi.org/10.1016/j.physleta.2009.04.041.

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Rau, Jochen. "Geometric magnetism in classical transport theory." Physical Review E 56, no. 2 (August 1, 1997): R1295—R1298. http://dx.doi.org/10.1103/physreve.56.r1295.

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Sil, Gourab, Avijit Maji, Suresh Nama, and Akhilesh Kumar Maurya. "OPERATING SPEED PREDICTION MODEL AS A TOOL FOR CONSISTENCY BASED GEOMETRIC DESIGN OF FOUR-LANE DIVIDED HIGHWAYS." Transport 34, no. 4 (July 17, 2019): 425–36. http://dx.doi.org/10.3846/transport.2019.10715.

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Researchers have studied two-lane rural highways to predict the operating speed on horizontal curves and correlated it with safety. However, the driving characteristics of four-lane-divided highways are different. Weak lane discipline is observed in these facilities, which influences vehicle speed in adjacent lane or space. So, irrespective of its lane or lateral position, vehicles in four-lane divided highways are considered free flowing only when it maintains the minimum threshold headway from any lead vehicle. Examination of two conditions is proposed to ensure the free flow. Vehicles meeting both conditions, when tracked from the preceding tangent section till the centre of the horizontal curve, are considered as free flowing. The speed data of such free flowing passenger cars at the centre of eighteen horizontal curves on four-lane divided highways is analysed to develop a linear operating speed prediction model. The developed model depends on curve radius and preceding tangent length. The operating speed of passenger car in four-lane divided highways is influenced by horizontal curve of radius 360 m or less. Further, longer tangent would yield higher operating speed at the centre of the curve. Finally, two nomograms are suggested for conventional design, consistency based design and geometric design consistency evaluation of four-lane divided horizontal curves.
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Abercrombie, Ronald F., and James E. Moore. "Ca Chelators and Membrane Transport: “Geometric” Considerations." Open Enzyme Inhibition Journal 1, no. 1 (April 7, 2008): 1–4. http://dx.doi.org/10.2174/1874940200801010001.

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Léger, Flavien. "A Geometric Perspective on Regularized Optimal Transport." Journal of Dynamics and Differential Equations 31, no. 4 (July 2, 2018): 1777–91. http://dx.doi.org/10.1007/s10884-018-9684-9.

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Dontsov, I. E. "Storage of Geometric Data." World of Transport and Transportation 17, no. 2 (September 13, 2019): 190–96. http://dx.doi.org/10.30932/1992-3252-2019-17-2-190-196.

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The implementation of railway digitalization programs is associated with development of information management systems and telecommunications, with enhancement of integrated automation of management and control systems.A new type of information system which is geographic information systems (GIS) is of interest as it is intended for decision-making in transport management and control systems. Besides, varioustraining simulators, that simulate movement of various objects and control procedures, have been widely implemented in civil aviation, on railways and in other modes of transport. The development of simulators is associated with development of visualization systems based on computer software.Respective operations are based on spatially distributed geometric information. The article depicts basic approaches to core methods of its storage and transmission via information networks.
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Rimkus, A. "OPTIMIZATION OF GEOMETRIC FORMS FOR URBAN TRANSPORT STOPS." Statyba 5, no. 2 (January 1999): 116–22. http://dx.doi.org/10.1080/13921525.1999.10531445.

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Li, Zuofeng, and Jeffrey F. Williamson. "Volume-based geometric modeling for radiation transport calculations." Medical Physics 19, no. 3 (May 1992): 667–77. http://dx.doi.org/10.1118/1.596810.

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Kirwin, William D., and Siye Wu. "Geometric Quantization, Parallel Transport and the Fourier Transform." Communications in Mathematical Physics 266, no. 3 (July 7, 2006): 577–94. http://dx.doi.org/10.1007/s00220-006-0043-z.

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Dissertations / Theses on the topic "Geometric Transport"

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Garcia, Ramos Aguilar Felipe. "Mass transport and geometric inequalities." Thesis, University of British Columbia, 2010. http://hdl.handle.net/2429/29637.

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In this thesis we will review some recent results of Optimal Mass Transportation emphasizing on the role of displacement interpolation and displacement convexity. We will show some of its recent applications, specially the ones by Bernard, and Agueh-Ghoussoub-Kang.
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Odell, Anders. "Quantum transport and geometric integration for molecular systems." Doctoral thesis, KTH, Tillämpad materialfysik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-26780.

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Molecular electronics is envisioned as a possible next step in device miniaturization. It is usually taken to mean the design and manufacturing of electronic devices and applications where organic molecules work as the fundamental functioning unit. It involves the measurement and manipulation of electronic response and transport in molecules attached to conducting leads. Organic molecules have the advantages over conventional solid state electronics of inherent small sizes, endless chemical diversity and ambient temperature low cost manufacturing. In this thesis we investigate the switching and conducting properties of photoswitching dithienylethene derivatives. Such molecules change their conformation in solution when acted upon by light. Photochromic molecules are attractive candidates for use in molecular electronics because of the switching between different states with different conducting properties. The possibility of optically controlling the conductance of the molecule attached to conducting leads may lead to new device implementations. The switching reaction is investigated with potential energy calculations for different values of the reaction coordinate between the closed and the open isomer. The electronic and atomic structure calculations are performed with Density Functional Theory (DFT). The potential energy barrier separating the open and closed isomer is investigated, as well as the nature of the excited states involved in the switching. The conducting properties of the molecule inserted between gold, silver and nickel leads is calculated within the Non Equilibrium Green Function theory (NEGF). The molecule is found to be a good conductor in both conformations, with the low-bias current for the closed one being about 20 times larger than that of the open in the case of gold contacts, and over 30 times larger in the case of silver contacts. For the Ni leads the current for the closed isomer is almost 40 times larger than that of the open. Importantly, the current-voltage characteristics away from the linear response is largely determined by molecular orbital re-hybridization in an electric field, in close analogy to what happens for Mn12 molecules. However in the case of dithienylethene attached to Au and Ag such a mechanism is effective also in conditions of strong electronic coupling to the electrodes. In reality these molecules are in constant motion, and the dynamical properties has to be considered. In this thesis such a line of work is initiated. In order to facilitate efficient and stable dynamical simulations of molecular systems the extended Lagrangian formulation of Born-Oppenheimer molecular dynamics have been implemented in two different codes. The extended Lagrangian framework enables the geometric integration of both the nuclear and electronic degrees of freedom. This provides highly efficient simulations that are stable and energy conserving even under incomplete and approximate self-consistent field (SCF) convergence. In the density functional theory code FreeON, different symplectic integrators up to the 6th order have been adapted and optimized. It is shown how the accuracy can be significantly improved compared to a conventional Verlet integration at the same level of computational cost, in particular for the case of very high accuracy requirements. Geometric integration schemes, including a weak dissipation to remove numerical noise, are developed and implemented in the self-consistent tight-binding code LATTE. We find that the inclusion of dissipation in the symplectic integration methods gives an efficient damping of numerical noise or perturbations that otherwise may accumulate from finite arithmetics in a perfect reversible dynamics. The modification of the integration breakes symplecticity and introduces a global energy drift. The systematic driftin energy and the broken symplecticity can be kept arbitrarily small without significant perturbations of the molecular trajectories.
QC 20101202
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Teo, Chi-yan Jeffrey. "Geometric phase and spin transport in quantum systems." Click to view the E-thesis via HKUTO, 2007. http://sunzi.lib.hku.hk/hkuto/record/B38226571.

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朱詩亮 and Shiliang Zhu. "Geometric phase and quantum transport in mesoscopic systems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B3014775X.

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Teo, Chi-yan Jeffrey, and 張智仁. "Geometric phase and spin transport in quantum systems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2007. http://hub.hku.hk/bib/B38226571.

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Zhu, Shiliang. "Geometric phase and quantum transport in mesoscopic systems." Hong Kong : University of Hong Kong, 2001. http://sunzi.lib.hku.hk/hkuto/record.jsp?B22956268.

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Carr, Andrew Newberry. "Geometric Extensions of Neural Processes." BYU ScholarsArchive, 2020. https://scholarsarchive.byu.edu/etd/8394.

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Neural Processes (NPs) are a class of regression models that learn a map from a set of input-output pairs to a distribution over functions. NPs are computationally tractable and provide a number of benefits over traditional nonlinear regression models. Despite these benefits, there are two main domains where NPs fail. This thesis is focused on presenting extensions of the Neural Process to these two areas. The first of these is the extension of Neural Processes graph and network data which we call Graph Neural Processes (GNP). A Graph Neural Process is defined as a Neural Process that operates on graph data. It takes spectral information from the graph Laplacian as inputs and then outputs a distribution over values. We demonstrate Graph Neural Processes in edge value imputation and discuss benefits and drawbacks of the method for other application areas. The second extension of Neural Processes comes in the fundamental training mechanism. NPs are traditionally trained using maximum likelihood, a probabilistic technique. We show that there are desirable classes of problems where NPs fail to learn. We also show that this drawback is solved by using approximations of the Wasserstein distance. We give experimental justification for our method and demonstrate its performance. These Wasserstein Neural Processes (WNPs) maintain the benefits of traditional NPs while being able to approximate new classes of function mappings.
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Naik, Shibabrat. "Geometric Approaches in Phase Space Transport and Partial Control of Escaping Dynamics." Diss., Virginia Tech, 2016. http://hdl.handle.net/10919/73364.

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This dissertation presents geometric approaches of understanding chaotic transport in phase space that is fundamental across many disciplines in physical sciences and engineering. This approach is based on analyzing phase space transport using boundaries and regions inside these boundaries in presence of perturbation. We present a geometric view of defining such boundaries and study the transport that occurs by crossing such phase space structures. The structure in two dimensional non-autonomous system is the codimension 1 stable and unstable manifolds associated with the hyperbolic fixed points. The manifolds separate regions with varied dynamical fates and their time evolution encodes how the initial conditions in a given region of phase space get transported to other regions. In the context of four dimensional autonomous systems, the corresponding structure is the stable and unstable manifolds of unstable periodic orbits which reside in the bottlenecks of energy surface. The total energy and the cylindrical (or tube) manifolds form the necessary and sufficient condition for global transport between regions of phase space. Furthermore, we adopt the geometric view to define escaping zones for avoiding transition/escape from a potential well using partial control. In this approach, the objective is two fold: finding the minimum control that is required for avoiding escape and obtaining discrete representation called disturbance of continuous noise that is present in physical sciences and engineering. In the former scenario, along with avoiding escape, the control is constrained to be smaller than the disturbance so that it can not exactly cancel out the disturbances.
Ph. D.
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Gumede, Sthembiso R. "Translocation of a polymer chain under geometric confinement." Thesis, Stellenbosch : Stellenbosch University, 2014. http://hdl.handle.net/10019.1/86630.

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Thesis (MSc)--Stellenbosch University, 2014.
ENGLISH ABSTRACT: The advent of the synthesis or manufacturing of controlled structures on submicron scales as well as experimental developments enabling the investigation of physics in speci c biological systems at extremely small length scales underlines the need for dealing with the statistical physics of small systems which are geometrically con ned. A typical example of a system for which physical questions can be answered by means of theoretical modelling is the virus, where polymer genetic material is encapsulated in a protein shell. In this project the role of con nement on polymer chains will be investigated. We investigate how the translocation of polymer from one region to another through a small opening depends on various electrolytic, polymer concentration and wall interaction conditions. This is an extension of the simple, purely entropic, picture in that the interaction terms enter the picture. We employ a variational scheme in deriving our results.
AFRIKAANSE OPSOMMING: Sowel die moontlikheid van beheerbare sintese of vervaardiging van strukture op sub-mikrometer lengteskale asook die koms van eksperimentele metodes vir die ondersoek van biologiese stelsels op baie klein lengteskale onderstreep hoe nodig dit is om die statiestiese sika van klein stelsels met geometriese beperkings te verstaan. 'n Tipiese voorbeeld waar teoretiese metodes vir siese vrae aangewend word is 'n virus, waar die polimeriese genetiese materiaal in 'n proteïen skil beweeg. In die huidge projek word die rol van 'n spesi eke geometriese beperking op polimeerkettings ondersoek. Ons ondersoek hoe die oorplasing van 'n polimeer deur 'n klein opening van een gebied na die ander deur verskillende elektrolietiese, polimeer-konsentrasie en wandinteraksie eienskappe afhang. Dit is 'n uitbreiding van die eenvoudige, volledig entropiese beeld vir oorplasing deurdat wisselwerkings ingesluit word. 'n Variasiebeginsel word aangewend om die resultate af te lei.
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Gregory, Simon. "The geometric correction and registration of airborne line-scanned imagery for temporal thermal studies." Thesis, Aston University, 2001. http://publications.aston.ac.uk/14142/.

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This thesis begins by providing a review of techniques for interpreting the thermal response at the earth's surface acquired using remote sensing technology. Historic limitations in the precision with which imagery acquired from airborne platforms can be geometrically corrected and co-registered has meant that relatively little work has been carried out examining the diurnal variation of surface temperature over wide regions. Although emerging remote sensing systems provide the potential to register temporal image data within satisfactory levels of accuracy, this technology is still not widely available and does not address the issue of historic data sets which cannot be rectified using conventional parametric approaches. In overcoming these problems, the second part of this thesis describes the development of an alternative approach for rectifying airborne line-scanned imagery. The underlying assumption that scan lines within the imagery are straight greatly reduces the number of ground control points required to describe the image geometry. Furthermore, the use of pattern matching procedures to identify geometric disparities between raw line-scanned imagery and corresponding aerial photography enables the correction procedure to be almost fully automated. By reconstructing the raw image data on a truly line-by-line basis, it is possible to register the airborne line-scanned imagery to the aerial photography with an average accuracy of better than one pixel. Providing corresponding aerial photography is available, this approach can be applied in the absence of platform altitude information allowing multi-temporal data sets to be corrected and registered.
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Books on the topic "Geometric Transport"

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1970-, Bal Guillaume, and International Workshop on Inverse Transport Theory and Tomography (2009 : Banff, Alta.), eds. Tomography and inverse transport theory: International Workshop on Mathematical Methods in Emerging Modalities of Medical Imaging, October 25-30, 2009, Banff, Canada : International Workshop on Inverse Transport Theory and Tomography, May 16-21, 2010, Banff, Canada. Providence, R.I: American Mathematical Society, 2011.

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Optimal transport: Old and new. Berlin: Springer, 2009.

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Yuhno, Natal'ya. Mathematics. ru: INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1002604.

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The textbook presents: theoretical material, solved multi-level tasks on topics and practical exercises, test tasks, theoretical questions that form the communicative competence of students in independent work. Meets the requirements of the federal state educational standards of secondary vocational education of the latest generation. It is intended for studying theoretical material and performing independent work in mathematics within the framework of the mandatory hours provided for by the work programs in the discipline PD. 01 "Mathematics: algebra, the beginning of mathematical analysis, geometry" for students of the specialties 23.02.03 "Maintenance and repair of motor transport", 13.02.11"Technical operation and maintenance of electrical and electromechanical equipment (by industry)".
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Sub-Riemannian Geometry and Optimal Transport. Springer, 2014.

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Tiwari, Sandip. Nanoscale transistors. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198759874.003.0002.

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This chapter brings together the physical underpinnings of field-effect transistors operating in their nanoscale limits. It tackles the change in dominant behavior from scattering-limited long-channel transport to mesoscopic and few scattering events limits in quantized channels. It looks at electrostatics and a transistor’s controllability as dimensions are shrunk—the interplay of geometry and control—and then brings out the operational characteristics in “off”-state, e.g., the detailed nature of insulator’s implications or threshold voltage’s statistical variations grounded in short-range and long-range effects, and “on”-state, where quantization, quantized channels, ballistic transport and limited scattering are important. It also explores the physical behavior for zero bandgap and monoatomic layer materials by focusing on real-space and reciprocal-space funneling as one of the important dimensional change consequences through a discussion of parasitic resistances.
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Succi, Sauro. LBE Flows in Disordered Media. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0019.

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The study of transport phenomena in disordered media is a subject of wide interdisciplinary concern, with many applications in fluid mechanics, condensed matter, life and environmental sciences as well. Flows through grossly irregular (porous) media is a specific fluid mechanical application of great practical value in applied science and engineering. It is arguably also one of the applications of choice of the LBE methods. The dual field–particle character of LBE shines brightly here: the particle-like nature of LBE (populations move along straight particle trajectories) permits a transparent treatment of grossly irregular geometries in terms of elementary mechanical events, such as mirror and bounce-back reflections. These assets were quickly recognized by researchers in the field, and still make of LBE (and eventually LGCA) an excellent numerical tool for flows in porous media, as it shall be discussed in this Chapter.
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Succi, Sauro. Flows at Moderate Reynolds Numbers. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0018.

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This chapter presents the application of LBE to flows at moderate Reynolds numbers, typically hundreds to thousands. This is an important area of theoretical and applied fluid mechanics, one that relates, for instance, to the onset of nonlinear instabilities and their effects on the transport properties of the unsteady flow configuration. The regime of Reynolds numbers at which these instabilities take place is usually not very high, of the order of thousands, hence basically within reach of present day computer capabilities. Nonetheless, following the full evolution of these transitional flows requires very long-time integrations with short time-steps, which command substantial computational power. Therefore, efficient numerical methods are in great demand. Also of major interest are steady-state or pulsatile flows at moderate Reynolds numbers in complex geometries, such as they occur, for instance, in hemodynamic applications. The application of LBE to such flows will also briefly be mentioned
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N, Tiwari S., and United States. National Aeronautics and Space Administration., eds. Aerodynamic shape optimization of a HSCT type configuration with improved surface definition: Progress report for the period ended June 30, 1994. Norfolk, VA: Old Dominion University Research Foundation, 1994.

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Book chapters on the topic "Geometric Transport"

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Torres Alvarez, Pol. "Geometric Effects in Complex Experiments." In Thermal Transport in Semiconductors, 137–50. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94983-3_7.

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Scovazzi, Guglielmo, and Alejandro López Ortega. "Algebraic Flux Correction and Geometric Conservation in ALE Computations." In Flux-Corrected Transport, 299–343. Dordrecht: Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-94-007-4038-9_9.

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Stern, Ady. "Geometric Phases in Mesoscopic Systems — From the Aharonov-Bohm Effect to Berry Phases." In Mesoscopic Electron Transport, 45–81. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8839-3_2.

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Lorenzi, Marco, and Xavier Pennec. "Discrete Ladders for Parallel Transport in Transformation Groups with an Affine Connection Structure." In Geometric Theory of Information, 243–71. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05317-2_9.

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Richter, Th, and R. Seiler. "Geometric Properties of Transport in Quantum Hall Systems." In Geometry and Quantum Physics, 275–310. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/3-540-46552-9_6.

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Weir, Graham J. "Geometric properties of two phase flow in geothermal reservoirs." In Mathematical Modeling for Flow and Transport Through Porous Media, 501–17. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-017-2199-8_4.

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Cencini, Massimo, Angelo Vulpiani, and Davide Vergni. "The Role of Chaos for Inert and Reacting Transport." In Geometric Structures of Phase Space in Multidimensional Chaos, 519–42. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2005. http://dx.doi.org/10.1002/0471712531.ch26.

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Honjo, Seiichiro, and Kunihiko Kaneko. "Structure of Resonances and Transport in Multidimensional Hamiltonian Dynamical Systems." In Geometric Structures of Phase Space in Multidimensional Chaos, 437–63. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2005. http://dx.doi.org/10.1002/0471712531.ch22.

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Brasco, Lorenzo, and Filippo Santambrogio. "A Note on Some Poincaré Inequalities on Convex Sets by Optimal Transport Methods." In Geometric Properties for Parabolic and Elliptic PDE's, 49–63. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41538-3_4.

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Leitner, David M. "Heat Transport in Molecules and Reaction Kinetics: The Role of Quantum Energy Flow and Localization." In Geometric Structures of Phase Space in Multidimensional Chaos, 205–56. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2005. http://dx.doi.org/10.1002/0471712531.ch16.

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Conference papers on the topic "Geometric Transport"

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De Winne, E., and P. De Winne. "Safety and geometric aspects of humps and road crossings." In URBAN TRANSPORT 2007. Southampton, UK: WIT Press, 2007. http://dx.doi.org/10.2495/ut070591.

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Hossein, S. Aftabi, and M. Arabani. "The relationship between urban accidents, traffic and geometric design in Tehran." In Urban Transport 2012. Southampton, UK: WIT Press, 2012. http://dx.doi.org/10.2495/ut120491.

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Szameit, Alexander, Felix Dreisow, Matthias Heinrich, Robert Keil, Stefan Nolte, Andreas Tünnermann, and Stefano Longhi. "Photonic Topological Crystals: Transport, Curvature, and Geometric Potential." In Quantum Electronics and Laser Science Conference. Washington, D.C.: OSA, 2010. http://dx.doi.org/10.1364/qels.2010.jtud9.

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Szameit, A., F. Dreisow, M. Heinrich, R. Keil, S. Nolte, A. Tünnermann, and S. Longhi. "Transport, curvature, and geometric potential in photonic topological crystals." In Frontiers in Optics. Washington, D.C.: OSA, 2010. http://dx.doi.org/10.1364/fio.2010.fthj1.

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Panta Pazos, Rube´n. "Behavior of a Sequence of Geometric Transformations for a Truncated Ellipsoid Geometry in Transport Theory." In 17th International Conference on Nuclear Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/icone17-75758.

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The neutron transport equation has been studied from different approaches, in order to solve different situations. The number of methods and computational techniques has increased recently. In this work we present the behavior of a sequence of geometric transformations evolving different transport problems in order to obtain solve a transport problem in a truncated ellipsoid geometry and subject to known boundary conditions. This scheme was depicted in 8, but now is solved for the different steps. First, it is considered a rectangle domain that consists of three regions, source, void and shield regions 5. Horseshoe domain: for that it is used the complex function: f:D→C,definedasf(z)=12ez+1ezwhereD=z∈C−0.5≤Re(z)≤0.5,−12π≤Im(z)≤12π(0.1) The geometry obtained is such that the source is at the focus of an ellipse, and the target coincides with the other focus. The boundary conditions are reflective in the left boundary and vacuum in the right boundary. Indeed, if the eccentricity is a number between 0,95 and 0,99, the distance between the source and the target ranges from 20 to 100 length units. The rotation around the symmetry axis of the horseshoe domain generates a truncated ellipsoid, such that a focus coincides with the source. In this work it is analyzed the flux in each step, giving numerical results obtained in a computer algebraic system. Applications: in nuclear medicine and others.
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Hajieghrary, Hadi, Dhanushka Kularatne, and M. Ani Hsieh. "Cooperative transport of a buoyant load: A differential geometric approach." In 2017 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2017. http://dx.doi.org/10.1109/iros.2017.8206033.

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Brandt, Sascha, Matthias Fischer, Maria Gerges, Claudius Jähn, and Jan Berssenbrügge. "Automatic Derivation of Geometric Properties of Components From 3D Polygon Models." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67528.

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To detect errors or find potential for improvement during the CAD-supported development of a complex technical system like modern industrial machines, the system’s virtual prototype can be examined in virtual reality (VR) in the context of virtual design reviews. Besides exploring the static shape of the examined system, observing the machines’ mechanics (e.g., motor-driven mechanisms) and transport routes for the material transport (e.g., via conveyor belts or chains, or rail-based transport systems) can play an equally important role in such a review. In practice it is often the case, that the relevant information about transport routes, or kinematic properties is either not consequently modeled in the CAD data or is lost during conversion processes. To significantly reduce the manual effort and costs for creating animations of the machines complex behavior with such limited input data for a design review, we present a set of algorithms to automatically determine geometrical properties of machine parts based only on their triangulated surfaces. The algorithms allow to detect the course of transport systems, the orientation of objects in 3d space, rotation axes of cylindrical objects and holes, the number of tooth of gears, as well as the tooth spacing of toothed racks. We implemented the algorithms in the VR system PADrend and applied them to animate virtual prototypes of real machines.
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Tarmaev, A. A., G. I. Petrov, and V. N. Filippov. "Modeling of the Dynamics of a Carriage Taking into Account the Geometric Nonlinearity of Displacements and Deformation." In Proceedings of the International Conference on Aviamechanical Engineering and Transport (AviaENT 2019). Paris, France: Atlantis Press, 2019. http://dx.doi.org/10.2991/aviaent-19.2019.62.

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Villeneuve-Faure, C., K. Makasheva, L. Boudou, and G. Teyssedre. "Handling Geometric Features in Nanoscale Characterization of Charge Injection and Transport in thin Dielectric Films." In 2018 IEEE 2nd International Conference on Dielectrics (ICD). IEEE, 2018. http://dx.doi.org/10.1109/icd.2018.8468409.

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Villeneuve-Faure, C., K. Makasheva, L. Boudou, and G. Teyssedre. "Handling Geometric Features in Nanoscale Characterization of Charge Injection and Transport in thin Dielectric Films." In 2018 IEEE 2nd International Conference on Dielectrics (ICD). IEEE, 2018. http://dx.doi.org/10.1109/icd.2018.8514698.

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Reports on the topic "Geometric Transport"

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T Donovan and L Tyburski. Geometric Representations in the Developmental Monte Carlo Transport Code MC21. Office of Scientific and Technical Information (OSTI), May 2006. http://dx.doi.org/10.2172/883303.

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Dittirich, W. Geometric Phase of a Transported Oscillator. Office of Scientific and Technical Information (OSTI), February 2004. http://dx.doi.org/10.2172/826782.

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Breuer, Kenneth. Transport Properties of Biofluids in Micromachined Geometrics. Fort Belvoir, VA: Defense Technical Information Center, February 2002. http://dx.doi.org/10.21236/ada400327.

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Heimbach, Craig R., Mark A. Oliver, and Michael B. Stanka. The Radiation Transport In Air-Over-Ground Geometry. Fort Belvoir, VA: Defense Technical Information Center, December 1995. http://dx.doi.org/10.21236/ada304550.

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Palmer, T., and D. Anistratov. Analysis of Curvilinear Geometry Characteristic-Based Particles Transport Discretizations. Office of Scientific and Technical Information (OSTI), April 2010. http://dx.doi.org/10.2172/1130011.

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Lewis, E. E. Variational nodal transport methods for hexagonal and three-dimensional geometries. Office of Scientific and Technical Information (OSTI), February 1992. http://dx.doi.org/10.2172/7152709.

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Wareing, T. A., and R. E. Alcouffe. An exponential discontinuous scheme for X-Y-Z geometry transport problems. Office of Scientific and Technical Information (OSTI), April 1996. http://dx.doi.org/10.2172/224949.

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Lewis, E. E. Variational nodal transport methods for hexagonal and three-dimensional geometries. Final report. Office of Scientific and Technical Information (OSTI), February 1992. http://dx.doi.org/10.2172/10187641.

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Bohon, Jennifer, John Smedley, and Kimberley Nichols. ElectroMon Geometry Considerations: Simulations of Electron Transport to a Diamond-Based Detector. Office of Scientific and Technical Information (OSTI), August 2020. http://dx.doi.org/10.2172/1645073.

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DeHart, M. D. A discrete ordinates approximation to the neutron transport equation applied to generalized geometries. Office of Scientific and Technical Information (OSTI), December 1992. http://dx.doi.org/10.2172/7178767.

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