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Academic literature on the topic 'Shadow wave functions'

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Published: 14 March 2023

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Journal articles on the topic "Shadow wave functions"

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Moroni, Savario, Luciano Reatto, and Stefano Fantoni. "Optimized shadow wave functions for liquid and solid4He." Czechoslovak Journal of Physics 46, S1 (January 1996): 281–82. http://dx.doi.org/10.1007/bf02569556.

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Krunić, Tanja, and Marko Nedeljkov. "Shadow wave solutions for a scalar two-flux conservation law with Rankine–Hugoniot deficit." Journal of Hyperbolic Differential Equations 18, no. 03 (September 2021): 539–56. http://dx.doi.org/10.1142/s021989162150017x.

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This paper deals with hyperbolic conservation laws exhibiting a flux discontinuity at the origin and which does not admit a weak solution satisfying the Rankine–Hugoniot jump condition. We therefore seek unbounded solutions in the form of shadow waves supported by at the origin. The shadow waves are defined as nets of piecewise constant functions approximating a shock wave to which we add a delta function and possibly another unbounded part.
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Pederiva, F., G. V. Chester, S. Fantoni, and L. Reatto. "Variational study of vacancies in solid4Hewith shadow wave functions." Physical Review B 56, no. 10 (September 1, 1997): 5909–17. http://dx.doi.org/10.1103/physrevb.56.5909.

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HEWETT, D. P. "Shadow boundary effects in hybrid numerical-asymptotic methods for high-frequency scattering." European Journal of Applied Mathematics 26, no. 5 (June 30, 2015): 773–93. http://dx.doi.org/10.1017/s0956792515000315.

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The hybrid numerical-asymptotic (HNA) approach aims to reduce the computational cost of conventional numerical methods for high-frequency wave scattering problems by enriching the numerical approximation space with oscillatory basis functions, chosen based on partial knowledge of the high-frequency solution asymptotics. In this paper, we propose a new methodology for the treatment of shadow boundary effects in HNA boundary element methods, using the classical geometrical theory of diffraction phase functions combined with mesh refinement. We develop our methodology in the context of scattering by a class of sound-soft non-convex polygons, presenting a rigorous numerical analysis (supported by numerical results) which proves the effectiveness of our HNA approximation space at high frequencies. Our analysis is based on a study of certain approximation properties of the Fresnel integral and related functions, which govern the shadow boundary behaviour.
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Moroni, S., D. E. Galli, S. Fantoni, and L. Reatto. "Variational theory of bulk4Hewith shadow wave functions: Ground state and the phonon-maxon-roton spectrum." Physical Review B 58, no. 2 (July 1, 1998): 909–24. http://dx.doi.org/10.1103/physrevb.58.909.

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Ciftja, O., S. Fantoni, and K. A. Gernoth. "Hypernetted-chain treatment and the extended shadow wave functions for fractional quantum Hall hierarchical states." Physical Review B 55, no. 20 (May 15, 1997): 13739–44. http://dx.doi.org/10.1103/physrevb.55.13739.

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Kaliberda, M., L. Lytvynenko, and S. Pogarsky. "AN OPERATOR METHOD FOR THE PROBLEM OF PLANE WAVE DIFFRACTION BY INFINITELY THIN, PERFECTLY CONDUCTING HALF-PLANE AND TWO DISKS." RADIO PHYSICS AND RADIO ASTRONOMY 27, no. 3 (2022): 167–80. http://dx.doi.org/10.15407/rpra27.03.167.

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Subject and Purpose. Considered in the paper is diffraction of a plane wave by a structure involving a half-plane and two disks. The disks and the half-plane, lying within parallel planes, are assumed to be infinitely thin and perfectly conducting. The problem is to be analyzed for two cases, namely for that of both disks located on the same side with respect to the half-plane, and for the other where they are placed on opposite sides against the half-plane. The purpose of the paper is to develop a suitable operator method for performing the analysis of the structure described. Methods and Methodology. The solution to the problem has been sought for within the operator method suggested. The electric field components tangential to the half-plane and the disks are expressed, with the aid of Fourier integrals, via some unknown functions having the sense of amplitudes. The unknown amplitudes shall obey the operator equations formulated in terms of wave scattering operators for individual disks and the sole half-plane. Results. When subjected to certain transformations, the operator equations allow obtaining integral equations relative amplitudes of the spherical waves involved. The integral equations permit investigating scattered wave fields for the cases where the disks stay in the shadow region behind the half-plane or in the penumbra, or else in the region which is illuminated by the incident wave. As has been shown, in the case of plane wave scattering at the edge of the half-plane the resulting cylindrical waves possess non-zero amplitudes even with the disks placed totally in the shadow region, hence not illuminated by the incident plane wave. Conclusions. Making use of an operator method, an original solution has been obtained for the problem of plane wave diffraction by a structure consisting of a perfectly conducting, infinitely thin half-plane and two disks. The operator equations of the problem have been shown to be reducible to integral equations, further solvable numerically with the use of discretization based on quadrature rules. The behavior of far and near fields relative to the disks has been studied for a variety of values of the disk radii and their positions relative to the half-plane.
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Calcavecchia, Francesco, and Thomas D. Kühne. "On fermionic shadow wave functions for strongly correlated multi-reference systems based on a single Slater determinant." EPL (Europhysics Letters) 110, no. 2 (April 1, 2015): 20011. http://dx.doi.org/10.1209/0295-5075/110/20011.

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Lu, Shiwei, Chuanbo Zhou, Zhen Zhang, Ling Ji, and Nan Jiang. "Theoretical study on dynamic responses of an unlined circular tunnel subjected to blasting P-waves." Journal of Mechanics 37 (2021): 242–52. http://dx.doi.org/10.1093/jom/ufaa029.

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Abstract In conventional studies, the blasting seismic wave is always treated as a time-harmonic wave, which is not suitable in some situations due to its short duration. In this paper, the blasting P-wave is simplified as a triangular impulse. The distribution functions of dynamic stress concentration factor (DSCF) and the radial and hoop vibration velocity scaling factors (RVSF and HVSF) around the circular tunnel are derived based on the Fourier–Bessel expansion method. Then, the effects of the rising duration, the total duration and Poisson's ratio on DSCF, RVSF and HVSF are discussed. Results show that (1) the maximum RVSF and HVSF are located at the incident side, and the location of the maximum DSCF will move from the incident side to the shadow side when the total duration increases; (2) the maximum DSCF increases with the increasing total duration, decreases with the increasing Poisson's ratio, but is immune to the ratio of the rising to total duration; (3) the maximum RVSF decreases with the increase of the total duration and the ratio of the rising to total duration, but increases with the increasing Poisson's ratio; (4) the maximum HVSF decreases with the increase of the total duration and the ratio of the rising to total duration, but is immune to Poisson's ratio; (5) the RVSF and HVSF under triangular impulses gradually change from less than those under time-harmonic waves to greater than those under time-harmonic waves with the increasing total duration, but the DSCF shows the opposite trend.
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POLLS, A., and A. FABROCINI. "A MICROSCOPIC LOOK AT LIQUID HELIUM: THE 3He IMPURITY CASE." International Journal of Modern Physics B 15, no. 10n11 (May 10, 2001): 1575–90. http://dx.doi.org/10.1142/s0217979201006069.

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The description of the properties of liquid Helium is a challenge for any microscopic many-body theory. In this context, we study the ground state and the excitation spectrum of one 3 He impurity in liquid 4 He at T=0 with the aim of illustrating the power of the correlated basis function formalism in describing heavily correlated systems. The strong interatomic interaction and the large density require the theory to be pushed to a high degree of sophistication. A many-body correlation operator containing explicit two- and three-particle correlation functions is needed to obtain a realistic ground state wave function, whereas a perturbative expansion including up to two phonon correlated states must be enforced to study the impurity excitation energies. The theory describes accurately the experimental spectrum along all the available momentum range. As empirically shown by the experiments, a marked deviation from the quadratic Landau-Pomeranchuck behavior is found and the momentum dependent effective mass of the impurity increases of ~50% at q~1.7 Å-1 with respect to its q=0 value. Although the main emphasis is given to the correlated basis function theory, we present also comparisons with other methods, as diffusion Monte Carlo, variational Monte Carlo with shadow wave functions and time dependent correlations.
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Dissertations / Theses on the topic "Shadow wave functions"

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Pedroso, Vinicius Zampronio 1989. "Descrição variacional de sistemas formados por átomos de 4He." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/276977.

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Orientador: Silvio Antonio Sachetto Vitiello
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Física Gleb Wataghin
Made available in DSpace on 2018-08-24T22:26:40Z (GMT). No. of bitstreams: 1 Pedroso_ViniciusZampronio_M.pdf: 1006322 bytes, checksum: a4558189ae209bae9a6212be5b0bd54f (MD5) Previous issue date: 2014
Resumo: We present a trial wave function to describe systems formed from 4He atoms. This function is able to describe the system in the liquid and solid phases, it is translationally invariant and satisfies the Bose-Einstein statistics. This wave function depends on a set of auxiliary variables integrated all over the space and favors the exchange between particles, mainly at higher densities where it is more important. We also calculated the equation of state and the pair distribution function of the liquid and solid phases of the system and results are in good agreement with the experimental data
Abstract: Apresentamos uma função de onda tentativa para descrever sistemas de átomos de 4He. Esta função é capaz de descrever o sistema nas fases sólida e liquida, é translacionalmente invariante e satisfaz a estatística de Bose-Einstein. A função proposta depende de um conjunto de variáveis auxiliares integradas em todo o espaço e favorece os processos de troca de partículas, principalmente para densidades mais altas onde ela é importante. Calculamos a equação de estado e a função de distribuição radial das fases liquida e sólida do sistema e obtivemos um ótimo acordo com dados experimentais
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Física
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Pedroso, Vitor Zamprônio 1990. "Condensação Bose-Einstein em sistemas de átomos de 4He." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/276964.

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Orientador: Silvio Antonio Sachetto Vitiello
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Física Gleb Wataghin
Made available in DSpace on 2018-08-26T08:38:32Z (GMT). No. of bitstreams: 1 Pedroso_VitorZampronio_M.pdf: 1351334 bytes, checksum: 9c35568e525b0eca7e7eb168eb22baa4 (MD5) Previous issue date: 2014
Resumo: Neste trabalho estudamos a condensação Bose-Einstein em sistemas formados por átomos de 4He. Para tanto, introduzimos uma nova função de onda sombra que permite o cálculo da fração de condensado do sistema a T = 0 K diretamente das configurações geradas no cálculo da energia variacional. A função proposta é construída através da integração sobre um conjunto de variáveis auxiliares que interagem com todos os átomos do sistema. Esta função é translacionalmente invariante mesmo na fase sólida e satisfaz a estatística de Bose-Einstein. Utilizando essa nova função de onda concluímos que aproximadamente 4% dos átomos estão no estado de menor energia e o sistema apresenta ordem de longo alcance fora da diagonal. Resultados de energia variacional e função de distribuição radial de pares também são apresentados. As integrais de configuração espaciais foram realizadas utilizando o método de Monte Carlo
Abstract: We study the Bose-Einstein condensation in systems formed by 4He atoms. To this end, we introduce a new shadow wave function that enables the calculation of the condensate fraction of the system at T = 0 K directly from the configurations generated in the calculation of the variational energy. The proposed function is constructed by an integration over a set of auxiliary variables that interact with all the atoms of the system. This function is translationally invariant even in the solid phase and satisfies the Bose- Einstein statistics. Using this new wave function we conclude that approximately 4% of the atoms are in the lowest energy state and the system displays off-diagonal long ranged order. Results from variational energy and pair distribution function are also presented. The configuration integrations were performed using the Monte Carlo method
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Física
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Devkota, Bishnu Hari. "A new Lagrangian model for the dynamics and transport of river and shallow water flows." University of Western Australia. Centre for Water Research, 2005. http://theses.library.uwa.edu.au/adt-WU2005.0108.

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This study presents a new Lagrangian model for predicting dynamics and transport in rivers and shallow water flows. A hydrostatic model is developed for the prediction of rivers and floodplain flow and lateral interactions between them. The model is extended to the Boussinesq weakly non-linear, non-hydrostatic model for the simulation of solitary waves and undular bores. A model for advection-diffusion transport of tracers in open channel flow is also presented. The simulation results are compared against an analytical solution and published laboratory data, field data and theoretical results. It is demonstrated that the Lagrangian moving grid eliminates numerical diffusion and oscillations; the model is dynamically adaptive, providing higher resolution under the wave by compressing the parcels (grid). It also allows flow over dry beds and moving boundaries to be handled efficiently. The hydrostatic model results have shown that the model accurately simulates wave propagation and non-linear steepening until wave breaking. The model is successfully applied to simulate flow and lateral interactions in a compound channel and flood wave movement in a natural river. The non-hydrostatic model has successfully reproduced the general features of solitary waves such as the balance between non-linearity and wave dispersion and non-linear interactions of two solitary waves by phase-shift. Also, the model successfully reproduced undular bores (high frequency short waves) from a long wave and the predicted maximum height of the leading wave agreed very well with the published results. It is shown that the simple second order accurate Lagrangian scheme efficiently simulates dispersive waves without any numerical diffusion. Lagrangian modeling of advection-diffusion transport of Gaussian tracer distributions, top hat tracer distributions and steep fronts (step function) in steady, uniform flow has provided exact results and has shown that the scheme allows the use of a large time step without any numerical diffusion and oscillations, including for the advection of steep fronts. The scheme can handle large Courant numbers (results are presented for Cr = 0 to 20) and the entire range of grid Peclet numbers from zero to infinity. The model is successfully applied to tracer transport due to flow induced by simple waves, solitary waves and undular bores
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Books on the topic "Shadow wave functions"

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Whitlock, Paula A. Green's function Monte Carlo calculations for 4He using the shadow wave function as importance function. Ithaca, N.Y: Cornell Theory Center, Cornell University, 1990.

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Wu, W. Excited states in 4He described by a shadow wave function: Rotons and vortices. Ithaca, N.Y: Cornell Theory Center, Cornell University, 1990.

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Lutsenko, V. I., I. V. Lutsenko, D. O. Popov, and I. V. Popov. Remote sensing of the environment using the radiation of existing ground and space radio systems. PH “Akademperiodyka”, 2020. http://dx.doi.org/10.15407/akademperiodyka.429.345.

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Possibilities of using existing ground (TV centers, broadcasting stations) and space (global navigation satellite systems) radio systems for solving the problem of remote sensing and monitoring of the environment and objects in it are considered. The methods of diagnostics of the troposphere, description of the refractive index with the use of semi-Markov processes and atomic functions of Kravchenko-Rvacheva are proposed. The seasonal and altitudinal dependencies of radio-meteorological parameters and radio-climatic features of Ukraine were studied. Technologies for determining the effective gradient of the refractive index by damping factor of the VHF signals of television centers on the OTH routes in the zone of the near geometric shadow, on the angles of radioa "rise" and "sets" of the AES, detection of precipitation zones by the fluctuations of the pseudoranges and changes of the coordinates estimates, parameters of the surface of the earth by the fluctuations of the GNSS signals. Reviewers: Head of the Department of Radio waves propagation in the natural environments of the O. Ya. Usikov Institute for Radiophysics and Electronics NASU, Doctor of Physical and Mathematical Sciences, Professor Kivva F.V., Professor of the Department of Designing Radioelectronic Devices of Aircraft of the National Aerospace University. M.E. Zhukovsky (KhAI), Doctor of Technical Sciences, Professor Volosyuk V.K.
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Book chapters on the topic "Shadow wave functions"

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Ferrante, A., M. Bernasconi, X. Q. G. Wang, S. Fantoni, and E. Tosatti. "HNC Theory for Shadow Wave Functions." In Recent Progress in Many-Body Theories, 233–44. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3466-2_16.

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Reatto, L. "On Shadow Wave Functions for Condensed Phases of Helium." In Recent Progress in Many-Body Theories, 221–31. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3466-2_15.

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Muzafarova, Marina V., I. V. Ilyin, E. N. Mokhov, P. G. Baranov, B. Ya Ber, A. N. Ionov, P. S. Kop'ev, M. A. Kaliteevskii, O. N. Godisov, and A. K. Kaliteevskii. "Probing of the Wave Function of Shallow Donors and Acceptors by EPR in SiC Crystals with Changed Isotopic Composition." In Materials Science Forum, 507–10. Stafa: Trans Tech Publications Ltd., 2005. http://dx.doi.org/10.4028/0-87849-963-6.507.

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Knee, Adam. "Training the Body Politic: Networked Masculinity and the ‘War on Terror’ in Hollywood Film." In American Cinema in the Shadow of 9/11. Edinburgh University Press, 2016. http://dx.doi.org/10.3366/edinburgh/9781474413817.003.0008.

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Adam Knee continues this discussion of the action/adventure genre in Chapter Seven, "Training the Body Politic: Networked Masculinity and the 'War on Terror' in Hollywood Film", offering a detailed analysis of the representation of masculinity and agency in two Hollywood films, Unstoppable (2010) and Source Code (2011), which exhibit striking similarities at a range of levels, from their narratives to deeper structures of gendered character function, theme, and geo-political perspective that, he contends, are a manifestation of distinctly post-9/11 American concerns. Like Vincent M. Gaine's chapter on James Bond, Knee analyses both the variations inherent in the genre in the wake of 9/11 and the consistencies of the parameters of American mainstream film, and, more specifically, a developing conceptualization of modes of disciplined masculinity necessitated by the nation’s 'War on Terror' narrative. Knee then concludes with a comparative analysis of a pre-9/11 film and its post-9/11 remake in which these parameters are brought to the fore: the original Paul Verhoeven RoboCop (1987) and RoboCop (2014) directed by José Padilha.
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Speed*, Robert C., and Hai Cheng†. "Marine terrace evolution of windward Barbados." In Emergence and Evolution of Barbados, 1–20. Geological Society of America, 2021. http://dx.doi.org/10.1130/2021.2549(01).

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ABSTRACT The geomorphic evolution of southeastern windward Barbados is embodied in the development of a terraced seaward island slope on a tectonically rising scarp. The island slope is wholly erosional and a product of marine and subaerial processes. Modulation of the slope by terraces has occurred fundamentally by marine erosion at eustatic stillstands but includes morphologic additions by limestone deposition. The ongoing phase of morphologic development and island emergence began at or before ca. 700 ka. Emergence has proceeded at an increasing rate northwestward along the island’s southeastern coastline. The terraced island slope is markedly affected by post-terrace denudation. As many as eight marine terraces are preserved on the windward island slope below the planed surface of the Central Highlands, which is counted as terrace 1. Relics of an upper set of terraces are perched on the face of Second High Cliff, the ancient erosional margin of the oldest limestone capping Barbados. Second High Cliff developed by successive marine incisions over a probably long duration preceding oxygen isotope stage 9. A lower terrace set was excised in stages 9 through 5a in the siliciclastic island foundation or (and) in limestone cover of preceding terraces. Marine terrace floors extend seaward from an erosional backcliff and shoreline angle to a younger erosional cutoff. The most broadly preserved terrace floors indicate the following systematic succession of seaward profile elements: narrow upper ramp; broad upper flat; lower ramp; and on one, a lower flat. Carbonate cover is chiefly clastic on the upper ramp and flat, and chiefly reefal on the lower ramp. Most shoal-water reefal facies appear to be in fringe reef blankets. Terrace profile geometries are explained by a simple theory of wave abrasion in proportion to duration of sea level at a shoreline. At stillstands, the wave impact caused large shoreline recession and development of flats, whereas in transgression and regression, rapid sea-level change permitted only minor recession. Corresponding differences in cover facies are explained as functions of duration of breaking waves and seabed stability. Widespread post-terrace denudation is attributed to floods of upland provenance, local overland flow, and marine flooding. Riverine processes have produced channelization and a high degree of terrace preservation on the interfluves in the steeper, foundation-based northern windward region. This differs markedly from the more diffuse, shallow gullying and stripping of the limestone-covered shallow slopes of the southern region. An intensely stormy spell is suggested between stages 5e and 5c.
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J. F. Goreau, Thomas. "Perspective Chapter: Electric Reefs Enhance Coral Climate Change Adaptation." In Corals - Habitat Formers From the Shallow to the Deep [Working Title]. IntechOpen, 2022. http://dx.doi.org/10.5772/intechopen.107273.

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Survival of coral reefs from globally rising temperature, sea level, and pollution requires new regeneration methods that greatly increase coral growth rates, survival, and resistance to accelerating extreme environmental stresses. Electric (“Biorock”) limestone reefs can be grown in any size or shape, get stronger with age, grow back if damaged, and increase settlement, growth, survival, and stress resistance of all marine organisms examined. Electrified corals survive repeated severe bleaching events when over 90% of corals on nearby reefs die. Electric reefs are open mesh frameworks with more vertical levels of holes and surfaces than natural reefs, which can be grown in places where natural reefs cannot grow due to lack of substrate or unsuitable physical and chemical conditions. They strongly enhance reef physical structure, wave absorption, ecological function, biodiversity, productivity, and habitat and ecosystem services including shore protection, sand generation, and fisheries habitat, even at severely degraded sites where no natural regeneration takes place. Electric reefs, optimized for local needs, provide superior cost-effective options for shore protection, conservation, sustainable mariculture, and regeneration of coastal ecosystems that grow to keep pace with sea level rise. They will provide an essential tool to develop sustainable “Blue Economies.”
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Caradonna, Jeremy L. "Eco-Nomics." In Sustainability. Oxford University Press, 2014. http://dx.doi.org/10.1093/oso/9780199372409.003.0008.

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The environmental movement of the 1960s and 1970s overshadows a second, less heralded intellectual development that took place at the exact same time: the birth of “ecological economics.” A cluster of nonconforming economists in this period drew on the fledgling science of ecology to rethink many of the assumptions of neoclassical economics, with its “growthmania,” general indifference toward pollution and ecosystem destruction, and dogmatic belief that “tastes and preferences” are innate in humans rather than culturally shaped. What emerged was a new school of thought that integrated ecological concerns into an essentially capitalist economic framework. These iconoclasts brought together the dual nature of the Greek word “oikos” (literally: household), which is the etymological root of both “economics” and “ecology.” They asserted that the human “household” could not exist without a healthy and functional natural environment. This has become the essential insight of economic sustainability—the second “E” of sustainability: that the world needs economic systems that exist harmoniously with nature (and which promote social equality and justice). Those who practice the economics of sustainability in the present day— William E. Rees, Mathis Wackernagel, Peter Victor, Tim Jackson, Richard Heinberg, and many others—are the heirs of these early critics who challenged the hegemony of business-as-usual economics. First-wave ecological economics shares the readability of the classic environmental works discussed in the previous chapter. The main authors associated with ecological economics—E. J. Mishan, E. F. Schumacher, Kenneth Boulding, Howard T. Odum, Nicholas Georgescu-Roegen, Herman Daly, Amory Lovins, and the members of the shadowy-sounding Club of Rome—went out of their way to write nontechnical books that were meant to appeal to the average-educated reader. Collectively, these authors ask deep and penetrating philosophical questions: What is the point of endless economic growth? What are the environmental costs of a wasteful and fossil-fuel-addicted consumer society? What is the best way to measure the well-being of a society? What is the role of economics in ensuring that human society remains within its ecological limits and avoids overshoot and collapse? How can nature, society, and the economy be studied as a single system?
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Conference papers on the topic "Shadow wave functions"

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Operetto, Francesco, and Francesco Pederiva. "Study Of Structural Effects Of Vacancies In Solid p-H2 With Shadow Wave Functions." In LOW TEMPERATURE PHYSICS: 24th International Conference on Low Temperature Physics - LT24. AIP, 2006. http://dx.doi.org/10.1063/1.2354739.

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Ma, Rujian, Guixi Li, Dong Zhao, and Jungang Wang. "Experimental Study of Wave Forces on Vertical Cylinders in Shallow Waters." In ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2007. http://dx.doi.org/10.1115/omae2007-29069.

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An experimental study of wave forces on the vertical cylinders in shallow waters was carried out in a wave channel. The wave parameters, wave forces and wave pressures are measured and studied in the paper. The study indicates that the distribution of wave pressures of the shallow water waves can be described by an exponential function with respect to water depth. The maximum surface elevation for shallow water waves can be estimated using the significant wave height. The wave pressure around circumference can be expressed as a simple form of cosine function. An experimental formula for the calculation of wave forces on vertical cylinders is proposed. As compared with test data, the predicted wave forces showed good agreement and high reliability. The calculated wave forces by different wave theories are less than those of the proposed method. Therefore, the wave force calculation method for shallow water waves should be modified for engneering applications.
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Dandrea, Lucia, and Francesco Pederiva. "A Shadow Wave Function For The Two-Dimensional Electron Gas." In LOW TEMPERATURE PHYSICS: 24th International Conference on Low Temperature Physics - LT24. AIP, 2006. http://dx.doi.org/10.1063/1.2355211.

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Feng, Qin, and Richard Large. "Prediction of Fatigue Life of Shallow Water Offshore Platforms Using Spectral Fatigue Analysis Method." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20796.

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Spectral fatigue analysis approach is highly recommended for fixed offshore platform design and reassessment by API. This method is a computationally efficient method, being able to handle the random nature of environmental ocean wave conditions during calculating wave loads on the offshore platforms and subsequent structural responses. However, its fundamental theory is based on the assumption of linearity of both structural system and wave loading mechanism. Although this method is critically appropriate to be applied in offshore platform design and fatigue assessment for deep water scenarios where wave and force nonlinearities are not very severe, it has still been widely utilized for the design and assessment of shallow water platforms in offshore industry without carefully considering possible errors caused by strong nonlinear factors between ocean waves and forces. The source giving rise to the errors is because of the difficulties in choosing suitably correct wave heights for a series of wave periods required for producing transfer functions between sea state spectra and structural response spectra. Therefore, the studies to justify the possible errors of the spectral fatigue analysis method for shallow water platforms have been provoked. This paper presents the results of the studies of investigating the errors from currently existing spectral fatigue analysis method. A new technical approach that can reduce the errors in the spectral fatigue analysis of shallow water platforms is introduced. The proposed technical approach is mainly focused on producing realistic transfer functions between sea state spectra and structural response spectra, which can reasonably reflect the individually local sea state data by using wave height-period joint probability density function. Hence the fatigue damage and life at the tubular joints of offshore platforms can be more precisely predicted. The spectral fatigue analysis of a practical shallow water jacket platform in the recent platform design project has been performed using the proposed approach and the results are discussed.
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Mattocks, Bruce, Kristof De Meersman, and Steven L. Roche. "Shallow shear-wave splitting analysis using receiver functions." In SEG Technical Program Expanded Abstracts 2013. Society of Exploration Geophysicists, 2013. http://dx.doi.org/10.1190/segam2013-0920.1.

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6

Brühl, Markus, and Hocine Oumeraci. "Analysis of Propagation of Long Waves in Shallow Water Using the KdV-Based Nonlinear Fourier Transform (KdV-NLFT)." In ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-24165.

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Hydraulic model tests and numerical simulations show that long sinusoidal waves that are generated in very shallow waters are not stable but show modifications of the free surface as function of propagation in time and space. First, with increasing distance from the wave maker the wave becomes asymmetric and develops into a bore-shaped wave. Second, with further increasing distance more and more additional wave crests appear from the front of the bore (undular bore). The shallower the water depth, the more additional wave components can be observed. In extremely shallow water, the periodic sine waves completely disintegrate into periodic trains of solitons. At Leichtweiss-Institute for Hydraulic Engineering and Water Resources (LWI), TU Braunschweig, a nonlinear Fourier transform based on the Korteweg-deVries equation (KdV-NLFT) is implemented and successfully applied in Brühl [1] that provides an explanation for this nonlinear phenomenon and allows the prediction of the dispersion and propagation of long sinusoidal waves in shallow water.
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7

Yan, S., Q. W. Ma, Jinghua Wang, and Juntao Zhou. "Self-Adaptive Wave Absorbing Technique for Nonlinear Shallow Water Waves." In ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/omae2016-54475.

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A key challenge in long-duration modelling of ocean waves or wave-structure interactions in numerical wave tanks (NWT) is how to effectively absorb undesirable waves on the boundaries of the wave tanks. The self-adaptive wavemaker theory is one technique developed for this purpose. However, it was derived based on the linear wavemaker theory, in which the free surface elevation and the motion of the wavemaker are assumed to be approximately zero. Numerical investigations using the fully nonlinear potential theory based Quasi Arbitrary Lagrangian Eulerian Finite Element Method (QALE-FEM) suggested that its efficiency is relatively lower when dealing with nonlinear waves, especially for shallow water waves due to three typical issues associated with the wave nonlinearity including (1) significant wavemaker motion for extreme waves; (2) the mean wave elevation (i.e. the component corresponding to zero frequency), leading to a constant velocity component, thus a significant slow shift of the wavemaker; (3) the nonlinear components, especially high-order harmonics, may significantly influence the wavemaker transfer functions. The paper presents a new approach to numerically implement the existing self-adaptive wavemaker theory and focuses on its application on the open boundary, where all incident waves are expected to be fully absorbed. The approach is implemented by the NWT based on the QALE-FEM method. A systematic numerical investigation on uni-directional waves is carried out, following the corresponding validation through comparing the numerical prediction with experimental data for highly nonlinear shallow water waves.
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Azimirad, M., A. R. M. Gharabaghi, and M. R. Chenaghlou. "Deterministic-Spectral Fatigue Analysis of a Typical Jacket Platform (SPD1) Using Directional Wave Spectrum." In ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2007. http://dx.doi.org/10.1115/omae2007-29418.

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Fixed offshore platforms or Jacket type platforms are the most common offshore structures used for oil & gas Exploration & Production industry in Persian Gulf, because water depth is such that the shallow water condition is dominant. Sea waves as dominant environmental loading are cyclic and have random nature. The applied cyclic sea wave forces will lead to fatigue damages in jacket’s joints. There are different methods to investigate the fatigue life of jackets such as deterministic method, simplified method, spectral method and transient method. Spectral method is a suitable method, which can consider the random nature of sea waves in fatigue analysis. Deterministic-spectral method developed by Bishop et al. is used to estimate the fatigue life of shallow water jacket platforms. However, in this method the frequency spectrum of waves is used in the analysis, but generally sea waves are propagating in different directions with different frequencies, so directional wave spectrum can consider wave randomness more properly. In this paper, frequency domain spectral method using Deterministic-Spectral approach has been used to estimate the fatigue life of a typical jacket platform (SPD1 at South Pars Field - Persian Gulf). Base wave cases were chosen from joint histogram of height & period that is calculated based on scatter diagrams of South Pars Field. First the jacket was modeled by ANSYS software, then by applying base wave cases to it and analyzing the critical TT joint under internal cyclic forces, hot spot stress transfer functions at 8 nodes around the intersection of joint were obtained. Using JONSWAP standard spectrum and the spreading function proposed by Goda, sea state’s Power Spectral Densities (PSD) and directional spectrums are multiplied to obtain stress spectra. The fatigue damage and fatigue life then are calculated. Results indicate that the fatigue life based on frequency spectrum is less than the fatigue life based on directional spectrum.
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Scharnke, Jule, and Janou Hennig. "Statistical Analysis of a Set of Basin Waves." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49974.

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In a recent paper the effect of variations in calibrated wave parameters on wave crest and height distributions was analyzed (OMAE2010-20304, [1]). Theoretical distribution functions were compared to wave measurements with a variation in water depth, wave seed (group spectrum) and location of measurement for the same initial power spectrum. The wave crest distribution of the shallow water waves exceeded both second-order and Rayleigh distribution. Whereas, in intermediate water depth the measured crests followed the second order distribution. The distributions of the measured waves showed that different wave seeds result in the same wave height and crest distributions. Measured wave heights were lower closer to the wave maker. In this paper the results of the continued statistical analysis of basin waves are presented with focus on wave steepness and their influence on wave height and wave crest distributions. Furthermore, the sampling variability of the presented cases is assessed.
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Stansberg, Carl Trygve, and Trygve Kristiansen. "Experimental Study of Slow-Drift Ship Motions in Shallow Water Random Waves." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-50221.

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Slowly varying motions and drift forces of a large moored ship in random waves at 35m water depth are investigated by an experimental wave basin study in scale 1:50. A simple horizontal mooring set-up is used. A second-order wave correction is applied to minimize “parasitic” long waves. The effect on the ship motion from the correction is clearly seen, although less in random wave spectra than in pure bi-chromatic waves. Empirical quadratic transfer functions (QTFs) of the surge drift force are found by use of cross-bi-spectral analysis, in two different spectra have been obtained. The QTF levels increase significantly with lower wave frequencies (except at the diagonal), which is special for finite and shallow water. Furthermore, the QTF levels frequencies at low frequencies increase significantly out from the QTF diagonal. Thus Newman’s approximation should preferrably not be used in these cases. Using the LF waves as a direct excitation in a “linear” ship force analysis gives random records that compare reasonably well with those from the cross-bi-spectral analysis. This confirms the idea that the drift forces in shallow water are closely correlated to the second-order potential, and thereby by the second-order LF waves.
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