892 resultados para Three Body Problem


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The present study is to investigate the interaction of strong shock heated oxygen on the surface of SiO2 thin film. The thermally excited oxygen undergoes a three-body recombination reaction on the surface of silicon dioxide film. The different oxidation states of silicon species on the surface of the shock-exposed SiO2 film are discussed based on X-ray Photoelectron Spectroscopy (XPS) results. The surface morphology of the shock wave induced damage at the cross section of SiO2 film and structure modification of these materials are analyzed using scanning electron microscopy and ion microscopy. Whether the surface reaction of oxygen on SiO2 film is catalytic or non-catalytic is discussed in this paper.

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Tutkielmassa esitellään ja arvioidaan John Searlen teoriaa tietoisuudesta. Tietoisuus (consciousness) on Searlen mukaan tärkein mielenfilosofinen käsite. Searle ei määrittele käsitettä tarkasti, vaan tyytyy esittämään sitä kuvaavia esimerkkejä ja analogioita. Tietoisuuden keskeisimmiksi ominaisuuksiksi Searlen teoriassa näyttävät muodostuvan intentionaalisuus (intentionality), subjektiivisuus (subjectivity) ja kausaalinen vaikutus käyttäytymiseen (mental causation). Näihin ominaisuuksiin liittyvät myös Searlen painavimmat tietoisuudesta esittämät argumentit. Argumenttien analysointi on tutkielman tärkein tavoite. Searlen yhteysperiaatteen (Connection Principle) mukaan intentionaalisia tiloja voi olla vain olennolla, jolla voi olla tietoisia intentionaalisia tiloja, ja jokainen alitajuinen intentionaalinen tila on ainakin potentiaalisesti tietoinen. Toisin sanoen intentionaalisuuden ja tietoisuuden välillä vallitsee välttämätön yhteys seuraavasti: on loogisesti välttämätöntä, että jokainen intentionaalinen tila voi ainakin periaattessa päästä tietoisuuteen.Tutkielmassa kuitenkin osoitetaan, että yhteysperiaateeseen on syytä suhtautua epäillen. Searlen yhteysperiaatteen puolesta esittämä argumentti näyttää nimittäin sisältävän dilemman. Jos erottelu intrinsiseen ja näennäiseen intentionaalisuuteen tulkitaan Searlen tavoin, syyllistytään sen olettamiseen, mikä pitäisi todistaa; jos taas erottelu tulkitaan toisin kuin Searle, argumentti ei tue yhteysperiaatetta. Searlen mukaan mentaaliset tilat ovat aina jonkun mentaalisia tiloja. Tästä väitteestä Searle pyrkii johtamaan toisen, paljon radikaalimman väitteen: mielen ilmiöt kuuluvat omaan ontologiseen kategoriaansa, subjektiivisten mentaalisten tilojen kategoriaan. Searlen käsitystä tukee Thomas Nagelin esittämä, hyvin samansisältöinen argumentti. Yksimielisyys ei kuitenkaan ole erehtymättömyyden tae, sillä Paul Churchlandin kritiikki näyttää pahasti horjuttavan Searlen subjektiivisuusargumentin uskottavuutta. Churchland väittää Searlen syyllistyvän intensionaaliseen virhepäätelmään. Yksittäisen henkilön episteemisen pääsyn rajoittuneisuudesta ei Churchlandin mukaan voida tehdä mitään ontologisia johtopäätöksiä, koska tiedetyksi tuleminen ei ole objektin aito ominaisuus. Vastaväite näyttää olevan kohtalokas Searlen subjektiivisuusargumentille. Subjektiivisuuden ongelma näyttää olevan perustava metafyysinen vedenjakaja, joka jakaa mielenfilosofiset teoriat toisaalta materialistisiin, toisaalta dualistisiin. Searle uskoo, että mieli-ruumis -ongelma (mind-body problem) on ratkaistavissa ilman, että tarvitsee valita kumpaakaan. Ratkaisu sisältyy kahteen Searlen näennäisesti yhteensopimattomaan teesiin. Ensimmäisen teesin mukaan mentaaliset tilat ovat todellisia ilmiöitä, eikä niitä voida redusoida mihinkään muuhun tai eliminoida määrittelemällä ne uudestaan. Toisen teesin mukaan aivojen operaatiot aiheuttavat mentaaliset tilat ja mentaaliset tilat ovat aivojen piirteitä. Teeseistä jälkimmäinen osoittautuu ongelmalliseksi syistä, jotka Jaegwon Kim on esittänyt. Jos mentaaliset tilat olisivat aivojen ominaisuuksia, ei mielen ja aivojen välinen suhde voisi olla kausaalinen, koska kausaatiossa (causation) on aina kyse kahden erillisen entiteetin tai tapahtuman välisestä relaatiosta, jossa suhteen osapuolien välillä on oltava ajallista etäisyyttä. Toiseksi Searlen vertaus tietoisuuden ja aivojen suhteesta kappaleen kiinteyden ja sen mikrorakenteen suhteeseen epäonnistuu, koska tietoisuus ja kiinteys kuuluvat Searlen teoriassa eri ontologisiin kategorioihin, eikä niitä siten voi ongelmattomasti rinnastaa. Searlen analogia kiinteyteen murtuu myös siksi, että kappaleen mikrorakenne ei yksinkertaisesti aiheuta sen kiinteyttä. Tietoisuus ei siis voi olla samanaikaisesti aivojen ominaisuus ja aivojen kausaalisen toiminnan seuraus. Tutkielmassa päädytään puolustamaan kantaa, että Searlen argumentit eivät ole vakuuttavia ja että Searle ei ole onnistunut eksplikoimaan teoriaa, joka välttäisi dualismiin ja materialismiin liittyvät tunnetut ongelmat. Kysymys mikä on mielen suhde ruumiiseen, jää siten avoimeksi. Avainsanat: intentionaalisuus, mentaalinen, mieli-ruumis -ongelma, Searle, subjektiivisuus, tietoisuus

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We offer a procedure for evaluating the forces exerted by solitons of weak-coupling field theories on one another. We illustrate the procedure for the kink and the antikink of the two-dimensional φ4 theory. To do this, we construct analytically a static solution of the theory which can be interpreted as a kink and an antikink held a distance R apart. This leads to a definition of the potential energy U(R) for the pair, which is seen to have all the expected features. A corresponding evaluation is also done for U(R) between a soliton and an antisoliton of the sine-Gordon theory. When this U(R) is inserted into a nonrelativistic two-body problem for the pair, it yields a set of bound states and phase shifts. These are found to agree with exact results known for the sine-Gordon field theory in those regions where U(R) is expected to be significant, i.e., when R is large compared to the soliton size. We take this agreement as support that our procedure for defining U(R) yields the correct description of the dynamics of well-separated soliton pairs. An important feature of U(R) is that it seems to give strong intersoliton forces when the coupling constant is small, as distinct from the forces between the ordinary quanta of the theory. We suggest that this is a general feature of a class of theories, and emphasize the possible relevance of this feature to real strongly interacting hadrons.

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Owing to the complexity of the wear process, high stress grinding abrasion is quite different from two-body abrasive wear. Reported data on two-body abrasive wear reveal that the wear decreases with an increase in steel hardness. This relationship can be established without having to consider the microstructure of the steel grinding medium. However, it is known that hardness cannot be directly employed to predict the wear of steel balls under three-body grinding abrasion, as occurs during dry grinding of ores in ball mills. The present work suggests that the wear behaviour of grinding balls can be classified according to the microstructural family to which they belong. Thus, in this work on AISI 52100 steel, the separate groups of microstructures were spheroidite—pearlite, bainite, tempered martensite and martensite with retained austenite. It appears that wear behaviour of the first three groups follows the same trend as that observed for two-body wear. The data suggest that an optimum level of retained austenite could improve the wear resistance of microstructures containing martensite.

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The restricted three-body method is used to model the effect of the mean tidal field of a cluster of galaxies on the internal dynamics of a disk galaxy falling into the cluster for the first time. In the model adopted the galaxy experiences a tidal field that is compressive within the core of the cluster. The planar random velocities of all components in the disk increase after the galaxy passes through the core of the cluster. The low-velocity dispersion gas clouds experience a relatively larger increase in random velocity than the hotter stellar components. The increase in planar velocities results in a strong anisotropy between the planar and vertical velocity dispersions. It is argued that this will make the disk unstable to the 'fire-hose instability' which leads to bending modes in the disk and which will thicken the disk slightly. The mean tidal fields in rich clusters were probably stronger during the epoch of cluster formation and relaxation than they are in present-day relaxed clusters.

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We construct a new many-body Hamiltonian with two- and three-body interactions in two space dimensions and obtain its exact many-body ground state for an arbitrary number of particles. This ground state has a novel pairwise correlation. A class of exact solutions for the excited states is also found. These excited states display an energy spectrum similar to the Calogero-Sutherland model in one dimension. The model reduces to an analog of the well-known trigonometric Sutherland model when projected on to a circular ring.

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Single fluid schemes that rely on an interface function for phase identification in multicomponent compressible flows are widely used to study hydrodynamic flow phenomena in several diverse applications. Simulations based on standard numerical implementation of these schemes suffer from an artificial increase in the width of the interface function owing to the numerical dissipation introduced by an upwind discretization of the governing equations. In addition, monotonicity requirements which ensure that the sharp interface function remains bounded at all times necessitate use of low-order accurate discretization strategies. This results in a significant reduction in accuracy along with a loss of intricate flow features. In this paper we develop a nonlinear transformation based interface capturing method which achieves superior accuracy without compromising the simplicity, computational efficiency and robustness of the original flow solver. A nonlinear map from the signed distance function to the sigmoid type interface function is used to effectively couple a standard single fluid shock and interface capturing scheme with a high-order accurate constrained level set reinitialization method in a way that allows for oscillation-free transport of the sharp material interface. Imposition of a maximum principle, which ensures that the multidimensional preconditioned interface capturing method does not produce new maxima or minima even in the extreme events of interface merger or breakup, allows for an explicit determination of the interface thickness in terms of the grid spacing. A narrow band method is formulated in order to localize computations pertinent to the preconditioned interface capturing method. Numerical tests in one dimension reveal a significant improvement in accuracy and convergence; in stark contrast to the conventional scheme, the proposed method retains its accuracy and convergence characteristics in a shifted reference frame. Results from the test cases in two dimensions show that the nonlinear transformation based interface capturing method outperforms both the conventional method and an interface capturing method without nonlinear transformation in resolving intricate flow features such as sheet jetting in the shock-induced cavity collapse. The ability of the proposed method in accounting for the gravitational and surface tension forces besides compressibility is demonstrated through a model fully three-dimensional problem concerning droplet splash and formation of a crownlike feature. (C) 2014 Elsevier Inc. All rights reserved.

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The collapse of the primordial gas in the density regime similar to 10(8)-10(10) cm(-3) is controlled by the three-body H-2 formation process, in which the gas can cool faster than free-fall time-a condition proposed as the chemothermal instability. We investigate how the heating and cooling rates are affected during the rapid transformation of atomic to molecular hydrogen. With a detailed study of the heating and cooling balance in a 3D simulation of Pop III collapse, we follow the chemical and thermal evolution of the primordial gas in two dark matter minihalos. The inclusion of sink particles in modified Gadget-2 smoothed particle hydrodynamics code allows us to investigate the long-term evolution of the disk that fragments into several clumps. We find that the sum of all the cooling rates is less than the total heating rate after including the contribution from the compressional heating (pdV). The increasing cooling rate during the rapid increase of the molecular fraction is offset by the unavoidable heating due to gas contraction. We conclude that fragmentation occurs because H-2 cooling, the heating due to H-2 formation and compressional heating together set a density and temperature structure in the disk that favors fragmentation, not the chemothermal instability.

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The ionization kinetics of sodium diluted in argon is studied in a shock tube, in which the test gas mixture is ionized by a reflected shock wave and subsequently quenched by a strong rarefaction wave. A Langmuir electrostatic probe is used to monitor the variation of the ion number density at the reflection shock wave region. The working state of the probe is in the near fi-ee fall region and a correction for reduction of the probe current due to elastic scattering in the probe sheath is introduced. At the temperature range of 800 to 2600 K and in the ambience of argon gas, the three-body recombination rate coefficient of the sodium ion with electron is determined: 3.43 x 10(-14)T(-3.77) cm(6).s(-1).

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We have developed a classical two- and three-body interaction potential to simulate the hydroxylated, natively oxidized Si surface in contact with water solutions, based on the combination and extension of the Stillinger-Weber potential and of a potential originally developed to simulate SiO(2) polymorphs. The potential parameters are chosen to reproduce the structure, charge distribution, tensile surface stress, and interactions with single water molecules of a natively oxidized Si surface model previously obtained by means of accurate density functional theory simulations. We have applied the potential to the case of hydrophilic silicon wafer bonding at room temperature, revealing maximum room temperature work of adhesion values for natively oxidized and amorphous silica surfaces of 97 and 90 mJm(2), respectively, at a water adsorption coverage of approximately 1 ML. The difference arises from the stronger interaction of the natively oxidized surface with liquid water, resulting in a higher heat of immersion (203 vs 166 mJm(2)), and may be explained in terms of the more pronounced water structuring close to the surface in alternating layers of larger and smaller densities with respect to the liquid bulk. The computed force-displacement bonding curves may be a useful input for cohesive zone models where both the topographic details of the surfaces and the dependence of the attractive force on the initial surface separation and wetting can be taken into account.

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Resumen: Il saggio esamina il rapporto anima, mente, corpo alla luce delle sfide del nuovo naturalismo che molto spesso incorpora un secco riduzionismo ed un’opzione materialistica. Questa risulta un apriori, non l’esito di un argomento: J. Searle la chiama “la religione del nostro tempo”. Vengono poi esaminati l’attuale oblio dell’anima, la riduzione del suo tema al mind-body problem, la qualità della tesi ilemorfica, illustrata in specie attraverso le soluzioni dell’Aquinate, l’equivoco del dualismo cartesiano. Chiude il saggio uno sguardo sulla questione dell’immortalità dell’anima.

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Part I

Particles are a key feature of planetary atmospheres. On Earth they represent the greatest source of uncertainty in the global energy budget. This uncertainty can be addressed by making more measurement, by improving the theoretical analysis of measurements, and by better modeling basic particle nucleation and initial particle growth within an atmosphere. This work will focus on the latter two methods of improvement.

Uncertainty in measurements is largely due to particle charging. Accurate descriptions of particle charging are challenging because one deals with particles in a gas as opposed to a vacuum, so different length scales come into play. Previous studies have considered the effects of transition between the continuum and kinetic regime and the effects of two and three body interactions within the kinetic regime. These studies, however, use questionable assumptions about the charging process which resulted in skewed observations, and bias in the proposed dynamics of aerosol particles. These assumptions affect both the ions and particles in the system. Ions are assumed to be point monopoles that have a single characteristic speed rather than follow a distribution. Particles are assumed to be perfect conductors that have up to five elementary charges on them. The effects of three body interaction, ion-molecule-particle, are also overestimated. By revising this theory so that the basic physical attributes of both ions and particles and their interactions are better represented, we are able to make more accurate predictions of particle charging in both the kinetic and continuum regimes.

The same revised theory that was used above to model ion charging can also be applied to the flux of neutral vapor phase molecules to a particle or initial cluster. Using these results we can model the vapor flux to a neutral or charged particle due to diffusion and electromagnetic interactions. In many classical theories currently applied to these models, the finite size of the molecule and the electromagnetic interaction between the molecule and particle, especially for the neutral particle case, are completely ignored, or, as is often the case for a permanent dipole vapor species, strongly underestimated. Comparing our model to these classical models we determine an “enhancement factor” to characterize how important the addition of these physical parameters and processes is to the understanding of particle nucleation and growth.

Part II

Whispering gallery mode (WGM) optical biosensors are capable of extraordinarily sensitive specific and non-specific detection of species suspended in a gas or fluid. Recent experimental results suggest that these devices may attain single-molecule sensitivity to protein solutions in the form of stepwise shifts in their resonance wavelength, \lambda_{R}, but present sensor models predict much smaller steps than were reported. This study examines the physical interaction between a WGM sensor and a molecule adsorbed to its surface, exploring assumptions made in previous efforts to model WGM sensor behavior, and describing computational schemes that model the experiments for which single protein sensitivity was reported. The resulting model is used to simulate sensor performance, within constraints imposed by the limited material property data. On this basis, we conclude that nonlinear optical effects would be needed to attain the reported sensitivity, and that, in the experiments for which extreme sensitivity was reported, a bound protein experiences optical energy fluxes too high for such effects to be ignored.

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This dissertation consists of two parts. The first part presents an explicit procedure for applying multi-Regge theory to production processes. As an illustrative example, the case of three body final states is developed in detail, both with respect to kinematics and multi-Regge dynamics. Next, the experimental consistency of the multi-Regge hypothesis is tested in a specific high energy reaction; the hypothesis is shown to provide a good qualitative fit to the data. In addition, the results demonstrate a severe suppression of double Pomeranchon exchange, and show the coupling of two "Reggeons" to an external particle to be strongly damped as the particle's mass increases. Finally, with the use of two body Regge parameters, order of magnitude estimates of the multi-Regge cross section for various reactions are given.

The second part presents a diffraction model for high energy proton-proton scattering. This model developed by Chou and Yang assumes high energy elastic scattering results from absorption of the incident wave into the many available inelastic channels, with the absorption proportional to the amount of interpenetrating hadronic matter. The assumption that the hadronic matter distribution is proportional to the charge distribution relates the scattering amplitude for pp scattering to the proton form factor. The Chou-Yang model with the empirical proton form factor as input is then applied to calculate a high energy, fixed momentum transfer limit for the scattering cross section, This limiting cross section exhibits the same "dip" or "break" structure indicated in present experiments, but falls significantly below them in magnitude. Finally, possible spin dependence is introduced through a weak spin-orbit type term which gives rather good agreement with pp polarization data.

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The energy spectra of tritons and Helium-3 nuclei from the reactions 3He(d,t)2p, 3H(d,3He)2n, 3He(d,3He)pn, and 3H(d,t)pn were measured between 6° and 20° at a bombarding energy of 10.9 MeV. An upper limit of 5 μb/sr. was obtained for producing a bound di-neutron at 6° and 7.5°. The 3He(d,t)2p and 3H(d,3He)2n data, together with previous measurements at higher energies, have been used to investigate whether one can unambiguously extract information on the two-nucleon system from these three-body final state reactions. As an aid to these theoretical investigations, Born approximation calculations were made employing realistic nucleon-nucleon potentials and an antisymmetrized final state wave function for the five-particle system. These calculations reproduce many of the features observed in the experimental data and indicate that the role of exchange processes cannot be ignored. The results show that previous attempts to obtain information on the neutron-neutron scattering length from the 3H(d,3He)2n reaction may have seriously overestimated the precision that could be attained.

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The reaction γ + p p + π+ + π- has been studied for photon energies between 800 and 1500 MeV and for dipion masses between 510 and 900 MeV. The bremsstrahlung beam from the Caltech synchrotron was passed through a liquid hydrogen target and spark chambers were used to detect the three final particles. In addition, the proton energy was determined by a range measurement. Approximately 40,000 photographs were taken, yielding 3018 acceptable events. The results were fit to an incoherent combination of the N*(1238) resonance, the po (750) resonance, and three-body phase space, with various models being tried for po production. The total cross section for po production is consistent with previous experiments. However, the angular dependence of the cross section is slightly more peaked in the forward direction, and the ratio of po production to phase space production is larger than previously observed.

However, since this experiment was only sensitive to the production angles cos θ cm ≥ .75, statistical fluctuations and/or an anisotropic distribution of background production have a severe influence on the po to background ratio. Of the po models tested, the results prefer po production by the one pion exchange mechanism with a very steep form factor dependence. The values of the mass and width of the po found here are consistent with previous experiments.