Braid group statistics implies scattering in three-dimensional local quantum physics

It is shown that particles with braid group statistics (Plektons) in three-dimensional space-time cannot be free, in a quite elementary sense: They must exhibit elastic two-particle scattering into every solid angle, and at every energy. This also implies that for such particles there cannot be any operators localized in wedge regions which create only single particle states from the vacuum and which are well-behaved under the space-time translations (so-called temperate polarization-free generators). These results considerably strengthen an earlier "NoGo-theorem for 'free' relativistic Anyons". As a by-product we extend a fact which is well-known in quantum field theory to the case of topological charges (i.e., charges localized in space-like cones) in d>3, namely: If there is no elastic two-particle scattering into some arbitrarily small open solid angle element, then the 2-particle S-matrix is trivial.Comment: 25 pages, 4 figures. Comment on model-building added in the introductio

Real-time analytics for urban road transport

Urban road traffic congestion has been a constant problem both in UK and worldwide. Urban road transport authorities collect data from different sources. These data can be effectively utilised with an objective to minimize congestion and its impact. One of the ways for the same can be to find possible congestion in different routes beforehand and then plan accordingly either to reduce the effect or to avoid it entirely. So this project aims to make effective use of existing data to predict journey time for near future e.g. 15/30/60 minutes ahead for different routes within the urban road traffic network. It also produced a working prototype for the journey time prediction with necessary data visualisations. A complete data centric approach has been adopted to solve the problem of prediction by building a predictive model using machine learning algorithms with traffic volumes at different points as predictor and journey time for near future as the target. Given the nature and volume of the data, a big data platform (Apache Spark) was chosen as the analytics platform and the work also proposes a high level technical architecture for the end to end solution. The results for journey time prediction for near future are quite encouraging with a consistency for different routes under the area of consideration

The Spin-Statistics Theorem for Anyons and Plektons in d=2+1

We prove the spin-statistics theorem for massive particles obeying braid group statistics in three-dimensional Minkowski space. We start from first principles of local relativistic quantum theory. The only assumption is a gap in the mass spectrum of the corresponding charged sector, and a restriction on the degeneracy of the corresponding mass.Comment: 21 pages, 2 figures. Citation added; Minor modifications of Appendix

An Algebraic Jost-Schroer Theorem for Massive Theories

We consider a purely massive local relativistic quantum theory specified by a family of von Neumann algebras indexed by the space-time regions. We assume that, affiliated with the algebras associated to wedge regions, there are operators which create only single particle states from the vacuum (so-called polarization-free generators) and are well-behaved under the space-time translations. Strengthening a result of Borchers, Buchholz and Schroer, we show that then the theory is unitarily equivalent to that of a free field for the corresponding particle type. We admit particles with any spin and localization of the charge in space-like cones, thereby covering the case of string-localized covariant quantum fields.Comment: 21 pages. The second (and crucial) hypothesis of the theorem has been relaxed and clarified, thanks to the stimulus of an anonymous referee. (The polarization-free generators associated with wedge regions, which always exist, are assumed to be temperate.

Design and Fabrication of Industrially Scalable low cost Liquid Impregnated Surfaces with extreme hydratephobic properties

The design and fabrication of extremely hydrate phobic Liquid Impregnated Surfaces (sometimes abbreviated as LIS) based on industrial material Aluminium Al6061 and industrially scalable low-cost method were carried out. A simple hydrochloric acid-based etching method and boiling water treatment were used to generate micro and nanoscale nanopetal roughness features respectably. A theoretical analysis was performed to find out the relationship between the interfacial interactions and surface roughness features to predict the stability of lubricant oil of LIS under water and oil environment. LIS with appropriate surface chemistry and textures were fabricated to experimentally validate the theoretical analysis on lubricant stability. Subsequent experimental measurements of hydrate adhesion were performed on LIS with stable lubricant layers, using a custom-made experimental setup and cantilever-based method. Cyclopentane hydrate, mimics gas hydrate forming mechanism at atmospheric pressure, and is used for the hydrate adhesion measurements. Extreme reduction of hydrate adhesion with more than four orders of magnitude was observed on LIS compared to control smooth aluminium surface

Modular Localization of Massive Particles with "Any" Spin in d=2+1

We discuss a concept of particle localization which is motivated from quantum field theory, and has been proposed by Brunetti, Guido and Longo and by Schroer. It endows the single particle Hilbert space with a family of real subspaces indexed by the space-time regions, with certain specific properties reflecting the principles of locality and covariance. We show by construction that such a localization structure exists also in the case of massive anyons in d=2+1, i.e. for particles with positive mass and with arbitrary spin s in the reals. The construction is completely intrinsic to the corresponding ray representation of the (proper orthochronous) Poincare group. Our result is of particular interest since there are no free fields for anyons, which would fix a localization structure in a straightforward way. We present explicit formulas for the real subspaces, expected to turn out useful for the construction of a quantum field theory for anyons. In accord with well-known results, only localization in string-like, instead of point-like or bounded, regions is achieved. We also prove a single-particle PCT theorem, exhibiting a PCT operator which acts geometrically correctly on the family of real subspaces

On the extension of stringlike localised sectors in 2+1 dimensions

In the framework of algebraic quantum field theory, we study the category \Delta_BF^A of stringlike localised representations of a net of observables O \mapsto A(O) in three dimensions. It is shown that compactly localised (DHR) representations give rise to a non-trivial centre of \Delta_BF^A with respect to the braiding. This implies that \Delta_BF^A cannot be modular when non-trival DHR sectors exist. Modular tensor categories, however, are important for topological quantum computing. For this reason, we discuss a method to remove this obstruction to modularity. Indeed, the obstruction can be removed by passing from the observable net A(O) to the Doplicher-Roberts field net F(O). It is then shown that sectors of A can be extended to sectors of the field net that commute with the action of the corresponding symmetry group. Moreover, all such sectors are extensions of sectors of A. Finally, the category \Delta_BF^F of sectors of F is studied by investigating the relation with the categorical crossed product of \Delta_BF^A by the subcategory of DHR representations. Under appropriate conditions, this completely determines the category \Delta_BF^F.Comment: 36 pages, 1 eps figure; v2: appendix added, minor corrections and clarification

Mixing of mineral dust with urban pollution aerosol over Dakar (Senegal): Impact on dust physico-chemical and radiative properties.

In the framework of the Saharan Mineral Dust Experiment (SAMUM) in 2008, the mixing of the urban pollution plume of Dakar (Senegal) with mineral dust was studied in detail using the German research aircraft Falcon which was equipped with a nadir-looking high spectral resolution lidar (HSRL) and extensive aerosol in situ instrumentation. The mineral dust layer as well as the urban pollution plume were probed remotely by the HSRL and in situ. Back trajectory analyses were used to attribute aerosol samples to source regions.We found that the emission from the region of Dakar increased the aerosol optical depth (532 nm) from approximately 0.30 over sea and over land east of Dakar to 0.35 in the city outflow. In the urban area, local black carbon (BC) emissions, or soot respectively, contributed more than 75% to aerosol absorption at 530 nm. In the dust layer, the single-scattering albedo at 530 nm was 0.96 â�� 0.99, whereas we found a value of 0.908 �± 0.018 for the aerosol dominated by urban pollution. After 6h of transport over the North Atlantic, the externally mixed mode of secondary aerosol particles had almost completely vanished, whereas the BC agglomerates (soot) were still externally mixed with mineral dust particles

String-localized Quantum Fields and Modular Localization

We study free, covariant, quantum (Bose) fields that are associated with irreducible representations of the Poincar\'e group and localized in semi-infinite strings extending to spacelike infinity. Among these are fields that generate the irreducible representations of mass zero and infinite spin that are known to be incompatible with point-like localized fields. For the massive representation and the massless representations of finite helicity, all string-localized free fields can be written as an integral, along the string, of point-localized tensor or spinor fields. As a special case we discuss the string-localized vector fields associated with the point-like electromagnetic field and their relation to the axial gauge condition in the usual setting.Comment: minor correction

Bestimmung der Haftfestigkeit von aufgedampften, metallischen Dickschichten auf Polymersubstrat

Inaktivkomponenten in der Batterieherstellung, wie z. B. Stromsammler, Separator oder die Kontaktierungstaps rücken zunehmend in den Fokus der Forschung. Der Wechsel zu leichteren und günstigeren Materialien ist Gegenstand aktueller Forschungsarbeiten. In diesem Zusammenhang wird auch das Potential von Verbundstromkollektoren näher betrachtet. Dabei handelt es sich um Polymerfolien, die beidseitig mit 0,5 µm bis 1,5 µm dicken Aluminium- oder Kupferschichten metallisiert sind. Als Verbundmaterial müssen dabei im Vergleich zu konventionellen, metallischen Stromkollektoren zusätzliche Materialeigenschaften betrachtet werden. Dazu gehört vor allem die Haftfestigkeit der metallischen Beschichtungen auf den Folien. Es muss ausgeschlossen werden, dass durch wechselnde mechanische Beanspruchungen oder chemische Wechselwirkungen (z.B. mit dem Elektrolyten) in der Li-Ionen-Batteriezelle Delaminationen auftreten und sich die Metallisierung ablöst. Dazu ist eine quantitative Methode zur Bestimmung der Haftfestigkeit notwendig. Nur so kann eine Korrelation zwischen der Haftfestigkeit und dem Verhalten in der Zelle hergestellt werden. Bisherige Versuchsmethoden decken den Anwendungsfall von beidseitig metallisierten Polymersubstraten als Stromkollektorfolie jedoch nicht ab. Aus diesem Grund werden in dieser Studie Prüfverfahren zur Bestimmung der Haftfestigkeit, die bereits in Normen spezifiziert werden, zur Bewertung der Haftfestigkeiten der Verbundfolien adaptiert und bewertet. Die betrachteten Verfahren umfassen Schälversuche, Stirnabzugs- und Zugschertests, welche hinsichtlich ihrer Eignung zur Beurteilung der Haftfestigkeit von Verbundstromkollektoren evaluiert werden. Dabei werden Verbundfolien mit unterschiedlicher Schicht- sowie Substratdicke und variierendem Beschichtungsmaterial berücksichtigt, sodass die Sensitivität der Verfahren zur Bestimmung der Haftfestigkeit aufgelöst und darauf aufbauend deren Eignung zur Charakterisierung der Verbundfolien bewertet werden kann