Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"parallel transport"”.
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Charged-Particle Transport in Turbulent Magnetic Fields
… fields and plasmas. The determination of the transport of high-energy charged particles both parallel and perpendicular to the average magnetic field in such a system is of considerable interest. It is recognized that the turbulent magnetic field has important effects on the transport of …
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Distribution of Holonomy about Closed Geodesics on Compact Hyperbolic 3-Manifolds
… which describes the angle of rotation by parallel transport about the geodesic. First, we prove ambient prime geodesic theorems, which provide an asymptotic count of closed geodesics by their length and holonomy and imply e ective equidistribution of holonomy in shrinking intervals. These …
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Symmetric spaces
… roots. We furthermore develop the concepts of parallel transport and parallelogram. Later we see that the exponential map associated with spray in the Finsler gyrovector space with seminegative curvature gives us a length minimizing geodesic. Analogous to define a partial order on a vector …
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The Fundamental Group: A Geometric Perspective
… symmetry to local curvature through the lens of parallel transport and the holonomy group. We establish a surjective homomorphism from the fundamental group to the quotient of the full holonomy group by the restricted holonomy group, demonstrating how the global topological features of a manifold …
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Impurity asymmetries in the pedestal region of the Alcator C-Mod Tokamak
… gradients in the pedestal region on impurity transport, research was conducted to measure complete sets of impurity density, poloidal and parallel velocity, and temperature at two separate poloidal locations in the pedestal region of the Alcator C-Mod tokamak. To this end, the diagnostic …
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Experimental tests of parallel impurity transport theory in Tokamak plasmas
… are compared to existing neoclassical parallel impurity transport theory. This is the first time centrifugal force has been observed to cause a substantial asynnnetry in a plasma with no external monmentumn input and where the flow is entirely self-generated. Magnetically trapped fast …
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New Perspectives on Operator Deformations and T-duality in String Theory
… Using the language of connections and parallel transport on the space of backgrounds, we discuss how to deform general operators in a given space of theories, including quantum field theories (QFTs) lacking conformal symmetry. We find that, for a general operator, there are two sources …
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Real commitment: a coarse-grained approach to reality via alternative theories in physics
… alternative to general relativity called teleparallel gravity, posing the question whether curvature should be considered a physically real property of spacetime. I argue against claims -- most prominently by Eleanor Knox (2011) -- that teleparallel gravity should be ruled out on independent …
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Robust Control Design and Analysis for Small Fixed-Wing Unmanned Aircraft Systems Using Integral Quadratic Constraints
… aircraft dynamics with established parallel transport frame virtual vehicle dynamics. The robustness and performance of these controllers are tested in a rigorous MATLAB simulation environment that includes steady winds, turbulence, measurement noise, and delays. After being …