The theory of turbulent transport parallel momentum and ion heat by the interaction stochastic magnetic fields turbulence is presented. Attention focused on determining kinetic stress compressive energy flux. A critical parameter identified as ratio scattering rate to acoustic dispersion. For large, takes form a viscous stress. small, quasilinear residual recovered. In practice, relevant form, ...

A concise discussion of the axiomatic approach to the concept of parallel transport is presented. In particular, attention is drawn to a bijective mapping between the sets of connections and (axiomatically defined) parallel transports. The transports along paths are pointed as a generalization of the (axiomatically defined) parallel transports, which form their proper subset. Some properties of...

Two state-vector representations of mixed states, known as purified state and thermal vacuum, have been realized on quantum computers. Although the two look similar, they differ by a partial transposition in ancilla space. To differentiate representations, we generalize Berry phase pure states to construct geometric phases that can reflect transposition. By generalizing adiabatic condition, Ber...

Human Kinesin-12 (hKif15) plays a crucial role in assembly and maintenance of the mitotic spindle. These functions of hKif15 are partially redundant with Kinesin-5 (Eg5), which can cross-link and drive the extensile sliding of antiparallel microtubules. Although both motors are known to be tetramers, the functional properties of hKif15 are less well understood. Here we reveal how single or mult...

Research on the scrape-off-layer plasma of the Alcator C-Mod Tokamak is reviewed. The research has focused on understanding the transport of energy and particles both parallel and perpendicular to the magnetic field. Large differences between the inboard, high-field side scrape-off-layer and the outboard, low-field side are found. On the outboard side large levels of anomalous cross-field trans...

In order to make conventional implicit algorithm to be applicable in large scale parallel computers , an interface prediction and correction of discontinuous finite element method is presented to solve time-dependent neutron transport equations under 2-D cylindrical geometry. Domain decomposition is adopted in the computational domain.The numerical experiments show that our parallel algorithm w...

A foundation is laid for a theory of combinatorial groupoids, allowing us to use concepts like “holonomy”, “parallel transport”, “bundles”, “combinatorial curvature” etc. in the context of simplicial (polyhedral) complexes, posets, graphs, polytopes and other combinatorial objects. A new, holonomy-type invariant for cubical complexes is introduced, leading to a combinatorial “Theorema Egregium”...

Global atmospheric circulation models (GCM) typically have three primary algorith-mic components: columnar physics, spectral tranform, and semi-Lagrangian transport. In developing parallel implementations, these three components are equally important and can be examined somewhat independently. A two-dimensional horizontal data decomposition of the three-dimensional computational grid leaves all...