The appearance of the geometrodynamical version of the Pancharantam phase factor in the polarization state of the monochromatic beam was systematically discarded during the topological phases measurements has been shown. It means that not only topological structure of the transformation manifolds has the physical significance but the metric structure of the coherent state space of its realizati...

We study the structure of the Kauffman algebra of a surface with parameter equal to √ −1. We obtain an interpretation of this algebra as an algebra of parallel transport operators acting on sections of a line bundle over the moduli space of flat SU(2)-connections over the surface. We analyse the asymptotics of traces of curve-operators in TQFT in non standard regimes where the root of unity par...

In this work we study coupled incompressible viscous flow and advective-diffusive transport of a scalar. Both the Navier-Stokes and transport equations are solved using an Eulerian approach. The SUPG/PSPG stabilized finite element formulation is applied for the governing equations. The implementation is held using the libMEsh finite element library which provides support for parallel adaptive m...

The equations of parallel transport for a non-linear connection on phase space are examined. It is shown that, for a free-particle Lagrangian, the connection term first-order in momentum reproduces the geodesic equation of General Relativity and the term zeroth-order in the momentum reproduces the Lorentz electromagnetic force law. Hence from one mathematical expression, a non-linear parallel t...

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”...

SCSI protocol is the protocol of choice for block storage management. Diierent transport mechanisms such as parallel SCSI, Fibre Channel, iSCSI and Innni-band can be used to transfer SCSI protocol data. Distance and connectivity limitations are the key drawbacks of parallel SCSI. Therefore, Fibre Channel, In-niband and iSCSI (SCSI over TCP) are competing to emerge as the dominant next generatio...

A single-molecule spintronic switch and spin valve using two cobaltocene moieties is proposed. Spin-dependent transport through a lead-molecule-lead junction has been calculated using first-principles density functional and nonequilibrium Green function methods. We find that the antiparallel (singlet) configuration of the cobaltocene spins blocks electron transport near the Fermi energy, while ...

An assembly system (AS), a valuable tool for mass production, is generally composed of a number of workstations and a transport system. While the workstations perform some preplanned operations, the transport system moves the assemblies by special designed pallets from one station to another. One common problem associated with automatic assembly systems is that some assembly operations may have...

We have implemented a cell-wise, block-Gauss-Seidel (bGS) iterative algorithm, for the solution of the Sn transport equations on the Roadrunner hybrid, parallel computer architecture. A compute node of this massively parallel machine comprises AMD Opteron cores that are linked to a Cell Broadband Engine (Cell/B.E.). LAPACK routines have been ported to the Cell/B.E. in order to make use of its p...