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University of Central Florida

2010

Mathematical

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Out-Of-Equilibrium Characteristics Of A Forced Translocating Chain Through A Nanopore, Aniket Bhattacharya, Kurt Binder Jan 2010

Out-Of-Equilibrium Characteristics Of A Forced Translocating Chain Through A Nanopore, Aniket Bhattacharya, Kurt Binder

Faculty Bibliography 2010s

Polymer translocation through a nanopore in a thin membrane is studied using a coarse-grained bead-spring model and Langevin dynamics simulation with a particular emphasis to explore out of equilibrium characteristics of the translocating chain. We analyze the out of equilibrium chain conformations both at the cis and the trans side separately either as a function of the time during the translocation process or as as function of the monomer index m inside the pore. A detailed picture of translocation emerges by monitoring the center of mass of the translocating chain, longitudinal and transverse components of the gyration radii and the …


Scale-Dependent Anisotropic Polarizability In Mesoscopic Structures, David Haefner, Sergey Sukhov, Aristide Dorgariu Jan 2010

Scale-Dependent Anisotropic Polarizability In Mesoscopic Structures, David Haefner, Sergey Sukhov, Aristide Dorgariu

Faculty Bibliography 2010s

Optical properties of inhomogeneous materials are, in general, scale dependent. We show that, when observed at mesoscopic scales, the local anisotropic polarizabilities depend on the volume of interaction, which may be limited by either the excitation field or material dimensions. We demonstrate the existence of a specific interaction length scale corresponding to the maximum degree of local anisotropy and discuss its relation to the detailed morphology of a disordered medium. Probing these mesoscopic scales provides information about the local structure and allows characterizing material systems that otherwise may appear similar.


Dynamics Of Entanglement Between A Quantum Dot Spin Qubit And A Photon Qubit Inside A Semiconductor High-Q Nanocavity, Hubert Pascal Seigneur, Gabriel Gonzalez, Michael Niklaus Leuenberger, Winston Vaughan Schoenfeld Jan 2010

Dynamics Of Entanglement Between A Quantum Dot Spin Qubit And A Photon Qubit Inside A Semiconductor High-Q Nanocavity, Hubert Pascal Seigneur, Gabriel Gonzalez, Michael Niklaus Leuenberger, Winston Vaughan Schoenfeld

Faculty Bibliography 2010s

We investigate in this paper the dynamics of entanglement between a QD spin qubit and a single photon qubit inside a quantum network node, as well as its robustness against various decoherence processes. First, the entanglement dynamics is considered without decoherence. In the small detuning regime (Delta = 78 mu eV), there are three different conditions for maximum entanglement, which occur after 71, 93, and 116 picoseconds of interaction time. In the large detuning regime (Delta = 1.5 meV), there is only one peak for maximum entanglement occurring at 625 picoseconds. Second, the entanglement dynamics is considered with decoherence by …


Two-Dimensional Blasius Viscous Flow Of A Power-Law Fluid Over A Semi-Infinite Flat Plane, Robert A. Van Gorder Jan 2010

Two-Dimensional Blasius Viscous Flow Of A Power-Law Fluid Over A Semi-Infinite Flat Plane, Robert A. Van Gorder

Faculty Bibliography 2010s

Analytic results are obtained for the similarity equation governing the two-dimensional Blasius viscous flow of a power-law fluid over a semi-infinite flat plane via Taylor series for small values of the independent similarity variable. Then, an analytic perturbative procedure is used to determine an approximate solution that exhibits the correct asymptotic behavior. This perturbation method allows for the computation of the shear stress at the wall, something which is impossible with a Taylor series approach. It is found that the perturbation solutions converge sufficiently rapidly; indeed, a first order approximation gives qualitatively accurate results. Furthermore, we employ the perturbation method …


Delta-Expansion Method For Nonlinear Stochastic Differential Equations Describing Wave Propagation In A Random Medium, Robert A. Van Gorder Jan 2010

Delta-Expansion Method For Nonlinear Stochastic Differential Equations Describing Wave Propagation In A Random Medium, Robert A. Van Gorder

Faculty Bibliography 2010s

We apply the delta-expansion method to nonlinear stochastic differential equations describing wave propagation in a random medium. In particular, we focus our attention on a model describing a nonlinear wave propagating in a turbulent atmosphere which has random variations in the refractive index (we take these variations to be stochastic). The method allows us to construct much more reasonable perturbation solutions with relatively few terms (compared to standard "small-parameter" perturbation methods) due to more accurate linearization used in constructing the initial approximation. We demonstrate that the method allows one to compute effective wave numbers more precisely than other methods applied …


Wave Functions And Energy Spectra For The Hydrogenic Atom In R-3 X M, Robert A. Van Gorder Jan 2010

Wave Functions And Energy Spectra For The Hydrogenic Atom In R-3 X M, Robert A. Van Gorder

Faculty Bibliography 2010s

We consider the hydrogenic atom in a space of the form R-3 x M, where M may be a generalized manifold obeying certain properties. We separate the solution to the governing time-independent Schrodinger equation into a component over R-3 and a component over M. Upon obtaining a solution to the relevant eigenvalue problems, we recover both the wave functions and energy spectrum for the hydrogenic atom over R-3 x M. We consider some specific examples of M, including the fairly simple D-dimensional torus T D and the more complicated Kahler conifold K in order to illustrate the method. In the …