1,412 research outputs found
Spiritual Formation in Emerging Adulthood: A Practical Theology for College and Young Adult Ministry
Melting temperature of screened Wigner crystal on helium films by molecular dynamics
Using molecular dynamics (MD) simulation, we have calculated the melting
temperature of two-dimensional electron systems on \AA-\AA helium
films supported by substrates of dielectric constants
at areal densities varying from cm to cm. Our results are in good agreement with the available
theoretical and experimental results.Comment: 4 pages and 4 figure
Counterion-Mediated Weak and Strong Coupling Electrostatic Interaction between Like-Charged Cylindrical Dielectrics
We examine the effective counterion-mediated electrostatic interaction
between two like-charged dielectric cylinders immersed in a continuous
dielectric medium containing neutralizing mobile counterions. We focus on the
effects of image charges induced as a result of the dielectric mismatch between
the cylindrical cores and the surrounding dielectric medium and investigate the
counterion-mediated electrostatic interaction between the cylinders in both
limits of weak and strong electrostatic couplings (corresponding, e.g., to
systems with monovalent and multivalent counterions, respectively). The results
are compared with extensive Monte-Carlo simulations exhibiting good agreement
with the limiting weak and strong coupling results in their respective regime
of validity.Comment: 19 pages, 10 figure
Nanomechanical displacement detection using coherent transport in ordered and disordered graphene nanoribbon resonators
Graphene nanoribbons provide an opportunity to integrate phase-coherent
transport phenomena with nanoelectromechanical systems (NEMS). Due to the
strain induced by a deflection in a graphene nanoribbon resonator, coherent
electron transport and mechanical deformations couple. As the electrons in
graphene have a Fermi wavelength \lambda ~ a_0 = 1.4 {\AA}, this coupling can
be used for sensitive displacement detection in both armchair and zigzag
graphene nanoribbon NEMS. Here it is shown that for ordered as well as
disordered ribbon systems of length L, a strain \epsilon ~ (w/L)^2 due to a
deflection w leads to a relative change in conductance \delta G/G ~ (w^2/a_0L).Comment: 4 Pages, 4 figure
Flows on Graphs with Random Capacities
We investigate flows on graphs whose links have random capacities. For binary
trees we derive the probability distribution for the maximal flow from the root
to a leaf, and show that for infinite trees it vanishes beyond a certain
threshold that depends on the distribution of capacities. We then examine the
maximal total flux from the root to the leaves. Our methods generalize to
simple graphs with loops, e.g., to hierarchical lattices and to complete
graphs.Comment: 8 pages, 6 figure
Site selection for electrical receiving stations
Call number: LD2668 .T4 1984 S625Master of Landscape Architectur
Recursive solutions for Laplacian spectra and eigenvectors of a class of growing treelike networks
The complete knowledge of Laplacian eigenvalues and eigenvectors of complex
networks plays an outstanding role in understanding various dynamical processes
running on them; however, determining analytically Laplacian eigenvalues and
eigenvectors is a theoretical challenge. In this paper, we study the Laplacian
spectra and their corresponding eigenvectors of a class of deterministically
growing treelike networks. The two interesting quantities are determined
through the recurrence relations derived from the structure of the networks.
Beginning from the rigorous relations one can obtain the complete eigenvalues
and eigenvectors for the networks of arbitrary size. The analytical method
opens the way to analytically compute the eigenvalues and eigenvectors of some
other deterministic networks, making it possible to accurately calculate their
spectral characteristics.Comment: Definitive version accepted for publication in Physical Reivew
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