18,006 research outputs found
An accurate model for genetic hitch-hiking
We suggest a simple deterministic approximation for the growth of the
favoured-allele frequency during a selective sweep. Using this approximation we
introduce an accurate model for genetic hitch-hiking. Only when Ns < 10 (N is
the population size and s denotes the selection coefficient), are discrepancies
between our approximation and direct numerical simulations of a Moran model
noticeable. Our model describes the gene genealogies of a contiguous segment of
neutral loci close to the selected one, and it does not assume that the
selective sweep happens instantaneously. This enables us to compute SNP
distributions on the neutral segment without bias.Comment: 12 pages, 10 figure
Theory of spin-polarized scanning tunneling microscopy applied to local spins
We provide a theory for scanning tunneling microscopy and spectroscopy using
a spin-polarized tip. It it shown that the tunneling conductance can be
partitioned into three separate contributions, a background conductance which
is independent of the local spin, a dynamical conductance which is proportional
to the local spin moment, and a conductance which is proportional to the noise
spectrum of the local spin interactions. The presented theory is applicable to
setups with magnetic tip and substrate in non-collinear arrangement, as well as
for non-magnetic situations. The partitioning of the tunneling current suggests
a possibility to extract the total spin moment of the local spin from the
dynamical conductance. The dynamical conductance suggests a possibility to
generate very high frequency spin-dependent ac currents and/or voltages. We
also propose a measurement of the dynamical conductance that can be used to
determine the character of the effective exchange interaction between
individual spins in clusters. The third contribution to the tunneling current
is associated with the spin-spin correlations induced by the exchange
interaction between the local spin moment and the tunneling electrons. We
demonstrate how this term can be used in the analysis of spin excitations
recorded in conductance measurements. Finally, we propose to use spin-polarized
scanning tunneling microscopy for detailed studies of the spin excitation
spectrum.Comment: 12 pages, 4 figure, updated to match the published version, to appear
in the Phys. Rev.
Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates
The multiadaptive continuous/discontinuous Galerkin methods mcG(q) and mdG(q)
for the numerical solution of initial value problems for ordinary differential
equations are based on piecewise polynomial approximation of degree q on
partitions in time with time steps which may vary for different components of
the computed solution. In this paper, we prove general order a priori error
estimates for the mcG(q) and mdG(q) methods. To prove the error estimates, we
represent the error in terms of a discrete dual solution and the residual of an
interpolant of the exact solution. The estimates then follow from interpolation
estimates, together with stability estimates for the discrete dual solution
Universal distribution of magnetic anisotropy of impurities in ordered and disordered nano-grains
We examine the distribution of the magnetic anisotropy (MA) experienced by a
magnetic impurity embedded in a metallic nano-grain. As an example of a generic
magnetic impurity with partially filled -shell, we study the case of
impurities imbedded into ordered and disordered Au nano-grains, described in
terms of a realistic band structure. Confinement of the electrons induces a
magnetic anisotropy that is large, and can be characterized by 5 real
parameters, coupling to the quadrupolar moments of the spin. In ordered
(spherical) nano-grains, these parameters exhibit symmetrical structures and
reflect the symmetry of the underlying lattice, while for disordered grains
they are randomly distributed and, - for stronger disorder, - their
distribution is found to be characterized by random matrix theory. As a result,
the probability of having small magnetic anisotropies is suppressed below
a characteristic scale , which we predict to scale with the number of
atoms as . This gives rise to anomalies in the
specific heat and the susceptibility at temperatures and
produces distinct structures in the magnetic excitation spectrum of the
clusters, that should be possible to detect experimentally
Reading between the lines: attitudinal expressions in text
This is a brief overview of the starting points a project currently proposed and under evaluation by funding agencies. We discuss some of the linguistic methodology we plan to employ to idenitify and analyze attitudinal expressions in text, and touch briefly on how to evaluate our future results
Deep Learning of Geometric Constellation Shaping including Fiber Nonlinearities
A new geometric shaping method is proposed, leveraging unsupervised machine
learning to optimize the constellation design. The learned constellation
mitigates nonlinear effects with gains up to 0.13 bit/4D when trained with a
simplified fiber channel model.Comment: 3 pages, 6 figures, submitted to ECOC 201
Switched-Capacitor Programmable Sallen and Key Lowpass Filters
This thesis deals with a different approach to switched-capacitor filters than previously seen by the use of a Sallen and Key topology. It is shown that a Sallen and Key second-order topology approach to a switched-capacitor filter gives reasonable filter performance results, contrary to what the literature leads one to expect. It is also shown that the Sallen and Key second-order topology with modification to a third-order section with buffers results in a high performance switched-capacitor filter with fewer components than previous switched-capacitor filters. This results in fewer monolithic chip size requirements, reduced power requirements, and less cost. Higher order filters could be obtained by cascading either one of the second- or third-order switched-capacitor sections together. Desired filter Q values and cutoff frequencies are shown to be obtained by changing the capacitor ratios and clock frequencies, respectively
Atomistic spin dynamics of the CuMn spin glass alloy
We demonstrate the use of Langevin spin dynamics for studying dynamical
properties of an archetypical spin glass system. Simulations are performed on
CuMn (20% Mn) where we study the relaxation that follows a sudden quench of the
system to the low temperature phase. The system is modeled by a Heisenberg
Hamiltonian where the Heisenberg interaction parameters are calculated by means
of first-principles density functional theory. Simulations are performed by
numerically solving the Langevin equations of motion for the atomic spins. It
is shown that dynamics is governed, to a large degree, by the damping parameter
in the equations of motion and the system size. For large damping and large
system sizes we observe the typical aging regime.Comment: 18 pages, 9 figure
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