1,580 research outputs found
Shilnikov Lemma for a nondegenerate critical manifold of a Hamiltonian system
We prove an analog of Shilnikov Lemma for a normally hyperbolic symplectic
critical manifold of a Hamiltonian system. Using this
result, trajectories with small energy shadowing chains of homoclinic
orbits to are represented as extremals of a discrete variational problem,
and their existence is proved. This paper is motivated by applications to the
Poincar\'e second species solutions of the 3 body problem with 2 masses small
of order . As , double collisions of small bodies correspond to
a symplectic critical manifold of the regularized Hamiltonian system
Anisotropic magnetoresistance and anisotropic tunneling magnetoresistance due to quantum interference in ferromagnetic metal break junctions
We measure the low-temperature resistance of permalloy break junctions as a
function of contact size and the magnetic field angle, in applied fields large
enough to saturate the magnetization. For both nanometer-scale metallic
contacts and tunneling devices we observe large changes in resistance with
angle, as large as 25% in the tunneling regime. The pattern of
magnetoresistance is sensitive to changes in bias on a scale of a few mV. We
interpret the effect as a consequence of conductance fluctuations due to
quantum interference.Comment: 4 pages, 4 figures. Changes in response to reviewer comments. New
data provide information about the mechanism causing the AMR and TAM
From ballistic transport to tunneling in electromigrated ferromagnetic breakjunctions
We fabricate ferromagnetic nanowires with constrictions whose cross section
can be reduced gradually from 100 nm to the atomic scale and eventually to the
tunneling regime by means of electromigration. These devices are mechanically
stable against magnetostriction and magnetostatic effects. We measure
magnetoresistances ~ 0.3% for 100*30 nm^2 constrictions, increasing to a
maximum of 80% for atomic-scale widths. These results are consistent with a
geometrically-constrained domain wall trapped at the constriction. For the
devices in the tunneling regime we observe large fluctuations in MR, between
-10 and 85%.Comment: 4 pages, 5 figure
Metal-nanoparticle single-electron transistors fabricated using electromigration
We have fabricated single-electron transistors from individual metal
nanoparticles using a geometry that provides improved coupling between the
particle and the gate electrode. This is accomplished by incorporating a
nanoparticle into a gap created between two electrodes using electromigration,
all on top of an oxidized aluminum gate. We achieve sufficient gate coupling to
access more than ten charge states of individual gold nanoparticles (5-15 nm in
diameter). The devices are sufficiently stable to permit spectroscopic studies
of the electron-in-a-box level spectra within the nanoparticle as its charge
state is varied.Comment: 3 pages, 3 figures, submitted to AP
Phase-space correlations of chaotic eigenstates
It is shown that the Husimi representations of chaotic eigenstates are
strongly correlated along classical trajectories. These correlations extend
across the whole system size and, unlike the corresponding eigenfunction
correlations in configuration space, they persist in the semiclassical limit. A
quantitative theory is developed on the basis of Gaussian wavepacket dynamics
and random-matrix arguments. The role of symmetries is discussed for the
example of time-reversal invariance.Comment: Published version with minor corrections to version
Distributed computing system with dual independent communications paths between computers and employing split tokens
This is a distributed computing system providing flexible fault tolerance; ease of software design and concurrency specification; and dynamic balance of the loads. The system comprises a plurality of computers each having a first input/output interface and a second input/output interface for interfacing to communications networks each second input/output interface including a bypass for bypassing the associated computer. A global communications network interconnects the first input/output interfaces for providing each computer the ability to broadcast messages simultaneously to the remainder of the computers. A meshwork communications network interconnects the second input/output interfaces providing each computer with the ability to establish a communications link with another of the computers bypassing the remainder of computers. Each computer is controlled by a resident copy of a common operating system. Communications between respective ones of computers is by means of split tokens each having a moving first portion which is sent from computer to computer and a resident second portion which is disposed in the memory of at least one of computer and wherein the location of the second portion is part of the first portion. The split tokens represent both functions to be executed by the computers and data to be employed in the execution of the functions. The first input/output interfaces each include logic for detecting a collision between messages and for terminating the broadcasting of a message whereby collisions between messages are detected and avoided
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