11,493 research outputs found
A model for the onset of transport in systems with distributed thresholds for conduction
We present a model supported by simulation to explain the effect of
temperature on the conduction threshold in disordered systems. Arrays with
randomly distributed local thresholds for conduction occur in systems ranging
from superconductors to metal nanocrystal arrays. Thermal fluctuations provide
the energy to overcome some of the local thresholds, effectively erasing them
as far as the global conduction threshold for the array is concerned. We
augment this thermal energy reasoning with percolation theory to predict the
temperature at which the global threshold reaches zero. We also study the
effect of capacitive nearest-neighbor interactions on the effective charging
energy. Finally, we present results from Monte Carlo simulations that find the
lowest-cost path across an array as a function of temperature. The main result
of the paper is the linear decrease of conduction threshold with increasing
temperature: , where is an
effective charging energy that depends on the particle radius and interparticle
distance, and is the percolation threshold of the underlying lattice. The
predictions of this theory compare well to experiments in one- and
two-dimensional systems.Comment: 14 pages, 10 figures, submitted to PR
Analytic Results for Massless Three-Loop Form Factors
We evaluate, exactly in d, the master integrals contributing to massless
three-loop QCD form factors. The calculation is based on a combination of a
method recently suggested by one of the authors (R.L.) with other techniques:
sector decomposition implemented in FIESTA, the method of Mellin--Barnes
representation, and the PSLQ algorithm. Using our results for the master
integrals we obtain analytical expressions for two missing constants in the
ep-expansion of the two most complicated master integrals and present the form
factors in a completely analytic form.Comment: minor revisions, to appear in JHE
Gilbert Damping in Magnetic Multilayers
We study the enhancement of the ferromagnetic relaxation rate in thin films
due to the adjacent normal metal layers. Using linear response theory, we
derive the dissipative torque produced by the s-d exchange interaction at the
ferromagnet-normal metal interface. For a slow precession, the enhancement of
Gilbert damping constant is proportional to the square of the s-d exchange
constant times the zero-frequency limit of the frequency derivative of the
local dynamic spin susceptibility of the normal metal at the interface.
Electron-electron interactions increase the relaxation rate by the Stoner
factor squared. We attribute the large anisotropic enhancements of the
relaxation rate observed recently in multilayers containing palladium to this
mechanism. For free electrons, the present theory compares favorably with
recent spin-pumping result of Tserkovnyak et al. [Phys. Rev. Lett.
\textbf{88},117601 (2002)].Comment: 1 figure, 5page
Soliton excitation in waveguide arrays with an effective intermediate dimensionality
We reveal and observe experimentally significant modifications undertaken by
discrete solitons in waveguide lattices upon the continuous transformation of
the lattice structure from one-dimensional to two-dimensional. Light evolution
and soliton excitation in arrays with a gradually increasing number of rows are
investigated, yielding solitons with an effective reduced dimensionality
residing at the edge and in the bulk of the lattice.Comment: 14 pages, 5 figures, to appear in Physical Review Letter
First-principles calculations of magnetization relaxation in pure Fe, Co, and Ni with frozen thermal lattice disorder
The effect of the electron-phonon interaction on magnetization relaxation is
studied within the framework of first-principles scattering theory for Fe, Co,
and Ni by displacing atoms in the scattering region randomly with a thermal
distribution. This "frozen thermal lattice disorder" approach reproduces the
non-monotonic damping behaviour observed in ferromagnetic resonance
measurements and yields reasonable quantitative agreement between calculated
and experimental values. It can be readily applied to alloys and easily
extended by determining the atomic displacements from ab initio phonon spectra
Synthesis and biological evaluation of novel N-substituted nipecotic acid derivatives with tricyclic cage structures in the lipophilic domain as GABA uptake inhibitors
<jats:title>Abstract</jats:title><jats:p>A new class of GABA reuptake inhibitors with sterically demanding, highly rigid tricyclic cage structures as the lipophilic domain was synthesized and investigated in regard to their biological activity at the murine GABA transporters (mGAT1âmGAT4). The construction of these compounds, consisting of nipecotic acid, a symmetric tricyclic amine, and a plain hydrocarbon linker connecting the two subunits via their amino nitrogens, was accomplished via reductive amination of a nipecotic acid derivative with an <jats:italic>N</jats:italic>-alkyl substituent displaying a terminal aldehyde function with tricyclic secondary amines. The target compounds varied with regard to spacer length, the bridge size of one of the bridges, and the substituents of the tricyclic skeleton to study the impact of these changes on their potency. Among the tested compounds nipecotic acid ethyl ester derivates with phenyl residues attached to the cage subunit showed reasonable inhibitory potency and subtype selectivity in favor of mGAT3 and mGAT4, respectively.</jats:p>
Synthesis of 1,5âRingâFused Imidazoles from Cyclic Imines and TosMIC â Identification of in situ Generated NâMethyleneformamide as a Catalyst in the van Leusen Imidazole Synthesis
Imidazoles fused with a cyclic system in 1,5âposition were synthesized via the van Leusen imidazole synthesis employing saturated aliphatic tricycles including an imine function in the base catalyzed cycloaddition reaction with pâtoluenesulfonylâmethyl isocyanide (TosMIC). Thereby, Nâ(tosylmethyl)formamide, a decomposition product of TosMIC, was found to act as a promoter of this reaction leading to considerably reduced reaction times and improved yields. Mechanistic studies revealed that Nâ(tosylmethyl)formamide is transformed into Nâmethyleneformamide acting as a catalyst in this reaction under the applied basic conditions. Being a Michael acceptor, the employed imines add to this compound, thus being transformed into iminium ions. The so formed intermediates facilitate the first step of the van Leusen imidazole synthesis, which is the addition of deprotonated TosMIC to the iminium subunit. Nâmethyleneformamide is finally reformed during the overall reaction and can thus be considered as an organocatalyst of the studied cycloaddition reaction
NNLO QCD corrections to event shape variables in electron positron annihilation
Precision studies of QCD at electron-positron colliders are based on
measurements of event shapes and jet rates. To match the high experimental
accuracy, theoretical predictions to next-to-next-to-leading order (NNLO) in
QCD are needed for a reliable interpretation of the data. We report the first
calculation of NNLO corrections O(alpha_s^3) to three-jet production and
related event shapes, and discuss their phenomenological impact.Comment: Contributed to 2007 Europhysics Conference on High Energy Physics,
Manchester, England 19-25 July 200
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