2,369 research outputs found
Dressed tunneling approximation for electronic transport through molecular transistors
A theoretical approach for the non-equilibrium transport properties of
nanoscale systems coupled to metallic electrodes with strong electron-phonon
interactions is presented. It consists in a resummation of the dominant Feynman
diagrams from the perturbative expansion in the coupling to the leads. We show
that this scheme eliminates the main pathologies found in previous simple
analytical approaches for the polaronic regime. The results for the spectral
and transport properties are compared with those from several other approaches
for a wide range of parameters. The method can be formulated in a simple way to
obtain the full counting statistics. Results for the shot and thermal noise are
presented.Comment: 11 pages, 11 figures. Accepted for publication in Physical Review
Temperature chaos in 3D Ising Spin Glasses is driven by rare events
Temperature chaos has often been reported in literature as a rare-event
driven phenomenon. However, this fact has always been ignored in the data
analysis, thus erasing the signal of the chaotic behavior (still rare in the
sizes achieved) and leading to an overall picture of a weak and gradual
phenomenon. On the contrary, our analysis relies on a large-deviations
functional that allows to discuss the size dependencies. In addition, we had at
our disposal unprecedentedly large configurations equilibrated at low
temperatures, thanks to the Janus computer. According to our results, when
temperature chaos occurs its effects are strong and can be felt even at short
distances.Comment: 5 pages, 5 figure
Post-Newtonian Dynamics in Dense Star Clusters: Highly-Eccentric, Highly-Spinning, and Repeated Binary Black Hole Mergers
We present models of realistic globular clusters with post-Newtonian dynamics
for black holes. By modeling the relativistic accelerations and
gravitational-wave emission in isolated binaries and during three- and
four-body encounters, we find that nearly half of all binary black hole mergers
occur inside the cluster, with about 10% of those mergers entering the
LIGO/Virgo band with eccentricities greater than 0.1. In-cluster mergers lead
to the birth of a second generation of black holes with larger masses and high
spins, which, depending on the black hole natal spins, can sometimes be
retained in the cluster and merge again. As a result, globular clusters can
produce merging binaries with detectable spins regardless of the birth spins of
black holes formed from massive stars. These second-generation black holes
would also populate any upper mass gap created by pair-instability supernovae.Comment: 9 pages, 3 figures, 2 appendices. To appear in Physical Review
Letter
A geometric technique to generate lower estimates for the constants in the Bohnenblust--Hille inequalities
The Bohnenblust--Hille (polynomial and multilinear) inequalities were proved
in 1931 in order to solve Bohr's absolute convergence problem on Dirichlet
series. Since then these inequalities have found applications in various fields
of analysis and analytic number theory. The control of the constants involved
is crucial for applications, as it became evident in a recent outstanding paper
of Defant, Frerick, Ortega-Cerd\'{a}, Ouna\"{\i}es and Seip published in 2011.
The present work is devoted to obtain lower estimates for the constants
appearing in the Bohnenblust--Hille polynomial inequality and some of its
variants. The technique that we introduce for this task is a combination of the
Krein--Milman Theorem with a description of the geometry of the unit ball of
polynomial spaces on .Comment: This preprint does no longer exist as a single manuscript. It is now
part of the preprint entitled "The optimal asymptotic hypercontractivity
constant of the real polynomial Bohnenblust-Hille inequality is 2" (arXiv
reference 1209.4632
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