5,450 research outputs found
Protrepticus
A new translation and edition of Aristotle's Protrepticus (with critical comments on the fragments)
Welcome
The Protrepticus was an early work of Aristotle, written while he was still a member of Plato's Academy, but it soon became one of the most famous works in the whole history of philosophy. Unfortunately it was not directly copied in the middle ages and so did not survive in its own manuscript tradition. But substantial fragments of it have been preserved in several works by Iamblichus of Chalcis, a third century A.D. neo-Pythagorean philosopher and educator. On the basis of a close study of Iamblichus' extensive use and excerption of Aristotle's Protrepticus, it is possible to reconstruct the backbone of the lost work, and then to flesh it out with the other surviving reports about the work from antiquity (for example in Alexander of Aphrodisias and other ancient commentators on Aristotle). It is also possible to identify several papyrus fragments of the work, and many references and literary allusions in later authors, especially Cicero, whose own lost dialogue Hortensius was a defense of philosophy modeleld on Aristotle's
Low-dimensional chaos in populations of strongly-coupled noisy maps
We characterize the macroscopic attractor of infinite populations of noisy
maps subjected to global and strong coupling by using an expansion in order
parameters. We show that for any noise amplitude there exists a large region of
strong coupling where the macroscopic dynamics exhibits low-dimensional chaos
embedded in a hierarchically-organized, folded, infinite-dimensional set. Both
this structure and the dynamics occuring on it are well-captured by our
expansion. In particular, even low-degree approximations allow to calculate
efficiently the first macroscopic Lyapunov exponents of the full system.Comment: 16 pages, 9 figures. Progress of Theoretical Physics, to appea
Analysis of the Spectral Energy Distributions of Fermi bright blazars
Blazars are a small fraction of all extragalactic sources but, unlike other
objects, they are strong emitters across the entire electromagnetic spectrum.
In this study we have conducted a detailed investigation of the broad-band
spectral properties of the gamma-ray selected blazars of the Fermi-LAT Bright
AGN Sample (LBAS). By combining the accurately estimated Fermi gamma-ray
spectra with Swift, radio, NIR-Optical and hard-X/gamma-ray data, collected
within three months of the LBAS data taking period, we were able to assemble
high-quality and quasi-simultaneous Spectral Energy Distributions (SED) for 48
LBAS blazars.Comment: 6 pages, 8 figures, "2009 Fermi Symposium", "eConf Proceedings
C091122
Mass Transport of Volatile Organic Compounds between the Saturated and Vadose Zones
Volatile organic compounds (VOCs) dissolved in the saturated zone are transported into the vadose zone primarily by gaseous phase diffusion. If the saturated zone is remediated, VOCs present in the vadose zone may become a secondary source of contamination for the groundwater. The amount of VOCs that remain in the vadose zone is dependent on site hydrology, soil properties, and the chemical properties of the contaminants. The purpose of this study was to determine what conditions caused VOC concentrations in the vadose zone to significantly recontaminate the saturated zone. A one-dimensional numerical model was developed to investigate the transport of a VOC, trichioroethylene, between the saturated and vadose zones under a variety of conditions. The model featured steady-state unsaturated water flow and transient contaminant transport Transport mechanisms included aqueous phase advection-dispersion and gaseous phase diffusion. Partitioning between the water, gas, and soil compartments were modeled as equilibrium processes. Sensitivity analyses were performed on several variables including soil type (homogeneous and heterogeneous profiles), water infiltration rate and vadose zone depth. Results indicated that recontamination was most significant rate, and vadose zone depth. Results indicated that recontamination was most significant in the presence of heterogeneous soils, low infiltration rates and deep vadose zones
Noise-induced macroscopic bifurcations in globally-coupled chaotic units
Large populations of globally-coupled identical maps subjected to independent
additive noise are shown to undergo qualitative changes as the features of the
stochastic process are varied. We show that for strong coupling, the collective
dynamics can be described in terms of a few effective macroscopic degrees of
freedom, whose deterministic equations of motion are systematically derived
through an order parameter expansion.Comment: Phys. Rev. Lett., accepte
Mathematical Support to Braneworld Theory
The braneworld theory appear with the purpose of solving the problem of the
hierarchy of the fundamental interactions. The perspectives of the theory
emerge as a new physics, for example, deviation of the law of Newton's gravity.
One of the principles of the theory is to suppose that the braneworld is local
submanifold in a space of high dimension, the bulk, solution of Einstein's
equations in high dimension. In this paper we approach the mathematical
consistency of this theory with a new proof of the fundamental theorem of
submanifolds for case of semi-Riemannian manifolds. This theorem consist an
essential mathematical support for this new theory. We find the integrability
conditions for the existence of space-time submanifolds in a pseudo-Euclidean
space.
Keywords: Submanifolds, Braneworld, Pseudo-Riemannian geometryComment: 10 page
Sharp Hardy inequalities in the half space with trace remainder term
In this paper we deal with a class of inequalities which interpolate the
Kato's inequality and the Hardy's inequality in the half space. Starting from
the classical Hardy's inequality in the half space \rnpiu
=\R^{n-1}\times(0,\infty), we show that, if we replace the optimal constant
with a smaller one , , then we can add an extra trace-term equals to that one that appears in the
Kato's inequality. The constant in the trace remainder term is optimal and it
tends to zero when goes to , while it is equal to the optimal
constant in the Kato's inequality when
The Kuramoto model with distributed shear
We uncover a solvable generalization of the Kuramoto model in which shears
(or nonisochronicities) and natural frequencies are distributed and
statistically dependent. We show that the strength and sign of this dependence
greatly alter synchronization and yield qualitatively different phase diagrams.
The Ott-Antonsen ansatz allows us to obtain analytical results for a specific
family of joint distributions. We also derive, using linear stability analysis,
general formulae for the stability border of incoherence.Comment: 6 page
- …