Rolling/Slipping Motion of Euler's Disk

We present an experimental study of the motion of a circular disk spun onto a table. With the help of a high speed video system, the temporal evolutions of (i) the inclination angle $\alpha$, (ii) the angular velocity $\omega$ and (iii) the precession rate $\Omega$ are studied. The influence of the mass of the disk and the friction between the disk and the supporting surface are considered. %The motions of disks with different masses and over different surfaces are studied. The inclination angle $\alpha$ and the angular velocity are observed to decrease according to a power law. We also show that the precession rate $\Omega$ diverges as the disk stops. Exponents are measured very near the collapse as well as on long range times. Collapsing times have been also measured. The results are compared with previous theoretical and experimental works. The major source of energy dissipation is found to be the slipping of the disk on the plane.Comment: Submitted for publication (2003) - 6page

An exact master equation for the system-reservoir dynamics under the strong coupling regime and non-Markovian dynamics

In this paper we present a method to derive an exact master equation for a bosonic system coupled to a set of other bosonic systems, which plays the role of the reservoir, under the strong coupling regime, i.e., without resorting to either the rotating-wave or secular approximations. Working with phase-space distribution functions, we verify that the dynamics are separated in the evolution of its center, which follows classical mechanics, and its shape, which becomes distorted. This is the generalization of a result by Glauber, who stated that coherent states remain coherent under certain circumstances, specifically when the rotating-wave approximation and a zero-temperature reservoir are used. We show that the counter-rotating terms generate fluctuations that distort the vacuum state, much the same as thermal fluctuations.Finally, we discuss conditions for non-Markovian dynamics

Effective properties of nonlinear inhomogeneous dielectrics

We develop a general procedure for estimating the effective constitutive behavior of nonlinear dielectrics. The procedure is based on a variational principle expressing the effective energy function of a given nonlinear composite in terms of the effective energy functions of the class of linear comparison composites. This provides an automatic procedure for converting well-known information for linear composites, in the form of estimates and bounds for their effective dielectric constants, into corresponding estimates and bounds for the effective behavior of nonlinear composites. Further, the procedure is easily implemented, and leads in some cases to exact results. This, exact estimates are given herein for isotropic weakly nonlinear composites with general nonlinearity, and bounds of the Hashin-Shtrikman type are given for the class of two-phase, isotropic dielectric composites with strongly and perfectly non-linear constitutive behavior. The optimality of the bounds is addressed briefly

Ictiologos de la Argentina: Raul Adolfo Ringuelet

This series will include all those people who, by means of their contributions, great and small, played a part in the consolidation of ichthyology in Argentina. The general plan of this work consists of individual factsheets containing a list of works by each author, along with reference bibliography and, whenever possible, personal pictures and additional material. The datasheets will be published primarily in chronological order, although this is subject to change by the availability of materials for successive editions. This work represents another approach for the recovery and revalorization of those who set the foundations of Argentine ichthyology while in diverse historical circumstances. I expect this to be the beginning of a major work that achieves the description of such a significant part of the history of natural sciences in Argentina

Mechanisms controlling global mean sea surface temperature determined from a state estimate

Author Posting. © American Geophysical Union, 2018. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Geophysical Research Letters 45 (2018): 3221-3227, doi:10.1002/2017GL076821.Global mean sea surface temperature ((T) over bar) is a variable of primary interest in studies of climate variability and change. The temporal evolution of (T) over bar) can be influenced by surface heat fluxes ((F) over bar)) and by diffusion ((D) over bar)) and advection ((A) over bar)) processes internal to the ocean, but quantifying the contribution of these different factors from data alone is prone to substantial uncertainties. Here we derive a closed (T) over bar) budget for the period 1993-2015 based on a global ocean state estimate, which is an exact solution of a general circulation model constrained to most extant ocean observations through advanced optimization methods. The estimated average temperature of the top (10-m thick) level in the model, taken to represent (T) over bar), shows relatively small variability at most time scales compared to (F) over bar), (D) over bar), or (A) over bar), reflecting the tendency for largely balancing effects from all the latter terms. The seasonal cycle in (T) over bar) is mostly determined by small imbalances between (F) over bar) and (D) over bar), with negligible contributions from (A) over bar). While (D) over bar) seems to simply damp (F) over bar) at the annual period, a different dynamical role for (D) over bar) at semiannual period is suggested by it being larger than (F) over bar). At periods longer than annual, (A) over bar) contributes importantly to (T) over bar) variability, pointing to the direct influence of the variable ocean circulation on (T) over bar) and mean surface climate. Plain Language Summary Global mean sea surface temperature (T) over bar) is a key metric when defining the Earth's climate. Determining what controls the evolution of (T) over bar )T is thus vital for understanding past climate variability and predicting its future evolution. Processes that control (T) over bar) involve forcing surface heat fluxes, as well as advection and diffusion of heat internal to the ocean, but their relative contributions are poorly known and difficult to assess from observations alone. Here we use advanced methods to combine models and data and derive a closed budget for (T) over bar) variability in terms of the forcing, advection, and diffusion processes. The estimated (T) over bar) shows relatively small variability compared to surface forcing, advection, or diffusion, reflecting the tendency for largely balancing effects from all the latter terms. The seasonal cycle in (T) over bar) is mostly determined by small imbalances between forcing and diffusion, with negligible contributions from advection. Diffusion does not always act as a simple damping of forcing surface fluxes, however. In addition, at periods longer than annual, advection contributes importantly to (T) over bar) variability. The results point to the direct influence of the variable ocean circulation on (T) over bar) and the Earth's surface climate.NSF Grant Number: PLR-15133962018-09-2

Ictiologos de la Argentina: Gladys Monasterio de Gonzo

This series will include all those people who, by means of their contributions, great and small, played a part in the consolidation of ichthyology in Argentina. The general plan of this work consists of individual factsheets containing a list of works by each author, along with reference bibliography and, whenever possible, personal pictures and additional material. The datasheets will be published primarily in chronological order, although this is subject to change by the availability of materials for successive editions. This work represents another approach for the recovery and revalorization of those who set the foundations of Argentine ichthyology while in diverse historical circumstances. I expect this to be the beginning of a major work that achieves the description of such a significant part of the history of natural sciences in Argentina

Intraseasonal sea level variability in the Persian Gulf

Author Posting. © American Meteorological Society, 2021. This article is posted here by permission of American Meteorological Society for personal use, not for redistribution. The definitive version was published in Journal of Physical Oceanography 51(5), (2021): 1687–1704, https://doi.org/10.1175/JPO-D-20-0296.1.Satellite observations are used to establish the dominant magnitudes, scales, and mechanisms of intraseasonal variability in ocean dynamic sea level (ζ) in the Persian Gulf over 2002–15. Empirical orthogonal function (EOF) analysis applied to altimetry data reveals a basinwide, single-signed intraseasonal fluctuation that contributes importantly to ζ variance in the Persian Gulf at monthly to decadal time scales. An EOF analysis of Gravity Recovery and Climate Experiment (GRACE) observations over the same period returns a similar large-scale mode of intraseasonal variability, suggesting that the basinwide intraseasonal ζ variation has a predominantly barotropic nature. A linear barotropic theory is developed to interpret the data. The theory represents Persian Gulf average ζ (¯ζ) in terms of local freshwater flux, barometric pressure, and wind stress forcing, as well as ζ at the boundary in the Gulf of Oman. The theory is tested using a multiple linear regression with these freshwater flux, barometric pressure, wind stress, and boundary ζ quantities as input and ¯ζ as output. The regression explains 70% ± 9% (95% confidence interval) of the intraseasonal ¯ζ variance. Numerical values of regression coefficients computed empirically from the data are consistent with theoretical expectations from first principles. Results point to a substantial nonisostatic response to surface loading. The Gulf of Oman ζ boundary condition shows lagged correlation with ζ upstream along the Indian subcontinent, Maritime Continent, and equatorial Indian Ocean, suggesting a large-scale Indian Ocean influence on intraseasonal ¯ζ variation mediated by coastal and equatorial waves and hinting at potential predictability. This study highlights the value of GRACE for understanding sea level in an understudied marginal sea.The authors acknowledge support from NASA through the Sea Level Change Team (Grant 80NSSC20K1241) and GRACE Follow-On Science Team (Grant 80NSSC20K0728). The authors appreciate comments from two anonymous reviewers that improved the manuscript