Linear and nonlinear thermal instability of Newtonian and non-Newtonian fluid saturated porous media

The present work aims to investigate the influence of different aspects, such as non-standard steady solutions, complex fluid rheologies and non-standard porous-channel geometries, on the stability of a Darcy-Bénard system. In order to do so, both linear and nonlinear stability theories are considered. A linear analysis focuses on studying the dynamics of the single disturbance wave present in the system, while its nonlinear counterpart takes into consideration the interactions among the single modes. The scope of the stability analysis is to obtain information regarding the transition from an equilibrium solution to another one, and also information regarding the transition nature and the emergent solution after the transition. The disturbance governing equations are solved analytically, whenever possible, and numerical by considering different approaches. Among other important results, it is found that a cylinder cross-section does not affect the thermal instability threshold, but just the linear pattern selection for dilatant and pseudoplastic fluid saturated porous media. A new rheological model is proposed as a solution for singular issues involving the power-law model. Also, a generalised class of one parameter basic solutions is proposed as an alternative description of the isoflux Darcy--Bénard problem. Its stability is investigated.

New indicators of star cluster dynamical evolution

This thesis presents a study of globular clusters (GCs), based on analysis of Monte Carlo simulations of globular clusters (GCs) with the aim to define new empirical parameters measurable from observations and able to trace the different phases of their dynamical evolution history. During their long term dynamical evolution, due to mass segregation and and dynamical friction, massive stars transfer kinetic energy to lower-mass objects, causing them to sink toward the cluster center. This continuous transfer of kinetic energy from the core to the outskirts triggers the runaway contraction of the core, known as "core collapse" (CC), followed by episodes of expansion and contraction called gravothermal oscillations. Clearly, such an internal dynamical evolution corresponds to significant variations also of the structure of the system. Determining the dynamical age of a cluster can be challenging as it depends on various internal and external properties. The traditional classification of GCs as CC or post-CC systems relies on detecting a steep power-law cusp in the central density profile, which may not always be reliable due to post-CC oscillations or other processes. In this thesis, based on the normalized cumulative radial distribution (nCRD) within a fraction of the half-mass radius is analyzed, and three diagnostics (A5, P5, and S2.5) are defined. These diagnostics show sensitivity to dynamical evolution and can distinguish pre-CC clusters from post-CC clusters.The analysis performed using multiple simulations with different initial conditions, including varying binary fractions and the presence of dark remnants showed the time variations of the diagnostics follow distinct patterns depending on the binary fraction and the retention or ejection of black holes. This analysis is extended to a larger set of simulations matching the observed properties of Galactic GCs, and the parameters show a potential to distinguish the dynamical stages of the observed clusters as well.

Gyrokinetic modelling of plasma transport and investigation on test particle dynamics

Turbulent plasmas inside tokamaks are modeled and studied using guiding center theory, applied to charged test particles, in a Hamiltonian framework. The equations of motion for the guiding center dynamics, under the conditions of a constant and uniform magnetic field and turbulent electrostatic field are derived by averaging over the fast gyroangle, for the first and second order in the guiding center potential, using invertible changes of coordinates such as Lie transforms. The equations of motion are then made dimensionless, exploiting temporal and spatial periodicities of the model chosen for the electrostatic potential. They are implemented numerically in Python. Fast Fourier Transform and its inverse are used. Improvements to the original Python scripts are made, notably the introduction of a power-law curve fitting to account for anomalous diffusion, the possibility to integrate the equations in two steps to save computational time by removing trapped trajectories, and the implementation of multicolored stroboscopic plots to distinguish between trapped and untrapped guiding centers. The post-processing of the results is made in MATLAB. The values and ranges of the parameters chosen for the simulations are selected based on numerous simulations used as feedback tools. In particular, a recurring value for the threshold to detect trapped trajectories is evidenced. Effects of the Larmor radius, the amplitude of the guiding center potential and the intensity of its second order term are studied by analyzing their diffusive regimes, their stroboscopic plots and the shape of guiding center potentials. The main result is the identification of cases anomalous diffusion depending on the values of the parameters (mostly the Larmor radius). The transitions between diffusive regimes are identified. The presence of highways for the super-diffusive trajectories are unveiled. The influence of the charge on these transitions from diffusive to ballistic behaviors is analyzed.

Gravitational waves as dark sirens: an astrophysical and cosmological analysis

Despite the success of the ΛCDM model in describing the Universe, a possible tension between early- and late-Universe cosmological measurements is calling for new independent cosmological probes. Amongst the most promising ones, gravitational waves (GWs) can provide a self-calibrated measurement of the luminosity distance. However, to obtain cosmological constraints, additional information is needed to break the degeneracy between parameters in the gravitational waveform. In this thesis, we exploit the latest LIGO-Virgo-KAGRA Gravitational Wave Transient Catalog (GWTC-3) of GW sources to constrain the background cosmological parameters together with the astrophysical properties of Binary Black Holes (BBHs), using information from their mass distribution. We expand the public code MGCosmoPop, previously used for the application of this technique, by implementing a state-of-the-art model for the mass distribution, needed to account for the presence of non-trivial features, i.e. a truncated power law with two additional Gaussian peaks, referred to as Multipeak. We then analyse GWTC-3 comparing this model with simpler and more commonly adopted ones, both in the case of fixed and varying cosmology, and assess their goodness-of-fit with different model selection criteria, and their constraining power on the cosmological and population parameters. We also start to explore different sampling methods, namely Markov Chain Monte Carlo and Nested Sampling, comparing their performances and evaluating the advantages of both. We find concurring evidence that the Multipeak model is favoured by the data, in line with previous results, and show that this conclusion is robust to the variation of the cosmological parameters. We find a constraint on the Hubble constant of H0 = 61.10+38.65−22.43 km/s/Mpc (68% C.L.), which shows the potential of this method in providing independent constraints on cosmological parameters. The results obtained in this work have been included in [1].

Determination of relative power distributions in CANEL critical assemblies using catcher foil techniques /

"Contract AT(30-1)-2789."

Optimum power allocation for parallel Gaussian channels with arbitrary input distributions

The mutual information of independent parallel Gaussian-noise channels is maximized, under an average power constraint, by independent Gaussian inputs whose power is allocated according to the waterfilling policy. In practice, discrete signalling constellations with limited peak-to-average ratios (m-PSK, m-QAM, etc) are used in lieu of the ideal Gaussian signals. This paper gives the power allocation policy that maximizes the mutual information over parallel channels with arbitrary input distributions. Such policy admits a graphical interpretation, referred to as mercury/waterfilling, which generalizes the waterfilling solution and allows retaining some of its intuition. The relationship between mutual information of Gaussian channels and nonlinear minimum mean-square error proves key to solving the power allocation problem.

The Social Power of Bodin's 'Sovereignty' and International Law

The word ‘sovereignty’ provides a forceful example of the social power of language as an organic instrument playing a leading role in the continuous and continuing process of creating and transforming human reality. The paper examines a pivotal episode in the history of the word ‘sovereignty’ — its formal introduction in the 16th century by Jean Bodin in his Six Livres de la Republique. It focuses on the social effects ‘sovereignty’ has had on the shared consciousness of humanity, including that of the international community. The proposed metalogical inquiry adopts a method that draws from the hermeneutic school of historical knowledge. The argument is that Bodin used ‘sovereignty’ for the purpose of attributing to the ruler (the French king) supreme power in the hierarchical organisational structure of society. This idea of a pyramid of authority is found in different elements of the discourse in Six Livres de la Republique, which is examined in the immediate context of Bodin’s personal background as well as the extended social, political and intellectual context of 16th century France. The conclusion shows that Bodin’s work was the first seminal step in the development of contemporary ideas of ‘internal sovereignty’ and ‘external sovereignty’. It is thus part of the history of the true power that the word at hand has exercised in framing the international state system and hence the international legal system.

Law and the power of feminism: how marriage lost its power to oppress women

In Feminism and the Power of Law Carol Smart argued that feminists should use non-legal strategies rather than looking to law to bring about women’s liberation. This article seeks to demonstrate that, as far as marriage is concerned, she was right. Statistics and contemporary commentary show how marriage, once the ultimate and only acceptable status for women, has declined in social significance to such an extent that today it is a mere lifestyle choice. This is due to many factors, including the ‘sexual revolution’ of the 1960s, improved education and job opportunities for women, and divorce law reform, but the catalyst for change was the feminist critique that called for the abandonment (rather than the reform) of the institution and made the unmarried state possible for women. I conclude that this loss of significance has been more beneficial to British women in terms of the possibility of ‘liberation’ than appeals for legal change and recognition, and that we should continue to be wary of looking to law to solve women’s problems.

Shared parenting, law and policy: considering power within the framework of autopoietic theory

This paper uses the last few decades’ developments in the area of shared parenting to explore power within the framework of autopoietic theory. It traces how, prompted by turbulence from the political subsystem, family law has made several unsuccessful attempts to solve the perceived problem of post-separation dual-household parenting. It agrees with Luhmann and Teubner that closed autopoietic systems’ developments are limited by their normative and cognitive frameworks, and also argues that changes, which have occurred in family law, show that closed social systems do not function in total isolation. It considers power as ego’s ability to limit alter’s choices. In our functionally differentiated society, with its recent proliferation of communication, power appears more diffuse and impossible to plot into causal one-way relationships.

Testing projected wild bee distributions in agricultural habitats: predictive power depends on species traits and habitat type

Species distribution models (SDM) are increasingly used to understand the factors that regulate variation in biodiversity patterns and to help plan conservation strategies. However, these models are rarely validated with independently collected data and it is unclear whether SDM performance is maintained across distinct habitats and for species with different functional traits. Highly mobile species, such as bees, can be particularly challenging to model. Here, we use independent sets of occurrence data collected systematically in several agricultural habitats to test how the predictive performance of SDMs for wild bee species depends on species traits, habitat type, and sampling technique. We used a species distribution modeling approach parametrized for the Netherlands, with presence records from 1990 to 2010 for 193 Dutch wild bees. For each species, we built a Maxent model based on 13 climate and landscape variables. We tested the predictive performance of the SDMs with independent datasets collected from orchards and arable fields across the Netherlands from 2010 to 2013, using transect surveys or pan traps. Model predictive performance depended on species traits and habitat type. Occurrence of bee species specialized in habitat and diet was better predicted than generalist bees. Predictions of habitat suitability were also more precise for habitats that are temporally more stable (orchards) than for habitats that suffer regular alterations (arable), particularly for small, solitary bees. As a conservation tool, SDMs are best suited to modeling rarer, specialist species than more generalist and will work best in long-term stable habitats. The variability of complex, short-term habitats is difficult to capture in such models and historical land use generally has low thematic resolution. To improve SDMs’ usefulness, models require explanatory variables and collection data that include detailed landscape characteristics, for example, variability of crops and flower availability. Additionally, testing SDMs with field surveys should involve multiple collection techniques.

Likelihood-based inference for power distributions

This paper considers likelihood-based inference for the family of power distributions. Widely applicable results are presented which can be used to conduct inference for all three parameters of the general location-scale extension of the family. More specific results are given for the special case of the power normal model. The analysis of a large data set, formed from density measurements for a certain type of pollen, illustrates the application of the family and the results for likelihood-based inference. Throughout, comparisons are made with analogous results for the direct parametrisation of the skew-normal distribution.

Saving the Monopsony: Exclusivity, Innovation and Market Power in the Media Sector. Research Papers in Law, 7/2006

From the Introduction. The Media Sector has experienced a technological revolution in the last 15 years. Digital encoding of television signals made possible a more efficient use of the radiospectrum. Digital terrestrial television (hereinafter, “DTT”) allows now for the reception of a significant number of free-to-air channels.1 Moreover, the use of new transmission platforms (hereinafter,“platforms”), namely cable and direct-to-home satellite (hereinafter, “DTH”) paved the way for the arrival in Europe of pay-TV operators, which finance their activities mainly via subscription fees. This changing technological landscape is subject to further evolution in the near future, as incumbent telecommunications operators become increasingly interested in making available broadcasting content2 as part of their broadband offer and 3G mobile handsets can be used for the reception of TV signals....The present paper seeks to ascertain whether the Commission “regulatory approach” towards the exclusive sale of premium content is a sound one, in particular in view of the constant technological evolution outlined above. The assumptions underlying landmark Commission decisions will be compared with recent developments of the media sector in Italy. In the NewsCorp./Telepiù case, decided in 2003, the Commission imposed very strict conditions to allow the merger giving birth to Sky Italia, on the assumption that the operation created a lasting near-monopsony in the different upstream markets for the acquisition of premium intervened against the media conglomerate Mediaset (which controls, inter alia, the main three private free-to-air channels in Italy) for an alleged abuse of dominant position.17 In fact, and contrary to the forecasts made by the Commission, Mediaset was in a position to acquire the broadcasting rights of the main Italian football teams, thereby excluding the incumbent (and near-monopolist) pay-TV operator, Sky Italia. This may go to show that the reality of the sector is more complex and evolves faster than one may infer from the Commission practice, thus putting into question its stance regarding exclusivity. The experience of the evolution of the Italian media sector will be used as the starting point for the evaluation of alternative regulatory options.

Russell on the power and duty of an arbitrator and the law of submissions and awards : and references under order of court, with an appendix of forms, precedents, and statutes.

Mode of access: Internet.

Analysis of probability distributions and power spectra of time histories of maneuvering flight.

"Bureau of Naval Weapons Contract Noa(s) 60-6114-c."