Thermodynamic stability of nanosized multicomponent bubbles/droplets: The square gradient theory and the capillary approach

Formation of nanosized droplets/bubbles from a metastable bulk phase is connected to many unresolved scientific questions. We analyze the properties and stability of multicomponent droplets and bubbles in the canonical ensemble, and compare with single-component systems. The bubbles/droplets are described on the mesoscopic level by square gradient theory. Furthermore, we compare the results to a capillary model which gives a macroscopic description. Remarkably, the solutions of the square gradient model, representing bubbles and droplets, are accurately reproduced by the capillary model except in the vicinity of the spinodals. The solutions of the square gradient model form closed loops, which shows the inherent symmetry and connected nature of bubbles and droplets. A thermodynamic stability analysis is carried out, where the second variation of the square gradient description is compared to the eigenvalues of the Hessian matrix in the capillary description. The analysis shows that it is impossible to stabilize arbitrarily small bubbles or droplets in closed systems and gives insight into metastable regions close to the minimum bubble/droplet radii. Despite the large difference in complexity, the square gradient and the capillary model predict the same finite threshold sizes and very similar stability limits for bubbles and droplets, both for single-component and two-component systems.

Empowering local democracy in Catalonia: tools and policy domains to implement a top-down solution

This article is the result of an ongoing research into a variety of features of Spanish local government. It aims, in particular, at providing a profile of the tools implemented by local authorities to improve local democracy in Catalonia. The main hypothesis of the work is that, even though the Spanish local model is constrained by a shared and unique set of legal regulations, local institutions in Catalonia have developed their own model of local participation. And the range of instruments like these is still now increasing. More specifically, the scope of this research is twofold. On the one hand, different types of instruments for public deliberation in the Catalan local administration system are identified and presented, based on the place they take in the policy cycle. On the other hand, we focus on policy domains and the quality of the decision-making processes. Researching the stability of the participation tools or whether local democracy prefers more 'ad hoc' processes allows us to analyze the boundaries/limits of local democracy in Catalonia. The main idea underlying this paper is that, despite the existence of a single legal model regulating municipalities in Catalonia, local authorities tend to use their legally granted selfmanagement capacities to design their own instruments which end up presenting perceivable distinct features, stressing democracy in different policy domains, and in diverse policy cycles. Therefore, this paper is intended to identify such models and to provide factors (variables) so that an explanatory model can be built.

Fronts with continuous waiting-time distributions: Theory and application to virus infections

We generalize to arbitrary waiting-time distributions some results which were previously derived for discrete distributions. We show that for any two waiting-time distributions with the same mean delay time, that with higher dispersion will lead to a faster front. Experimental data on the speed of virus infections in a plaque are correctly explained by the theoretical predictions using a Gaussian delay-time distribution, which is more realistic for this system than the Dirac delta distribution considered previously [J. Fort and V. Méndez, Phys. Rev. Lett.89, 178101 (2002)]

Vertical cultural transmission effects on demic front propagation: Theory and application to the Neolithic transition in Europe

It is shown that Lotka-Volterra interaction terms are not appropriate to describe vertical cultural transmission. Appropriate interaction terms are derived and used to compute the effect of vertical cultural transmission on demic front propagation. They are also applied to a specific example, the Neolithic transition in Europe. In this example, it is found that the effect of vertical cultural transmission can be important (about 30%). On the other hand, simple models based on differential equations can lead to large errors (above 50%). Further physical, biophysical, and cross-disciplinary applications are outlined

Gambling in Spain: update on experience, research and policy

AIMS: To describe the current situation of gambling in Spain, sketching its history and discussing the regulations and legislation currently in force within the framework of the European Union (EU), and to review the epidemiology of gambling in Spain, the self-help groups and professional treatments available, and their potential effectiveness. METHODS: A systematic computerized search was performed in three databases (EMBASE, PubMed and PsychINFO, including articles and chapters) and the reference lists from previous reviews to obtain some of the most relevant studies published up to now on the topic of pathologic gambling in Spain. RESULTS: Similar to other EU countries, Spain has a high prevalence of pathologic gambling, focused on specific culturally bounded types of gambling. Expenditure in online gaming has risen significantly in the last few years, prompting the Spanish government to draft new legislation to regulate gaming. CONCLUSIONS: The gaming industry is expected to be one of the fastest growing sectors in Spain in the coming years owing to the rise of new technologies and the development of online gaming