We consider a family of nonlocal capillarity models, where surface tension is modeled by exploiting the family of fractional interaction kernels |z|−n−s, with s ∈ (0, 1) and n the dimension of the ambient space. The fractional Young’s law (contact angle condition) predicted by these models coincides, in the limit as s → 1−, with the classical Young’s law determined by the Gauss free energy. Her...

In order to understand the transmission of a disease across a population we will have to understand not only the dynamics of contact infection but the transfer of health-care beliefs and resulting health-care behaviors across that population. This paper is a first step in that direction, focusing on the contrasting role of linkage or isolation between sub-networks in (a) contact infection and (...

The Unitary Fermi Gas (UFG) is one of the most strongly interacting systems known to date, as it saturates the unitarity bound on the quantum mechanical scattering cross section. The UFG corresponds to a two-component Fermi gas in the limit of short interaction range and large scattering length, and is currently realized in ultracold-atom experiments via Feshbach resonances. While easy to defin...

Contact dermatitis can affect dentists, orthodontists, technicians, nurses and the patients. The increase of dental patients in recent years caused an increase in reports of dermatitis and other allergies in patients and in dentists too. With changes in dental materials through years, allergy and contact reactions in persons in contact with new allergens had been increased. So dentists and derm...

We consider how to break the near degeneracy between dark matter and baryonic MOdified Newtonian Dynamics (MOND). We show that the Roche Lobes of a two-body baryonic system (e.g., a globular cluster orbiting a host galaxy) are sensitive to modifications of the law of gravity. We generalise the analytical results obtained in the deep-MOND limit by Zhao (2005, astro-ph/0511713), consider in the f...

Critical, or scale independent, systems are so ubiquitous, that gaining theoretical insights on their nature and properties has many direct repercussions in social and natural sciences. In this report, we start from the simplest possible growth model for critical systems and deduce constraints in their growth : the well-known preferential attachment principle, and, mainly, a new law of temporal...

In this paper we study the filtration laws for the polymeric flow in a porous medium. We use the quasi-Newtonian models with share dependent viscosity obeying the power-law and the Carreau’s law. Using the method of homogenization in [5] the coupled micro-macro homogenized law, governing the quasi-newtonian flow in a periodic model of a porous medium, was found. We decouple that law separating ...

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