Discovering Asymmetric Dark Matter with Anti-Neutrinos

We discuss possible signatures of Asymmetric Dark Matter (ADM) through dark matter decays to neutrinos. We specifically focus on scenarios in which the Standard Model (SM) baryon asymmetry is transferred to the dark sector (DS) through higher dimensional operators in chemical equilibrium. In such cases, the dark matter (DM) carries lepton and/or baryon number, and we point out that for a wide range of quantum number assignments, by far the strongest constraints on dark matter decays come from decays to neutrinos through the "neutrino portal" operator HL. Together with the facts that ADM favors lighter DM masses ~ a few GeV and that the decays would lead only to anti-neutrinos and no neutrinos (or vice versa), the detection of such decays at neutrino telescopes would provide compelling evidence for ADM. We discuss current and future bounds on models where the DM decays to neutrinos through operators of dimension <= 6. For dimension 6 operators, the scale suppressing the decay is bounded to be >~ 10^12 - 10^13 GeV.Comment: 20 pages, 1 figur

Subwavelength localized modes for acoustic waves in bubbly crystals with a defect

The ability to control wave propagation is of fundamental interest in many areas of physics. Photonic and phononic crystals have proved very useful for this purpose but, because they are based on Bragg interference, these artificial media require structures with large dimensions. In [Ammari et al., Subwavelength phononic bandgap opening in bubbly media, J. Diff. Eq., 263 (2017), 5610--5629], it has been proved that a subwavelength bandgap opening occurs in bubbly phononic crystals. To demonstrate the opening of a subwavelength phononic bandgap, a periodic arrangement of bubbles is considered and their subwavelength Minnaert resonance is exploited. In this paper, this subwavelength bandgap is used to demonstrate cavities, very similar to those obtained in photonic and phononic crystals, albeit of deeply subwavelength dimensions. The key idea is to perturb the size of a single bubble inside the crystal, thus creating a defect. The goal is then to analytically and numerically show that this crystal has a localized eigenmode close to the defect bubble.Comment: 19 pages, 4 figures, typos corrected, added argument to account for dilute regim

Sub-wavelength focusing of acoustic waves in bubbly media

The purpose of this paper is to investigate acoustic wave scattering by a large number of bubbles in a liquid at frequencies near the Minnaert resonance frequency. This bubbly media has been exploited in practice to obtain super-focusing of acoustic waves. Using layer potential techniques we derive the scattering function for a single spherical bubble excited by an incident wave in the low frequency regime. We then derive the point scatter approximation for multiple scattering by N bubbles. We describe several numerical experiments based on the point scatterer approximation that demonstrate the possibility of achieving super-focusing using bubbly media.Comment: 17 pages, 8 figure

MediaCommons: Social Networking Tools for Digital Scholarly Communication

New York University, working with the Institute for the Future of the Book, seeks Level II funding in order build a working prototype of a set of networking tools that will serve as the membership system for MediaCommons, an all-electronic scholarly publishing network in the digital humanities. This set of tools, which one might imagine as bringing together the functionalities of e-portfolio software, social networking systems, and electronic publishing platforms, will enable the users of MediaCommons to find one another, collaborate, and disseminate their work in new ways. Within this social network, scholars would be able to make available a wide range of their work, including published texts ranging from the monograph to the article, works-in-progress, blogs and other more informal online writing, and other activities that often go unnoticed as forms of scholarly production, such as reviews of other scholars' work, as well as syllabi and other teaching resources

Subwavelength resonances of encapsulated bubbles

The aim of this paper is to derive a formula for the subwavelength resonance frequency of an encapsulated bubble with arbitrary shape in two dimensions. Using Gohberg-Sigal theory, we derive an asymptotic formula for this resonance frequency, as a perturbation away from the resonance of the uncoated bubble, in terms of the thickness of the coating. The formula is numerically verified in the case of circular bubbles, where the resonance can be efficiently computed using the multipole method.Comment: 19 pages, 3 figure