Observations of atmospheric neutrinos by the SuperKamiokande collaboration have demonstrated large mixing of the muon-neutrino. However the present atmospheric neutrino data does not significantly constrain the associated mixing of the electron-neutrino, or the sign of the mass-squared difference. Here we identify the diagnostics for these quantities and they also test the theory of how matter ...

Recent numerical results show that if a scalar is mixed by periodically forced turbulence, the average mixing rate is directly affected for forcing frequencies small compared to the integral turbulence frequency. We elucidate this by an analytical study using simple turbulence models for spectral transfer. Adding a large amplitude modulation to the forcing of the velocity field enhances the ene...

Matter effects in neutrino propagation translate into effective parameters for the oscillation and fake CPand CPT-odd quantities, even in a scenario, such as ∆12 = 0, where no genuine CP violation is present. This fact seems to impose severe restrictions on the determination of intrinsic parameters of the system from long-baseline experiments. We show, however, that the resonance in the effecti...

We show bounds on total variation and L∞ mixing times, spectral gap and magnitudes of the complex valued eigenvalues of a general (non-reversible non-lazy) Markov chain with a minor expansion property. This leads to the first known bounds for the non-lazy simple and max-degree walks on a (directed) graph, and even in the lazy case they are the first bounds of the optimal order. In particular, i...

We consider problems of mixing in fluid flows and show how the methods of dynamical systems may be used in the analysis of these problems. In particular, we consider the problem of passive scalar mixing in incompressible fluid flows and decompose the problem into three stages as follows. The first problem is to express the desired quantities (reactant consumption rate .... ) in terms of statist...

We present statistics for the structure and time evolution of a network constructed from user activity in an Internet community. The vastness and precise time resolution of an Internet community offers unique possibilities to monitor social network formation and dynamics. Time evolution of well-known quantities, such as clustering, mixing (degree–degree correlations), average geodesic length, d...

We determine the possible values of the effective Majorana neutrino mass |〈m〉| = |∑j U2 ejmj| in the different phenomenologically viable three and four-neutrino scenarios. The quantities Uαj (α = e, μ, τ, . . .) denote the elements of the neutrino mixing matrix and the Majorana neutrino masses mj ∗Also at: Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, BG-1784,...

We review and update the constraints on the parameters of the quark avour mixing matrix VCKM in the standard model and estimate the resulting CP asymmetries in B decays, taking into account recent experimental and theoretical developments. In performing our ts, we use inputs from the measurements of the following quantities: (i) j j, the CP-violating parameter in K decays, (ii) Md, the mass di ...

To improve the understanding of how static mixers work and how to better utilize them in environmental engineering ~or, specifically, drinking water treatment!, a numerical model for simulating turbulent flows in helical static mixers is developed. The model solves the three-dimensional, Reynolds-averaged Navier-Stokes equations, closed with the k-v turbulence model, using a second-orderaccurat...