Co-existence of tetragonal and monoclinic phases and multiferroic properties for x⩽0.30 in the (1 − x)Pb(Zr0.52Ti0.48)O3–(x)BiFeO3 system (original) (raw)

The convergence of the iterative solutions of the transport equations of cosmic muon and tau neutrinos propagating through Earth is studied and analyzed. For achieving a fast convergence of the iterative solutions of the coupled transport equations of ν τ , ντ and the associated τ ± fluxes, a new semi-analytic input algorithm is presented where the peculiar τ -decay contributions are implemented already in the initial zeroth order input. Furthermore, the common single transport equation for muon neutrinos is generalized by taking into account the contributions of secondary ν µ and νµ fluxes due to the prompt τ -decay τ → ν µ initiated by the associated tau flux. Differential and total nadir angle integrated upward-going µ -+ µ + event rates are presented for underground neutrino telescopes and compared with the muon rates initiated by the primary ν µ , ν τ and τ fluxes.