A growing subset of Type Ia supernovae (SNe Ia) show evidence for unexpected\ninteraction with a dense circumstellar medium (SNe Ia-CSM). The precise nature\nof the progenitor, however, remains debated owing to spectral ambiguities\narising from a strong contribution from the CSM interaction. Late-time spectra\noffer potential insight if the post-shock cold, dense shell becomes\nsufficiently thin and/or the ejecta begin to cross the reverse shock. To date,\nfew high-quality spectra of this kind exist. Here we report on the late-time\noptical and infrared spectra of the SNe~Ia-CSM 2012ca and 2013dn. These SNe\nIa-CSM spectra exhibit low [Fe III]/[Fe II] ratios and strong [Ca II] at late\nepochs. Such characteristics are reminiscent of the super-Chandrasekhar-mass\n(SC) candidate SN 2009dc, for which these features suggested a low-ionisation\nstate due to high densities, although the broad Fe features admittedly show\nsimilarities to the blue "quasi-continuum" observed in some core-collapse SNe\nIbn and IIn. Neither SN 2012ca nor any of the other SNe Ia-CSM show evidence\nfor broad oxygen, carbon, or magnesium in their spectra. Similar to the\ninteracting Type IIn SN 2005ip, a number of high-ionisation lines are\nidentified in SN 2012ca, including [S III], [Ar III], [Ar X], [Fe VIII], [Fe\nX], and possibly [Fe XI]. The total bolometric energy output does not exceed\n10^51 erg, but does require a large kinetic-to-radiative conversion efficiency.\nAll of these observations taken together suggest that SNe Ia-CSM are more\nconsistent with a thermonuclear explosion than a core-collapse event, although\ndetailed radiative transfer models are certainly necessary to confirm these\nresults.\n
In this letter we illustrate three methods of using nonlinear devices as sensors. We show that the sensory features of these devices is a result of sensitive dependence on parameters which we show is equivalent to sensitive dependence on initial conditions. As a result, we conjecture that sensitive dependence on initial conditions is nature’s sensory device in cases where remarkable feats of sensory perception are seen.
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Abstract: The problem of plastic spin is phrased in terms of a notion of mechanical equivalence among local relaxed configurations of an elastic/plastic crystalline solid. This idea is used to show that, without further qualification, the plastic spin may be suppressed at the constitutive level. However, the spin is closely tied to an underlying undistorted crystal lattice which, once specified, eliminates the freedom afforded by mechanical equivalence. As a practical matter a constitutive specification of plastic spin is therefore required. Suppression of plastic spin thus emerges as merely one such specification among many. Restrictions on these are derived in the case of rate-independent response. 1.