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∂2ω=0
Sep 2002
República de California
103×113 Posts |
Brightest supernova for 57 years hits peak tonight | Mail Online
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#2 | |||
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∂2ω=0
Sep 2002
República de California
101101011101112 Posts |
[I thought the topic of supernovae deserved its own thread, especially for the kind of more-involved physics discussion I hope to 'ignite' here.]
A few followups to the above post on the M101 supernova. This is SN of Type 1a. These are thought to occur when a white dwarf star slightly below the Chandrasekhar limit of ~1.4 solar masses accretes enough mass from its surroundings (typically from a close binary companion of more ordinary stellar type) to reach or approach the limit, at which point the core of the white dwarf begins to collapse due to electron degeneracy pressure no longer being able to counteract the star`s self-gravity, and the resulting rapid pressurization and heating leading to a runaway thermonuclear reaction - a kind of whole-star version of a hydrogen bomb, to use a crude analogy. Because the physics of such events is thought to be reasonably well-understood and the Chandrasekhar limit is thought to be identical for all stars irrespective of their evolutionary history and interior chemical composition, type 1a supernovae have come to be used as "standard candles" for gauging distance, a kind of cosmological-distance analog of the Cepheid variable. But if one reads the summary of the current consensus (such as it is) regarding type 1a supernovae, one should immediately question the "standard candle" claim: Quote:
This is important because a few years ago there was a headline-making study of very distant type 1a SN which - if one believed them to be valid standard candles - would imply that the expansion of the universe is in fact accelerating at large redshifts, which would imply that Einstein`s famous "cosmological constant" is nonzero. To its credit, the wikipage on standard candles acknowledges the problem: Quote:
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Of course on the flip side or the argument, if one believes type 1a interior chemistry to be non-negligible, one must explain how one could have explosive-yield-affecting chemistry which is not obviously apparent in the resulting SN spectroscopy and light curve. Perhaps this newest nearby supernova - which promises to be the most-studied one ever - will help answer some of these questions. And lastly, using the above "about 5 billion times brighter than the Sun" number we can derive a quick peak apparent visual magnitude estimate of the M101 supernova: 1. Sun is ~1/50,000 ly from earth, visual magnitude -27; 2. Supernova is ~21,000,000 ly from earth; So, ignoring light extinction via interstellar dust and such, the supernova should reach an apparent brightness of roughly 5000000000/(50000*21000000)^2 = 1/220,500,000,000,000 = 1/2.2e14 relative to the sun. Using that the logarithmic astronomical stellar magnitude is constructed so each factor 100 in relative brightness corresponds to a difference of 5 in magnitude, the supernova should reach a peak of 5*log(2.2)/log(100) = +36 magnitude versus the sun, meaning an apparent magnitude +9, which should be barely visible in a pair of 35-50mm binoculars, and nicely visible in a telescope of 4" (100mm) diameter and up. Every 2.5x attenuation of the supernova brightness will add one to the visual magnitude estimate, so a 2.5-fold dimming due to intervening dust would make the peak magnitude 10. |
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#3 |
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(loop (#_fork))
Feb 2006
Cambridge, England
144238 Posts |
I think that the non-zero cosmological constant also emerges from analyses of the cosmic microwave background, though it looks as if the statistics are a bit fiddly - they work better if you use a prior distribution on H_0, but there are a few independent ways of getting that (Cepheids and the Sunyaev-Zeldovich effect)
http://arxiv.org/pdf/astro-ph/0403509v1 suggests that the carbon-to-oxygen ratio in the progenitor (which is the obvious chemistry that might be different in the earlier universe) doesn't make much difference to the amount of nickel produced in the explosion, and it's the nickel which produces the light peak. |
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#4 | |
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∂2ω=0
Sep 2002
República de California
103·113 Posts |
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As to specifics: They do indeed find that total energy output of the SN is significantly variable with C/O ratio of the WD progenitor ... but as you note, their simulations indicate that the resulting peak brightness resulting mainly from decay of radioactive 56Ni is relatively insensitive to the explosion-energy variation. That elicits a "hmmm....." ... but their numerical simulations are of sufficiently poor resolution that it raises a big red flag. 2 obvious points: 1. Any modern high-end numerical simulation of such complex 3-D physics involving a huge range of spatiotemporal scales (any time you have turbulence and flame and/or shock fronts you get this issue) cries out for use of locally adaptive meshing (dynamically adding more grid points/cells in regions of steepening local gradients in order to maintain decent numerical resolution.) This has become more-or-less standard over the past 2 decades in high-resolution computational fluid dynamics - the Michigan AeroE department where I dd my PhD had a very active research group in this area. 2. Even if your code does not support [1], you *must* provide data showing how sensitive your results are to the grid resolution! (I.e. your numerical results must be shown to be "mesh independent".) The authors say they ran on a 256^3 spatial grid ... fine, now do at least one run on a finer (or coarser) mesh and compare the results to see how much the major conclusions change. If the authors here did such a convergence test they fail to mention it. That is so basic when numerical simulation is concerned that it leaves me very dubious about inferring physics from the numerical results. Still a good find as far as sparking discussion, though. Last fiddled with by ewmayer on 2011-09-13 at 00:42 |
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