Created
September 19, 2012 21:17
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IMF
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{ | |
"metadata": { | |
"name": "IMF Massive Stars" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "from agpy import imf\nfigsize(12,8)", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": "reg_gal2cel requires coords & pyregion\nRegion Photometry requires pyregion" | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": "\ncubes.py requires pyregion for getspec_reg" | |
}, | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": "\ncubes.py requires pywcs for some subimage_integ,aper_wordl2pix,getspec, and coords_in_image\n" | |
} | |
], | |
"prompt_number": 1 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "# From a Schecter mass function with some cutoff, generate a collection of clusters\n# Then, determine whether \"most\" massive stars are in massive clusters or if they're evenly distributed with mass\nmrange = logspace(1,5,1000) # from 10 msun to million msun clusters\nschec = imf.modified_schechter(mrange,m0=1e4,m1=100) # cutoff at low mass\nfigure()\nloglog(mrange,schec,label=\"Modified Schecter $m_1=10^2$, $m_0=10^4$\")\nloglog(mrange,imf.schechter(mrange,m0=1e5),label=\"Schecter $m_0=10^5$\")\nloglog(mrange,imf.schechter(mrange,m0=1e4),label=\"Schecter $m_0=10^4$\")\nxlabel(\"Cluster Mass\")\nylabel(\"Fractional Number of Clusters\")\nlegend(loc='best')", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 2, | |
"text": "<matplotlib.legend.Legend at 0x10e81b950>" | |
}, | |
{ | |
"output_type": "display_data", | |
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EKIXkmiKEAKn5FuKJdCub0HziIupdvIPODxuxuHIX8+aehLe0Zv83n5GVnant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O+aOnWqduzYoZ07d7pmse86efKkJk+erLi4OJ06dUpnz56VJCUmJio9PV2ff/65nnjiCUnSqFGj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\nWITwDQAAAFiE8A0AAABY5H8B1NzseN05flwAAAAASUVORK5CYII=\n" | |
} | |
], | |
"prompt_number": 2 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "nclusters = 50000\nclusters = []\nobcount = []\nocount = []\nmclusters = []\nfor rn in np.random.rand(nclusters):\n mcluster = imf.inverse_imf(rn, massfunc=imf.modified_schechter, mmax=1e7, mmin=10, m1=100, m0=1e5)\n cluster = imf.make_cluster(mcluster, silent=True)\n obcount.append((cluster>8).sum())\n ocount.append((cluster>20).sum())\n mclusters.append(mcluster)\n clusters.append(cluster)", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 3 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "close(1)\nfigure(1,figsize=(18,10)); clf()\nplot(sort(mclusters),np.cumsum(np.array(obcount)[argsort(mclusters)])/1./np.sum(obcount),'.',label=\"$M_0=10^5$ OB Mod Schec\")\nplot(sort(mclusters),np.cumsum(np.array(ocount)[argsort(mclusters)])/1./np.sum(ocount),'.',label=\"$M_0=10^5$ O Mod Schec\")\nsemilogx(sort(mclusters),np.array(mclusters)*0+0.5,'r--')\nxlabel(\"Cluster Mass $M_i$\")\nylabel(\"Fraction of Clusters with $M<M_i$\")", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 4, | |
"text": "<matplotlib.text.Text at 0x10e71b5d0>" | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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CGls/AAAAADRy003Su+9KirZLM1KkjtWNxiMsEfrXf/2LlRQATLH1AwAAAECbsdul1avl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\ncMyoAIAQ4cuQYn7/+ZrWY5obVQEAAADexYwKAAhy3bs7Dik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| |
} | |
], | |
"prompt_number": 4 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "imf.inverse_imf(0.99, massfunc=imf.modified_schechter, m1=100, m0=1e5, mmin=10, mmax=1e7)", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 5, | |
"text": "7619.788265653388" | |
} | |
], | |
"prompt_number": 5 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "max(mclusters)", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 6, | |
"text": "311567.90346958087" | |
} | |
], | |
"prompt_number": 6 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "np.cumsum(obcount)", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 7, | |
"text": "array([ 1, 1, 1, ..., 307506, 307506, 307594])" | |
} | |
], | |
"prompt_number": 7 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "argsort(mclusters)", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 8, | |
"text": "array([40808, 22411, 41334, ..., 23973, 21675, 31040])" | |
} | |
], | |
"prompt_number": 8 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "nclusters = 50000\nSclusters = []\nSobcount = []\nSocount = []\nSmclusters = []\nfor rn in np.random.rand(nclusters):\n mcluster = imf.inverse_imf(rn, massfunc='schechter', mmax=1e7, mmin=10, m0=1e5)\n cluster = imf.make_cluster(mcluster, silent=True)\n Sobcount.append((cluster>8).sum())\n Socount.append((cluster>20).sum())\n Smclusters.append(mcluster)\n Sclusters.append(cluster)", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 9 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "fig = figure(1)\nplot(sort(Smclusters),np.cumsum(np.array(Sobcount)[argsort(Smclusters)])/1./np.sum(Sobcount),'.',label=\"$M_0=10^5$ OB Schechter\")\nplot(sort(Smclusters),np.cumsum(np.array(Socount)[argsort(Smclusters)])/1./np.sum(Socount),'.',label=\"$M_0=10^5$ O Schechter\")\nlegend(loc='best')", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 10, | |
"text": "<matplotlib.legend.Legend at 0x19f9b3810>" | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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NGsWwYcNYvnw5p06dorCwkD179tRp7qNGjSIwMJBnnnmGjIwMSkpKOHLkCAcO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tvatbt2e9LOj3bWF/VfuO371dIbwwsAAAA78bhGRWNjo6qrq9WzZ09J0tGjR/XJJ58oPz/fkgKN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\nFQAAAABJRU5ErkJggg==\n" | |
} | |
], | |
"prompt_number": 10 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "nclusters = 50000\nS4clusters = []\nS4obcount = []\nS4ocount = []\nS4mclusters = []\nfor rn in np.random.rand(nclusters):\n mcluster = imf.inverse_imf(rn, massfunc='schechter', mmax=1e6, mmin=10, m0=1e4)\n cluster = imf.make_cluster(mcluster, silent=True)\n S4obcount.append((cluster>8).sum())\n S4ocount.append((cluster>20).sum())\n S4mclusters.append(mcluster)\n S4clusters.append(cluster)", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 11 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "fig = figure(1)\nplot(sort(S4mclusters),np.cumsum(np.array(S4obcount)[argsort(S4mclusters)])/1./np.sum(S4obcount),'.',label=\"$M_0=10^4$ OB Schechter\")\nplot(sort(S4mclusters),np.cumsum(np.array(S4ocount)[argsort(S4mclusters)])/1./np.sum(S4ocount),'.',label=\"$M_0=10^4$ O Schechter\")\nlegend(loc='best')", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 12, | |
"text": "<matplotlib.legend.Legend at 0x10e7fead0>" | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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y8gAwxcdLb4oOpjqLYvFiMOcq8Os0zLkKBsPtLIkaPSdUM+sG/qppfbXSj0KI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\nB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QrRT0VrXxSA1tZS4bjROBuTJv0JQUFGjSvqBkkC/v3fgVmzgGzBSRAhIe4tHyqqkCS0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| |
} | |
], | |
"prompt_number": 12 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "sum(S4mclusters)", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 13, | |
"text": "3125486.249456272" | |
} | |
], | |
"prompt_number": 13 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "# this scenario is where the smallest cluster is a single star, so the exponential turnover is at 1 msun, and the minimum cluster mass is 0.1 msun\n# need to go to larger numbers for this one, of course\nnclusters = 100000\nallclusters = []\nallobcount = []\nallocount = []\nallmclusters = []\nfor rn in np.random.rand(nclusters):\n mcluster = imf.inverse_imf(rn, massfunc=imf.modified_schechter, mmax=1e8, mmin=0.1, m0=1e4, m1=1)\n cluster = imf.make_cluster(mcluster, silent=True)\n allobcount.append((cluster>8).sum())\n allocount.append((cluster>20).sum())\n allmclusters.append(mcluster)\n allclusters.append(cluster)", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 14 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "fig = figure(1)\nplot(sort(allmclusters),np.cumsum(np.array(allobcount)[argsort(allmclusters)])/1./np.sum(allobcount),'.',label=\"$M_0=10^4 M_1=1$ OB Mod Schechter\")\nplot(sort(allmclusters),np.cumsum(np.array(allocount)[argsort(allmclusters)])/1./np.sum(allocount),'.',label=\"$M_0=10^4 M_1=1$ O Mod Schechter\")\nlegend(loc='best')", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 15, | |
"text": "<matplotlib.legend.Legend at 0x19f9ddd10>" | |
}, | |
{ | |
"output_type": "display_data", | |
"png": 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XB8Dp06eZPXs2ffv2JSQkhCeffNJr/6NHjzJu3DiCgoKYO3euV8bImTNnmDNn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s8rFF3h7+/Ym3Pr3hQuT1IApi0fdXXimFIJZGe3+K2C0Yhh+fmotpjyAdya40gnTrQ48BGAzKGS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\njic8HAAAAABJRU5ErkJggg==\n" | |
} | |
], | |
"prompt_number": 15 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "A = argmin(abs(0.5-np.cumsum(np.array(allobcount)[argsort(allmclusters)])/1./np.sum(allobcount)))\nsort(allmclusters)[A]\nA = argmin(abs(0.5-np.cumsum(np.array(allocount)[argsort(allmclusters)])/1./np.sum(allocount)))\nsort(allmclusters)[A]", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 16, | |
"text": "689.71604560136109" | |
} | |
], | |
"prompt_number": 16 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "%pastebin 0-16 raw=False", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 21, | |
"text": "u'https://gist.github.com/3751918'" | |
} | |
], | |
"prompt_number": 21 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": true, | |
"input": "", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 17 | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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