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Commit MetaInfo

修訂1d1ed12bad090edd5f47c0228b16921329292842 (tree)
時間2007-05-29 21:39:58
作者iselllo
Commiteriselllo

Log Message

I added the file Python-codes/self_similarity.py. This simple code
solves a first order ODE giving the time evolution of the number
concentration for a self-similar distribution for a Brownian kernel in
the continuun limit.

Change Summary

差異

diff -r 804d712ef13c -r 1d1ed12bad09 Python-codes/self_similarity.py
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/Python-codes/self_similarity.py Tue May 29 12:39:58 2007 +0000
@@ -0,0 +1,54 @@
1+#! /usr/bin/env python
2+from scipy import *
3+import pylab # used to read the .csv file
4+
5+
6+#from scipy.special import * # to be able to use the error function
7+
8+def self_similar(y, t):
9+ return -myconst*y**2.
10+
11+
12+
13+
14+t = arange(0,4.0, 0.01)
15+
16+
17+y0 = 1.55e14 # initial total number concentration
18+
19+a=0.9046
20+b=1.248
21+
22+mu=2e-5
23+k_B=1.38e-23
24+T=400.
25+rho_p=1300.
26+
27+myconst=2.*k_B*T/(3.*mu)*(1.+a*b)
28+print 'myconst is',myconst
29+
30+
31+y = integrate.odeint(self_similar, y0, t,printmessg=1)
32+
33+
34+print 'solution is', y
35+
36+
37+pylab.plot(t,y[:,0])
38+pylab.xlabel('Time')
39+pylab.ylabel('Total Number Concentration')
40+pylab.title('Self-Similar Evolution Number Concentration')
41+pylab.grid(True)
42+pylab.savefig('self_similar_number_concentration_cont_kernel')
43+
44+pylab.hold(False)
45+
46+
47+results=zeros((len(t),2))
48+results[:,0]=t
49+results[:,1]=y[:,0]
50+
51+pylab.save("self_similar_pop.txt",results)
52+
53+
54+print 'So far so good'
\ No newline at end of file