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 Topic  |
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Alireza3412
Iran
3 Posts |
 Posted - 06/08/2019 : 03:29:51 AM
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Origin Ver. and Service Release (Select Help-->About Origin):
Operating System:
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I have simulated a DLA pattern by MC method and the data is for fractal dimension. The left column is the number of particle N(r) into radius r and the right column is the radius r. I plotted a log-log plot by Origin software. But I have a problem with fitting onto the plot. I do not know which part of the data should be considered and others should be deleted to fit on the log-log plot accurately and show me a correct fractal dimension. Please guide me to do it. In fact, I should consider a scaling region for calculating the slope (fractal dimension) but I do not know how I do it.
The result is below:
Two circles show two regions which should be considered accurately.
My data is shown below:
r N(r)
0 1
1 8
2 17
3 24
4 35
5 47
6 61
7 75
8 95
9 116
10 136
11 156
12 175
13 204
14 236
15 265
16 289
17 312
18 343
19 369
20 392
21 418
22 450
23 479
24 502
25 536
26 575
27 609
28 646
29 684
30 721
31 757
32 794
33 837
34 883
35 923
36 978
37 1018
38 1054
39 1107
40 1151
41 1204
42 1247
43 1303
44 1360
45 1416
46 1476
47 1523
48 1573
49 1621
50 1666
51 1715
52 1749
53 1785
54 1831
55 1896
56 1950
57 2019
58 2071
59 2130
60 2177
61 2236
62 2304
63 2349
64 2403
65 2477
66 2542
67 2610
68 2680
69 2738
70 2811
71 2882
72 2946
73 3027
74 3111
75 3198
76 3288
77 3384
78 3474
79 3573
80 3660
81 3732
82 3818
83 3886
84 3979
85 4061
86 4129
87 4211
88 4284
89 4385
90 4470
91 4538
92 4614
93 4689
94 4762
95 4832
96 4921
97 5007
98 5097
99 5193
100 5284
101 5369
102 5470
103 5565
104 5660
105 5755
106 5853
107 5959
108 6052
109 6159
110 6263
111 6376
112 6503
113 6611
114 6719
115 6809
116 6893
117 7001
118 7112
119 7225
120 7335
121 7434
122 7580
123 7734
124 7868
125 7991
126 8117
127 8245
128 8383
129 8520
130 8670
131 8785
132 8914
133 9041
134 9171
135 9297
136 9429
137 9557
138 9675
139 9803
140 9929
141 10037
142 10143
143 10274
144 10429
145 10549
146 10659
147 10766
148 10873
149 10978
150 11086
151 11196
152 11315
153 11445
154 11559
155 11681
156 11815
157 11947
158 12081
159 12218
160 12370
161 12536
162 12669
163 12812
164 12941
165 13061
166 13176
167 13307
168 13433
169 13566
170 13689
171 13812
172 13935
173 14052
174 14167
175 14256
176 14348
177 14453
178 14561
179 14676
180 14768
181 14840
182 14915
183 14995
184 15065
185 15139
186 15195
187 15253
188 15325
189 15404
190 15489
191 15570
192 15649
193 15745
194 15835
195 15940
196 16038
197 16146
198 16248
199 16356
200 16483
201 16570
202 16650
203 16747
204 16847
205 16955
206 17046
207 17152
208 17252
209 17353
210 17441
211 17542
212 17627
213 17725
214 17804
215 17893
216 17983
217 18079
218 18161
219 18240
220 18343
221 18440
222 18546
223 18644
224 18729
225 18821
226 18921
227 19008
228 19090
229 19179
230 19260
231 19328
232 19404
233 19491
234 19575
235 19647
236 19728
237 19786
238 19861
239 19939
240 20016
241 20089
242 20161
243 20233
244 20295
245 20378
246 20450
247 20515
248 20619
249 20692
250 20780
251 20846
252 20925
253 20982
254 21041
255 21102
256 21151
257 21206
258 21263
259 21334
260 21383
261 21434
262 21498
263 21570
264 21670
265 21769
266 21846
267 21907
268 21973
269 22047
270 22113
271 22178
272 22232
273 22278
274 22307
275 22339
276 22387
277 22432
278 22497
279 22555
280 22616
281 22680
282 22728
283 22775
284 22822
285 22856
286 22886
287 22925
288 22961
289 23004
290 23045
291 23093
292 23128
293 23185
294 23239
295 23283
296 23330
297 23373
298 23415
299 23452
300 23481
301 23528
302 23576
303 23627
304 23671
305 23705
306 23735
307 23771
308 23825
309 23871
310 23910
311 23954
312 23994
313 24033
314 24066
315 24093
316 24126
317 24156
318 24201
319 24227
320 24249
321 24277
322 24290
323 24309
324 24357
325 24402
326 24450
327 24483
328 24514
329 24536
330 24574
331 24605
332 24625
333 24655
334 24684
335 24701
336 24725
337 24747
338 24761
339 24784
340 24809
341 24830
342 24852
343 24870
344 24891
345 24906
346 24917
347 24931
348 24945
349 24959
350 24971
351 24982
352 24990
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355 24999
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Edited by - Alireza3412 on 06/09/2019 03:05:04 AM |
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Shirley_GZ
China
Posts |
Posted - 06/10/2019 : 05:29:49 AM
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Hi Alireza3412,
So you want to exclude the starting segment and ending segment accurately to do fitting, right?
Then you can get the log(col(A)) and log(Col(B)) to get the curvee, and then use the piece-wise function "PWL3" to get the inflection points as below
Then, you can get the data range from x=10^(xi1) to x=10^(xi2) to do fitting you desired.
Please let me know if any problem.
Thanks,
Shirley
Originlab Technical Service Team |
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Alireza3412
Iran
3 Posts |
Posted - 06/11/2019 : 5:06:05 PM
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Dear Shirley, thank you so much for your response. I have done it but I got the plot:
As you can see, it is not correct. And also, when I compare my plot with yours, x and y axises scales do not match together.
Please guide me with more details about choosing correct sets. |
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Alireza3412
Iran
3 Posts |
Posted - 06/12/2019 : 04:52:45 AM
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| Do I need to install new app "Piecewise Fit.opx" on my Origin? |
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Topic |
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fitting on a on a log-log plot