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 fitting on a on a log-log plot

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T O P I C    R E V I E W
Alireza3412 Posted - 06/08/2019 : 03:29:51 AM
Origin Ver. and Service Release (Select Help-->About Origin):
Operating System:
-------------------
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
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174 14167
175 14256
176 14348
177 14453
178 14561
179 14676
180 14768
181 14840
182 14915
183 14995
184 15065
185 15139
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189 15404
190 15489
191 15570
192 15649
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214 17804
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3   L A T E S T    R E P L I E S    (Newest First)
Alireza3412 Posted - 06/12/2019 : 04:52:45 AM
Do I need to install new app "Piecewise Fit.opx" on my Origin?
Alireza3412 Posted - 06/11/2019 : 5:06:05 PM
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.
Shirley_GZ Posted - 06/10/2019 : 05:29:49 AM
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



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