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Non progressive phenomena of entropy and morphology
2022-07-27 10:57:00 【Black elm】

Now suppose there are two boxes , There are two different particles in these two boxes A and B, Now suppose A Line up into 0 The shape of the ,B Line up into 1 The shape of the . Take the two boxes as a whole and calculate the entropy of the whole . Let the entropy be H01, Now let B Particles by 1 The shape of becomes 2 The shape of the , The entropy here is H02, that H01 and H02 Which is bigger ?

B Due to random motion, molecules happen to be formed by 1 The form of became 2 The form of , Is this process entropy increasing or entropy decreasing ?
Now suppose A Particles are not 0 The shape of the , It is 3 The shape of the . let B Particles by 1 Random motion becomes 2, At this time, the entropy change of the two boxes is H32-H31

Now H02-H01 And H32-H31 What is the relationship between ? Are they equal ?
They should be unequal , If you think H02-H01 = H32-H31, That is, the process of change is only B Particle motion , Then the entropy of the whole process is only related to B Particle related ,A Exist or not or no matter A What is the form of has nothing to do with the whole process .
But this contradicts the premise , The premise is to put A and B As a whole , And calculate the change of entropy of the whole . therefore B The change of particle morphology should be relative A Changes in particle distribution patterns , There is reason to think that
(3,1)---m*n*k---(1,0)(0,1)
(3,2)---m*n*k---(1,0)(0,1)
Classify with neural network 3 and 1,3 and 2 The number of iterations obtained n31,n32 It is inversely proportional to the entropy of these two states

According to the form number axis obtained above
8 | 6 | 1 | 9 | 3 | 4 | 2 | 7 | 5 | |
0 | 27905.07 | 25605.5 | 23558.45 | 13346.79 | 12572.23 | 11983.15 | 8358.603 | 7822.01 | 5402.955 |
1 | 2 | 9 | 7 | 8 | 4 | 0 | 5 | 6 | |
3 | 35671.24 | 33389.61 | 19919.65 | 17331.39 | 17015.68 | 15199.52 | 12572.23 | 11703.08 | 8136.266 |
constant c It should be related to the network structure , Set to 1

The calculation shows that the entropy changes of the two processes are different , And these two processes are coincidental processes of entropy increase , also B Particles are relative to 0 The entropy increment of motion is larger .
8 | 6 | 1 | 9 | 3 | 4 | 2 | 7 | 5 | |
0 | 27905.07 | 25605.5 | 23558.45 | 13346.79 | 12572.23 | 11983.15 | 8358.603 | 7822.01 | 5402.955 |
3 | 0 | 8 | 2 | 9 | 6 | 5 | 4 | 7 | |
1 | 35671.24 | 23558.45 | 16861 | 11792.54 | 10721.14 | 10241.39 | 10137.68 | 9577.513 | 9568.94 |
3 | 4 | 9 | 7 | 1 | 6 | 0 | 8 | 5 | |
2 | 33389.61 | 19984.86 | 13772.15 | 12555.62 | 11792.54 | 9360.106 | 8358.603 | 7658.015 | 7100.643 |
1 | 2 | 9 | 7 | 8 | 4 | 0 | 5 | 6 | |
3 | 35671.24 | 33389.61 | 19919.65 | 17331.39 | 17015.68 | 15199.52 | 12572.23 | 11703.08 | 8136.266 |
2 | 9 | 3 | 0 | 1 | 6 | 7 | 8 | 5 | |
4 | 19984.86 | 18523.66 | 15199.52 | 11983.15 | 9577.513 | 9020.96 | 7572.704 | 6106.347 | 5689.266 |
3 | 1 | 7 | 2 | 9 | 8 | 4 | 0 | 6 | |
5 | 11703.08 | 10137.68 | 8617.161 | 7100.643 | 6794.688 | 6116.397 | 5689.266 | 5402.955 | 5362.608 |
0 | 1 | 2 | 9 | 4 | 7 | 8 | 3 | 5 | |
6 | 25605.5 | 10241.39 | 9360.106 | 9044.211 | 9020.96 | 8983.447 | 8626.678 | 8136.266 | 5362.608 |
9 | 3 | 2 | 1 | 6 | 5 | 0 | 4 | 8 | |
7 | 20211.46 | 17331.39 | 12555.62 | 9568.94 | 8983.447 | 8617.161 | 7822.01 | 7572.704 | 7073.432 |
0 | 3 | 1 | 6 | 2 | 7 | 9 | 5 | 4 | |
8 | 27905.07 | 17015.68 | 16861 | 8626.678 | 7658.015 | 7073.432 | 6966.322 | 6116.397 | 6106.347 |
7 | 3 | 4 | 2 | 0 | 1 | 6 | 8 | 5 | |
9 | 20211.46 | 19919.65 | 18523.66 | 13772.15 | 13346.79 | 10721.14 | 9044.211 | 6966.322 | 6794.688 |
But this may just be a coincidence, because if A The form of is 4,7,9,B Particles by 1 Change to 2 This process is entropy minus , So particles are made of 1 The random motion is 2 If relative to 0 Order becomes disorder , And if relative to 9 It is disorder that becomes order .
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