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The description of the second law of thermodynamics is that the thermal activity of an independent system always make entropy increase and make it maximum(stable balance)

There is some requirement for the subject of the second law of thermodynamics, which is independent system. While for the following independent system, there are problems when the second law of thermodynamics is applied. There are two cups A and B of water on the table. There are many floating charges. The outside doesn’t have any effect on them. So overall they can be viewed as independent system. From the second law of thermodynamics, the system should have a stable balanced state. From part like A, It is affected by B’s charges. So it cannot be viewed as independent system. And it is a big question whether it has a stable state or not. The same applies to B. Same subject and different conclusions show that the theory has disadvantage when applied to such subject.

Whether the system has stable state or not, should be determined by physical equations which should includes heat and electricity.

1 Poisson Equation

2 Boltzman Equation ρ=A*exp（qu/kT）

It is hard to solve the equations. They are not linear. From instinct, the probability of that they can be solved is very small.

It shows the second law of thermodynamics is only practical when there is not long-distance system. For example, there two internal combustion engines working in a classroom. The interaction between them is universal gravitation, which is too small and the effect of it can be negleted.

But the universal gravitation between celestial bodies cannot be negleted. It will also ruin the independence inside a system. Any galaxy is affected by other galaxies. So the second law of thermodynamics is not suitable anymore. Theory of heat death of cosmos is practically meaningless.

The above is obstacle of language and logic. The following two parts of discussion is on problems of calculation.