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As long as the earth recieves more energy then it uses, it will not run down.

The sun is not running down, it is only a middle aged star.

It will last for another 4 billion years at least, then it will probably expand and destroy the earth and Possibly Mars, and if it does go supernova, everything within the solar system will be destroyed.

In the meantime, the earth is getting more energy from the sun then it uses, this is why when it is clear at night, the heat escapes to space, this is why plants grow, this is why storms rage, this is why the surface of the earth stays warm, etc, etc, etc.

The sun does, still does, and will continue to, give the earth more energy then it can possibly use, and as long as that continues, evolution, weather patterns, etc, will continue to occur, when the sun finally fades, in another 3-4 billion years, then the 2nd law will kick in with a vengeance, until then, the earth will continue to do what it has done for the last 4 1/2 billion years.

Life itself is the result of all this energy from the sun, life is the battery that keeps a percentage of that energy here on earth, the earth itself also holds some of that energy, and releases it, this is what causes weather, hurricanes, snow storms, rain. It is, all of it, powered by the sun.

When storms quit raging, when snow stops falling, when plants stop growing, when night is 24 hours a day, then we can talk about the earth running down, until then, nothing of that sort is occurring.