Potential and distribution in molecular dynamics

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zzl1007
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I get this formula in a MD paper:Wavelet-based multi-scale coarse graining approach for DNA molecules

P(d)=A*exp(-U(d)/kT)

P(d) is the distribution function, U(d) is the potentital.

How does this formula come?

In the paper I read about this, they get the distribution first, and obtain the potential from the distribution by using this formula. Does that make sense?

Really need someone's help.

Thank you!
 
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By sticking the potential into the Boltzmann distribution, I'd assume.