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