= A. A. Barker
{c}
<A. A. Barker> authored a 1965 calculation of <radial distribution functions> for a proton–electron <plasma>. The associated <Barker acceptance probability> supplies a useful rule for equilibrium <Markov chain Monte Carlo>: if the probability-and-proposal ratio for a proposed move is $r$, accept with probability $r/(1+r)$. For reverse moves the ratio is $1/r$, so the acceptance probabilities have ratio $r$, giving <detailed balance>. The rule connects a microscopic sampling decision with the desired equilibrium distribution.<Monte Carlo Calculations of the Radial Distribution Functions for a Proton-Electron Plasma by A. A. Barker>[1965 publication identity; acceptance-rule explanation in modern notation]{ref}
Author credited under these initials on the 1965 <Monte Carlo method> plasma paper <Monte Carlo Calculations of the Radial Distribution Functions for a Proton-Electron Plasma by A. A. Barker>. The initials are not expanded because an exact identity beyond the publication credit has not been established here. https://digital.library.adelaide.edu.au/server/api/core/bitstreams/6cfca857-2a79-4ccd-b8e8-ad7f63c8e766/content[University of Adelaide thesis addendum identifying the 1965 publication].
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