= Patrick Charbonneau
{c}
A researcher in <soft matter> whose work combines theory and simulation to study the physics of <glass> and the formation of spatial structure in complex materials.<Professional profile of Patrick Charbonneau at Duke University>[Research description: theory, simulation, glass problem and microphase formation]{ref} His historical and mathematical account of the <replica trick> explains why averaging a <partition function> differs from averaging its logarithm when disorder is frozen. It also identifies the ambiguity in the <analytic continuation> used by this method, helping readers understand both its usefulness for <spin glass> models and its mathematical limitations.<From the replica trick to the replica symmetry-breaking technique by Patrick Charbonneau>[§1, printed pp. 5–6, Eq. (1): quenched free-energy average and continuation ambiguity]{ref}
\Image[https://qlscenter.duke.edu/files/2024/05/Patrick-Charbonneau.jpg]
{title=Portrait of <Patrick Charbonneau>}
{source=https://qlscenter.duke.edu/staff-members/patrick-charbonneau-phd/}
{width=240}
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