One stable radial pair potential in three dimensions with a divergent repulsive core and integrable o(r⁻³) tail has canonical free energy at all positive temperatures and densities, with a strict finite jump in its inverse-temperature derivative at one common positive temperature over a nonempty open interval of densities.
One stable radial pair potential in three dimensions with a divergent repulsive core and integrable o(r⁻³) tail has canonical free energy at all positive temperatures and densities, with a strict finite jump in its inverse-temperature derivative at one common positive temperature over a nonempty open interval of densities.
One stable radial pair potential in three dimensions with a divergent repulsive core and integrable o(r⁻³) tail has canonical free energy at all positive temperatures and densities, with a strict finite jump in its inverse-temperature derivative at one common positive temperature over a nonempty open interval of densities.
If correct, constructs a rigorous temperature-driven singularity for a stable three-dimensional continuum pair potential.
Can a stable radial pair potential have a temperature singularity across an interval of densities?
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OpenAI reports a continuum temperature singularity for a radial pair potential
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