For Riesz gases confined by a hard wall, complete confinement to the wall occurs exactly in the strongly long-ranged regime s∈(d-3,d-2], with an explicit critical wall position; in the weakly long-ranged regime s∈(d-2,d) it never occurs.
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Confinement transitions in half-space constrained Riesz gases
For Riesz gases confined by a hard wall, complete confinement to the wall occurs exactly in the strongly long-ranged regime s∈(d-3,d-2], with an explicit critical wall position; in the weakly long-ranged regime s∈(d-2,d) it never occurs.