3 papers
cond-mat.stat-mech2026
Superfluid helium
Charles Radin
We are interested in modelling superfluid helium-4, the common isotope of helium, of atomic number 4. We present a mathematically solvable toy model of the phase transition between…
math.PR2025
Emergence in graphs with near-extreme constraints
Charles Radin, Lorenzo Sadun
We consider entropy-optimal graphons associated with extreme and near-extreme constraints on the densities of edges and triangles. We prove that the optimizers for near-extreme con…
cond-mat.soft2024
Crystalline and polycrystalline regimes in a periodically sheared 2-dimensional system of disks
Siyuan Su, Jie Zhang, Charles Radin +1
A layer of monodisperse circular steel disks in a nearly square horizontal cell forms, for shear amplitudes SA 0.08, hexagonal close-packed crystallites that grow and merge u…