79 citations · 744 across the 45 of their papers we have counts for
52 papers
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…
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…
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…
Optimal graphons in the edge-2star model
Charles Radin, Lorenzo Sadun
In the edge-2star model with hard constraints we prove the existence of an open set of constraint parameters, bisected by a line segment on which there are nonunique entropy-optima…
Existence of a symmetric bipodal phase in the edge-triangle model
Joe Neeman, Charles Radin, Lorenzo Sadun
In the edge-triangle model with edge density close to 1/2 and triangle density below 1/8 we prove that the unique entropy-maximizing graphon is symmetric bipodal. We also prove tha…
Typical large graphs with given edge and triangle densities
Joe Neeman, Charles Radin, Lorenzo Sadun
The analysis of large simple graphs with extreme values of the densities of edges and triangles has been extended to the statistical structure of typical graphs of fixed intermedia…