Soft matter from a geometric perspective

A brief introduction to various forms of soft matter, with emphasis on the geometry of sphere packing

Granular Matter

Experiments and a model of dilatancy onset:

M. Schröter, S. Nägle, C. Radin and H.L. Swinney, EPL 78 (2007), 44004

J.-F. Métayer, D.J. Suntrup III, C. Radin, H.L. Swinney and M. Schröter, EPL 93(2011), 64003

D. Aristoff and C. Radin, J. Stat. Phys. 143(2011), 215-225

Experiments and theory of compaction and random close packing:

C. Radin, J. Stat. Phys. 131(2008) 567-573

D. Aristoff and C. Radin, J. Math. Phys. 51 (2010) 113302

F. Rietz, C. Radin, H. Swinney and M. Schröter, Nucleation in sheared granular matter, Phys. Rev. Lett. 120, 055701 (2018)

C. Radin and H. Swinney, Phases of granular matter, J. Stat. Phys. 175(2019) 542-553

W. Jin, C. O'Hern, C. Radin, M. Shattuck and H.L. Swinney, Homogeneous crystallization in cyclically sheared frictionless grains, Phys. Rev. Lett. 125, 258003 (2020)

C. Radin Equivalence between random close packing in granular matter and freezing in the hard sphere model arxiv:2105.09982.

S. Su, J. Zhang, C. Radin and H.L. Swinney, Crystalline and polycrystalline regimes in a periodically sheared 2-dimensional system of disks, arxiv:2411. 03667v1

A theory of random loose packing:

D. Aristoff and C. Radin, J. Stat. Phys., 135(2009), 1-23

Some acoustic measurements:

T. Argo, M. Guild, P. Wilson, M. Schröter, C. Radin and H. Swinney, J. Acoust. Soc. Am. 129(2011) EL101-EL107

Crumpled Sheets

Confined sheets, wires, polymers:

D. Aristoff and C. Radin, EPL 91(2010) 56003.

D. Aristoff and C. Radin, J. Phys. A: Math. Theor. 44(2011) 065004.