PubMed Health⌕ Search

Biomedical subjects

J Tobochnik

Publications and source records attributed to J Tobochnik.

10 recordsLinked to original sources

Clusters and fluctuations at mean-field critical points and spinodals

We show that the structure of the fluctuations close to spinodals and mean-field critical points is qualitatively different from the structure close to non-mean-field critical points. This difference has important implications for many areas including the formation of glasses in supercooled liquids. In particular, the divergence of the measured static structure function in near-mean-field systems close to the glass transition is suppressed relative to the mean-field prediction in systems for which a spatial symmetry is broken.

Journal Article↗

Granular collapse as a percolation transition.

Inelastic collapse is found in a two-dimensional system of inelastic hard disks confined between two walls which act as an energy source. As the coefficient of restitution is lowered, there is a transition between a state containing small collapsed clusters and a state dominated by a large collapsed cluster. The transition is analogous to that of a percolation transition. At the transition the number of clusters n(s) of size s scales as n(s) approximately s(-tau) with tau approximately equal to 2.7.

Journal Article↗