TY - JOUR

T1 - Higher-order glass-transition singularities in colloidal systems with attractive interactions

AU - Dawson, K.

AU - Foffi, G.

AU - Fuchs, M.

AU - Götze, W.

AU - Sciortino, F.

AU - Sperl, M.

AU - Tartaglia, P.

AU - Voigtmann, Th

AU - Zaccarelli, E.

PY - 2001

Y1 - 2001

N2 - The transition from a liquid to a glass in colloidal suspensions of particles interacting through a hard core plus an attractive square-well potential is studied within the mode-coupling-theory framework. When the width of the attractive potential is much shorter than the hard-core diameter, a reentrant behavior of the liquid-glass line and a glass-glass-transition line are found in the temperature-density plane of the model. For small well-width values, the glass-glass-transition line terminates in a third-order bifurcation point, i.e., in a (Formula presented) (cusp) singularity. On increasing the square-well width, the glass-glass line disappears, giving rise to a fourth-order (Formula presented) (swallow-tail) singularity at a critical well width. Close to the (Formula presented) and (Formula presented) singularities the decay of the density correlators shows stretching of huge dynamical windows, in particular logarithmic time dependence.

AB - The transition from a liquid to a glass in colloidal suspensions of particles interacting through a hard core plus an attractive square-well potential is studied within the mode-coupling-theory framework. When the width of the attractive potential is much shorter than the hard-core diameter, a reentrant behavior of the liquid-glass line and a glass-glass-transition line are found in the temperature-density plane of the model. For small well-width values, the glass-glass-transition line terminates in a third-order bifurcation point, i.e., in a (Formula presented) (cusp) singularity. On increasing the square-well width, the glass-glass line disappears, giving rise to a fourth-order (Formula presented) (swallow-tail) singularity at a critical well width. Close to the (Formula presented) and (Formula presented) singularities the decay of the density correlators shows stretching of huge dynamical windows, in particular logarithmic time dependence.

UR - http://www.scopus.com/inward/record.url?scp=0008659938&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.63.011401

DO - 10.1103/PhysRevE.63.011401

M3 - Article

AN - SCOPUS:0008659938

SN - 1063-651X

VL - 63

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 1

ER -