Quick search Find article
Quick search
Find article

Critical decay at higher-order glass-transition singularities

W Götze and M Sperl

Show affiliations


Within the mode-coupling theory for the evolution of structural relaxation in glass-forming systems, it is shown that the correlation functions for density fluctuations for states at A3- and A4-glass-transition singularities can be presented as an asymptotic series in increasing inverse powers of the logarithm of the time t: \phi (t)-f\propto \sum_i g_i(x) , where gn(x) = pn(lnx)/xn with pn denoting some polynomial and x = ln(t/t0). The results are demonstrated for schematic models describing the system by solely one or two correlators and also for a colloid model with a square-well-interaction potential.


PACS

64.70.P- Glass transitions of specific systems

61.43.Fs Glasses

82.70.Dd Colloids

Subjects

Soft matter, liquids and polymers

Condensed matter: structural, mechanical & thermal

Chemical physics and physical chemistry

Dates

Issue 42 (27 October 2004)

Received 29 March 2004

Published 8 October 2004



  1. Critical decay at higher-order glass-transition singularities

    W Götze and M Sperl 2004 J. Phys.: Condens. Matter 16 S4807

  2. Higher-order glass-transition singularities in systems with short-ranged attractive potentials

    W Götze and M Sperl 2003 J. Phys.: Condens. Matter 15 S869

  3. Fabrication and electrical characterization of flower-like CdO/p-Si heterojunction diode

    M Caglar and F Yakuphanoglu 2009 J. Phys. D: Appl. Phys. 42 045102

  4. Dust, fertilization and sources

    Lorraine A Remer 2006 Environ. Res. Lett. 1 011001

  5. Clustering of sparse data via network communities—a prototype study of a large online market

    Jörg Reichardt and Stefan Bornholdt J. Stat. Mech. (2007) P06016

  6. Growth and applications of Group III-nitrides

    O Ambacher 1998 J. Phys. D: Appl. Phys. 31 2653

  7. Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair

    Kazuhiro Yokota et al 2009 New J. Phys. 11 033011

  8. The Littlest Higgs

    Nima Arkani-Hamed et al JHEP07(2002)034

  9. The Minimal Moose for a Little Higgs

    Nima Arkani-Hamed et al JHEP08(2002)021

  10. Equation of state in a small system: Violation of an assumption of Maxwell's demon

    T. Hondou 2007 EPL 80 50001

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.