%0 Journal Article %1 Gotze2004Critical %A Götze, W. %A Sperl, M. %D 2004 %J Journal of Physics: Condensed Matter %K mode-coupling-theory critical-phenomena glasses %N 42 %P S4807--S4830 %R 10.1088/0953-8984/16/42/001 %T Critical decay at higher-order glass-transition singularities %U http://dx.doi.org/10.1088/0953-8984/16/42/001 %V 16 %X 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 A 3 - and A 4 -glass-transition singularities can be presented as an asymptotic series in increasing inverse powers of the logarithm of the time t : , where g n ( x ) = p n (ln x )/ x n with p n denoting some polynomial and x = ln( t / t 0 ). 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.

@article{Gotze2004Critical, abstract = {{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 A 3 - and A 4 -glass-transition singularities can be presented as an asymptotic series in increasing inverse powers of the logarithm of the time t : , where g n ( x ) = p n (ln x )/ x n with p n denoting some polynomial and x = ln( t / t 0 ). 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.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {G\"{o}tze, W. and Sperl, M.}, biburl = {https://www.bibsonomy.org/bibtex/296ba17d72b3c8564b70cabb033c01595/nonancourt}, citeulike-article-id = {2652772}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/0953-8984/16/42/001}, citeulike-linkout-1 = {http://iopscience.iop.org/0953-8984/16/42/001}, day = 27, doi = {10.1088/0953-8984/16/42/001}, interhash = {c24b598c5fd647c2802a5cf4be203a6f}, intrahash = {96ba17d72b3c8564b70cabb033c01595}, issn = {0953-8984}, journal = {Journal of Physics: Condensed Matter}, keywords = {mode-coupling-theory critical-phenomena glasses}, month = oct, number = 42, pages = {S4807--S4830}, posted-at = {2012-01-26 15:06:26}, priority = {2}, timestamp = {2019-07-31T12:31:28.000+0200}, title = {{Critical decay at higher-order glass-transition singularities}}, url = {http://dx.doi.org/10.1088/0953-8984/16/42/001}, volume = 16, year = 2004 }