6533b852fe1ef96bd12aad9d
RESEARCH PRODUCT
Glass transitions and scaling laws within an alternative mode-coupling theory
W. GötzeRolf Schillingsubject
Condensed Matter::Soft Condensed MatterScaling lawTheoretical physicsStatistical Mechanics (cond-mat.stat-mech)Mode couplingFOS: Physical sciencesOrder (group theory)Gravitational singularityDisordered Systems and Neural Networks (cond-mat.dis-nn)Schematic modelCondensed Matter - Disordered Systems and Neural NetworksCondensed Matter - Statistical MechanicsMathematicsdescription
Idealized glass transitions are discussed within an alternative mode-coupling theory (TMCT) proposed by Tokuyama [Physica A 395, 31 (2014)]. This is done in order to identify common ground with and differences from the conventional mode-coupling theory (MCT). It is proven that both theories imply the same scaling laws for the transition dynamics, which are characterized by two power-law decay functions and two diverging power-law time scales. However, the values for the corresponding anomalous exponents calculated within both theories differ from each other. It is proven that the TMCT, contrary to the MCT, does not describe transitions with continuously vanishing arrested parts of the correlation functions. It is also demonstrated for a schematic model that the TMCT does not lead to the MCT scenarios either for transition-line crossings or for the appearance of higher-order glass-transition singularities.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-04-06 |