TY - JOUR
T1 - Glass transitions and scaling laws within an alternative mode-coupling theory
AU - Götze, Wolfgang
AU - Schilling, Rolf
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/4/15
Y1 - 2015/4/15
N2 - Idealized glass transitions are discussed within an alternative mode-coupling theory (TMCT) proposed by Tokuyama [Physica A 395, 31 (2014)PHYADX0378-437110.1016/j.physa.2013.10.028]. 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.
AB - Idealized glass transitions are discussed within an alternative mode-coupling theory (TMCT) proposed by Tokuyama [Physica A 395, 31 (2014)PHYADX0378-437110.1016/j.physa.2013.10.028]. 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.
UR - http://www.scopus.com/inward/record.url?scp=84929081960&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.91.042117
DO - 10.1103/PhysRevE.91.042117
M3 - Article
AN - SCOPUS:84929081960
SN - 1539-3755
VL - 91
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 - 4
M1 - 042117
ER -