scholarly journals Critical Slowing Down Exponents of Mode Coupling Theory

2012 ◽  
Vol 108 (8) ◽  
Author(s):  
F. Caltagirone ◽  
U. Ferrari ◽  
L. Leuzzi ◽  
G. Parisi ◽  
F. Ricci-Tersenghi ◽  
...  
1996 ◽  
Vol 455 ◽  
Author(s):  
Francesco Sciortino ◽  
Piero Tartaglia ◽  
Paola Gallo ◽  
Sow-Hsin Chen

ABSTRACTWe review some recent results on the self-dynamics in deep supercooled (simulated) water, obtained by analyzing very long Molecular Dynamics simulations. We discuss the possibility of interpreting the observed slowing down of the dynamics in terms of Mode Coupling Theory for supercooled liquids and, at the same time, of associating the experimentally observed anomalies of the transport coefficients in water on lowering the temperature to the formation of long living cages. The so-called critical Angeli temperature TA in supercooled water could be interpreted as kinetic glass transition temperature, relaxing the need of a thermodynamic singularity for the explanation of the dynamic anomalies of liquid water. In the end we discuss the possibility that TA acts as cross-over temperature from fragile to strong liquid behavior.


Author(s):  
Oliver Henrich ◽  
Fabian Weysser ◽  
Michael E. Cates ◽  
Matthias Fuchs

Brownian dynamics simulations of bidisperse hard discs moving in two dimensions in a given steady and homogeneous shear flow are presented close to and above the glass transition density. The stationary structure functions and stresses of shear-melted glass are compared quantitatively to parameter-free numerical calculations of monodisperse hard discs using mode coupling theory within the integration through transients framework. Theory qualitatively explains the properties of the yielding glass but quantitatively overestimates the shear-driven stresses and structural anisotropies.


1996 ◽  
Vol 54 (3) ◽  
pp. 2786-2796 ◽  
Author(s):  
Jangseok Ma ◽  
David Vanden Bout ◽  
Mark Berg

Soft Matter ◽  
2014 ◽  
Vol 10 (27) ◽  
pp. 4822-4832 ◽  
Author(s):  
S. Fritschi ◽  
M. Fuchs ◽  
Th. Voigtmann

Soft glasses produced after the cessation of shear flow exhibit persistent residual stresses. Mode coupling theory of the glass transition explains their history dependence in terms of nonequilibrium, nonlinear-response relaxation of density fluctuations.


Soft Matter ◽  
2017 ◽  
Vol 13 (41) ◽  
pp. 7609-7616 ◽  
Author(s):  
Saroj Kumar Nandi ◽  
Nir S. Gov

The physics of active systems of self-propelled particles, in the regime of a dense liquid state, is an open puzzle of great current interest, both for statistical physics and because such systems appear in many biological contexts. We obtain a nonequilibrium mode-coupling theory for such systems and present analytical scaling relations through mapping with a simpler model of a single trapped active particle.


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