A NOTE ON THE MODE COUPLING THEORY OF POLYMER MELT DYNAMICS

1990 ◽  
Vol 04 (14) ◽  
pp. 913-916 ◽  
Author(s):  
KYOZI KAWASAKI
Keyword(s):  
Potential Energy ◽  
Polymer Chain ◽  
Mode Coupling ◽  
Polymer Melt ◽  
Equation Of Motion ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
The Matrix

The mode coupling theory of polymer melt dynamics put forward recently by Schweizer is combined with the curvilinear displacement invariance of the potential energy. The resulting equation of motion of a tagged polymer chain is shown to be consistent with the reptation picture when the matrix surrounding the tagged chain is frozen.

scholarly journals Dynamics of fluids in quenched-random potential energy landscapes: a mode-coupling theory approach

Soft Matter ◽  
2017 ◽  
Vol 13 (31) ◽  
pp. 5283-5297 ◽  
Author(s):  
Thomas Konincks ◽  
Vincent Krakoviack
Keyword(s):  
Potential Energy ◽  
Mode Coupling ◽  
Random Potential ◽  
Quenched Disorder ◽  
Theory Approach ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
Energy Landscapes ◽  
Random Energy ◽  
Potential Energy Landscapes

Interplay of crowding and quenched disorder in the dynamics of fluids in random energy landscapes according to a mode-coupling theory.

scholarly journals Hard discs under steady shear: comparison of Brownian dynamics simulations and mode coupling theory

2009 ◽  
Vol 367 (1909) ◽  
pp. 5033-5050 ◽  
Author(s):  
Oliver Henrich ◽  
Fabian Weysser ◽  
Michael E. Cates ◽  
Matthias Fuchs
Keyword(s):  
Brownian Dynamics ◽  
Mode Coupling ◽  
Transition Density ◽  
Two Dimensions ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
Stationary Structure ◽  
Homogeneous Shear Flow ◽  
Dynamics Simulations ◽  
Brownian Dynamics Simulations

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.

Application of mode-coupling theory to solvation dynamics

1996 ◽  
Vol 54 (3) ◽  
pp. 2786-2796 ◽  
Author(s):  
Jangseok Ma ◽  
David Vanden Bout ◽  
Mark Berg
Keyword(s):  
Mode Coupling ◽  
Solvation Dynamics ◽  
Coupling Theory ◽  
Mode Coupling Theory

scholarly journals Mode-coupling analysis of residual stresses in colloidal glasses

Soft Matter ◽  
2014 ◽  
Vol 10 (27) ◽  
pp. 4822-4832 ◽  
Author(s):  
S. Fritschi ◽  
M. Fuchs ◽  
Th. Voigtmann
Keyword(s):  
Glass Transition ◽  
Shear Flow ◽  
Residual Stresses ◽  
Mode Coupling ◽  
Nonlinear Response ◽  
Density Fluctuations ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
Coupling Analysis ◽  
Soft Glasses

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.

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 ◽  
...  
Keyword(s):  
Mode Coupling ◽  
Critical Slowing Down ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
Slowing Down
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