Diagrammatic Approach to the Dynamics of Interacting Brownian Particles: Mode-Coupling Theory, Generalized Mode-Coupling Theory, and All That

2008 ◽  
Author(s):  
Grzegorz Szamel ◽  
Michio Tokuyama ◽  
Irwin Oppenheim ◽  
Hideya Nishiyama
Keyword(s):  
Mode Coupling ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
Brownian Particles ◽  
Interacting Brownian Particles

scholarly journals Mode-coupling theory for active Brownian particles

2017 ◽  
Vol 96 (6) ◽  
Author(s):  
Alexander Liluashvili ◽  
Jonathan Ónody ◽  
Thomas Voigtmann
Keyword(s):  
Mode Coupling ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
Brownian Particles

scholarly journals Generalized mode-coupling theory for mixtures of Brownian particles

2021 ◽  
Vol 104 (6) ◽  
Author(s):  
Vincent E. Debets ◽  
Chengjie Luo ◽  
Simone Ciarella ◽  
Liesbeth M. C. Janssen
Keyword(s):  
Mode Coupling ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
Brownian Particles

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.

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