Hard discs under steady shear: comparison of brownian dynamics simulations and mode coupling theory

Oliver Henrich, Fabian Weysser, Michael E. Cates, Matthias Fuchs

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

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.

LanguageEnglish
Pages5033-5050
Number of pages18
JournalPhilosophical Transactions A: Mathematical, Physical and Engineering Sciences
Volume367
Issue number1909
DOIs
Publication statusPublished - 28 Dec 2009
Externally publishedYes

Fingerprint

Mode Coupling Theory
Brownian Dynamics
Hard disk storage
Dynamic Simulation
coupled modes
shear
Glass
Transition Density
glass
Glass Transition
Computer simulation
Structure-function
Shear flow
Shear Flow
Numerical Calculation
Anisotropy
Shear stress
Glass transition
Two Dimensions
simulation

Keywords

  • colloids
  • glasses
  • rheology

Cite this

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Hard discs under steady shear : comparison of brownian dynamics simulations and mode coupling theory. / Henrich, Oliver; Weysser, Fabian; Cates, Michael E.; Fuchs, Matthias.

In: Philosophical Transactions A: Mathematical, Physical and Engineering Sciences , Vol. 367, No. 1909, 28.12.2009, p. 5033-5050.

Research output: Contribution to journalArticle

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AB - 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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