scholarly journals Mode Coupling in the Solar Corona. V. Reduction of the Coupled Equations

1977 ◽  
Vol 30 (6) ◽  
pp. 661 ◽  
Author(s):  
DB Melrose
Keyword(s):  
Solar Corona ◽  
Mode Coupling ◽  
Mhd Waves ◽  
Fast Mode ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
Coupled Equations

A simplified version of the mode-coupling theory of Clemmow and Heading is developed by reducing the set of coupled equations to two for the magnetoionic theory and three for the MHD theory. The simplified theory reproduces known results for coupling in the neighbourhood of coupling points. It is used to treat coupling between the MHD waves, and it is found that coupling between the fast mode and the Alfven mode for VA ;?; C, is stronger than the coupling between any other pair of modes. The strongest coupling of all is between the Alfven and slow (magnetoacoustic) modes for VA ~ C,.

scholarly journals Mode Coupling in the Solar Corona. IV. Magnetohydrodynamic Waves

1977 ◽  
Vol 30 (6) ◽  
pp. 647 ◽  
Author(s):  
DB Melrose ◽  
MA Simpson
Keyword(s):  
General Theory ◽  
Solar Corona ◽  
Mode Coupling ◽  
Stratified Medium ◽  
Mhd Waves ◽  
Fast Mode ◽  
Slow Mode ◽  
Magnetohydrodynamic Waves ◽  
Quartic Equation ◽  
Obliquely Incident

A general theory for coupling between MHD waves obliquely incident on a stratified medium is developed. Coupling between the Alfvtln mode and the magnetoacoustic mode (the fast mode for VA > cs and the slow mode for VA < cs) is affected little by the finiteness of Cs/VA for VA >> Cs and the coupling becomes weaker as Cs/VA is increased towards unity. Coupling between the fast and slow modes for VA ≈ C. is discussed qualitatively using solutions of the MHD counterpart of the Booker quartic equation.

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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