Chain length dependence of the mean field temperature in poly(oxyethylene)–poly(oxybutylene) diblock copolymers

1999 ◽  
Vol 1 (9) ◽  
pp. 2093-2095 ◽  
Author(s):  
J Patrick A. Fairclough ◽  
Anthony J. Ryan ◽  
Simon Turner ◽  
Ian W. Hamley ◽  
Shaomin Mai ◽  
...  
Keyword(s):  
Chain Length ◽  
Diblock Copolymers ◽  
Mean Field ◽  
Length Dependence ◽  
Field Temperature ◽  
The Mean

Chain Length Dependence of Non-Surface Activity and Micellization Behavior of Cationic Amphiphilic Diblock Copolymers

Langmuir ◽  
2014 ◽  
Vol 30 (12) ◽  
pp. 3319-3328 ◽  
Author(s):  
Arjun Ghosh ◽  
Shin-ichi Yusa ◽  
Hideki Matsuoka ◽  
Yoshiyuki Saruwatari
Keyword(s):  
Chain Length ◽  
Surface Activity ◽  
Diblock Copolymers ◽  
Length Dependence ◽  
Amphiphilic Diblock Copolymers ◽  
Micellization Behavior

Classical Kinetic Theory

2018 ◽  
Author(s):  
Klaus Morawetz
Keyword(s):  
Kinetic Equation ◽  
Equation Of State ◽  
Mean Field ◽  
Ideal Gas ◽  
Hydrodynamic Equations ◽  
Free Particles ◽  
Internal Mechanism ◽  
The Mean ◽  
Energy Gains ◽  
Non Locality

The classical non-ideal gas shows that the two original concepts of the pressure based of the motion and the forces have eventually developed into drift and dissipation contributions. Collisions of realistic particles are nonlocal and non-instant. A collision delay characterizes the effective duration of collisions, and three displacements, describe its effective non-locality. Consequently, the scattering integral of kinetic equation is nonlocal and non-instant. The non-instant and nonlocal corrections to the scattering integral directly result in the virial corrections to the equation of state. The interaction of particles via long-range potential tails is approximated by a mean field which acts as an external field. The effect of the mean field on free particles is covered by the momentum drift. The effect of the mean field on the colliding pairs causes the momentum and the energy gains which enter the scattering integral and lead to an internal mechanism of energy conversion. The entropy production is shown and the nonequilibrium hydrodynamic equations are derived. Two concepts of quasiparticle, the spectral and the variational one, are explored with the help of the virial of forces.

Induced Smectic Phases I. Polymorphism in Binary Mixtures of Alkyloxybenzylidene-alkylanilines with Alkyl- and Alkyloxy- cyanobiphenyls

1981 ◽  
Vol 36 (1) ◽  
pp. 62-67 ◽  
Author(s):  
F. Schneider ◽  
N. K. Sharma
Keyword(s):  
Chain Length ◽  
Binary Mixtures ◽  
Transition Temperatures ◽  
Mean Values ◽  
Smectic Phases ◽  
The Mean ◽  
Induced Smectic Phases

The diagrams of state of mixtures of 4-n-alkyloxybenzylidene-4'-n-butylanilines with 4-n- alkyl- and 4-n-alkyloxy-4'-cyanobiphenyls are studied. The mixtures form induced smectic phases of type SA, SB and SE. In all three smectic phases the thickness of the smectic layers agrees with the mean values of the molecular lengths. In most cases the induced SA phases do not show uninterrupted miscibility with the SA phases of the pure components. For instance, the system 40 • 4/8 CBP exhibits three separate SA phase areas. The maximum transition temperatures of the induced smectic phases increase with increasing chain length of the azomethines, but remain constant in case of the SA and SB phases or even decrease in case of the SE phases with increasing chain length of the cyanobiphenyls

scholarly journals Evidence of exactness of the mean-field theory in the nonextensive regime of long-range classical spin models

2000 ◽  
Vol 61 (17) ◽  
pp. 11521-11528 ◽  
Author(s):  
Sergio A. Cannas ◽  
A. C. N. de Magalhães ◽  
Francisco A. Tamarit
Keyword(s):  
Field Theory ◽  
Long Range ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spin Models ◽  
Classical Spin ◽  
The Mean ◽  
Classical Spin Models

scholarly journals The Mean-field Behavior of Processor Sharing Systems with General Job Lengths Under the SQ(d) Policy

2019 ◽  
Vol 46 (3) ◽  
pp. 54-55
Author(s):  
Thirupathaiah Vasantam ◽  
Arpan Mukhopadhyay ◽  
Ravi R. Mazumdar
Keyword(s):  
Mean Field ◽  
Processor Sharing ◽  
Field Behavior ◽  
The Mean
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