Prediction of the critical micelle concentration in a lattice model for amphiphiles using a single-chain mean-field theory

2005 ◽  
Vol 122 (10) ◽  
pp. 104910 ◽  
Author(s):  
Zaid A. Al-Anber ◽  
Josep Bonet Avalos ◽  
Allan D. Mackie
Keyword(s):  
Field Theory ◽  
Critical Micelle Concentration ◽  
Lattice Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Single Chain

scholarly journals Single Chain Mean-Field Theory Study on Responsive Behavior of Semiflexible Polymer Brush

Materials ◽  
2021 ◽  
Vol 14 (4) ◽  
pp. 778
Author(s):  
Yingli Niu ◽  
Xiangyu Bu ◽  
Xinghua Zhang
Keyword(s):  
Field Theory ◽  
Message Passing Interface ◽  
Mean Field Theory ◽  
Mean Field ◽  
Algorithmic Complexity ◽  
Ensemble Average ◽  
Single Chain ◽  
Metropolis Monte Carlo ◽  
Rigid Rod ◽  
Chain Conformations

The application of single chain mean-field theory (SCMFT) on semiflexible chain brushes is reviewed. The worm-like chain (WLC) model is the best mode of semiflexible chain that can continuously recover to the rigid rod model and Gaussian chain (GC) model in rigid and flexible limits, respectively. Compared with the commonly used GC model, SCMFT is more applicable to the WLC model because the algorithmic complexity of the WLC model is much higher than that of the GC model in self-consistent field theory (SCFT). On the contrary, the algorithmic complexity of both models in SCMFT are comparable. In SCMFT, the ensemble average of quantities is obtained by sampling the conformations of a single chain or multi-chains in the external auxiliary field instead of solving the modified diffuse equation (MDE) in SCFT. The precision of this calculation is controlled by the number of bonds Nm used to discretize the chain contour length L and the number of conformations M used in the ensemble average. The latter factor can be well controlled by metropolis Monte Carlo simulation. This approach can be easily generalized to solve problems with complex boundary conditions or in high-dimensional systems, which were once nightmares when solving MDEs in SCFT. Moreover, the calculations in SCMFT mainly relate to the assemble averages of chain conformations, for which a portion of conformations can be performed parallel on different computing cores using a message-passing interface (MPI).

Development of an Importance Sampling Single Chain Mean Field Theory for Polymer Adsorption onto a Flat Wall

2004 ◽  
Vol 37 (3) ◽  
pp. 1124-1133 ◽  
Author(s):  
Josep Bonet Avalos ◽  
Allan D. Mackie ◽  
Silvia Díez-Orrite
Keyword(s):  
Field Theory ◽  
Importance Sampling ◽  
Mean Field Theory ◽  
Mean Field ◽  
Polymer Adsorption ◽  
Single Chain ◽  
Flat Wall

VORTICES IN THE LATTICE MODEL OF PLANAR NEMATIC

1991 ◽  
Vol 05 (04) ◽  
pp. 647-657 ◽  
Author(s):  
D.V. KHVESHCHENKO ◽  
YA. I. KOGAN ◽  
S.K. NECHAEV
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Strong Coupling ◽  
Lattice Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Strong Coupling Expansion ◽  
Theoretical Description ◽  
New Type

The vortices in the planar nematic are investigated using a field-theoretical description in terms of RP2 σ-model. In the limit of strong-coupling expansion the vortices interaction considered in the framework of mean-field theory describes a new type of phase transition.

Sign in / Sign up

Export Citation Format

Share Document