Lattice model of equilibrium polymerization. V. Scattering properties and the width of the critical regime for phase separation

2006 ◽  
Vol 124 (14) ◽  
pp. 144906 ◽  
Author(s):  
Kyunil Rah ◽  
Karl F. Freed ◽  
Jacek Dudowicz ◽  
Jack F. Douglas
Keyword(s):  
Phase Separation ◽  
Lattice Model ◽  
Critical Regime ◽  
Equilibrium Polymerization

scholarly journals Correction to “A Lattice Model of Charge-Pattern-Dependent Polyampholyte Phase Separation”

2018 ◽  
Vol 122 (33) ◽  
pp. 8111-8111 ◽  
Author(s):  
Suman Das ◽  
Adam Eisen ◽  
Yi-Hsuan Lin ◽  
Hue Sun Chan
Keyword(s):  
Phase Separation ◽  
Lattice Model

scholarly journals Phase separation in a lattice model of a superconductor with pair hopping

2012 ◽  
Vol 24 (21) ◽  
pp. 215601 ◽  
Author(s):  
Konrad Kapcia ◽  
Stanisław Robaszkiewicz ◽  
Roman Micnas
Keyword(s):  
Phase Separation ◽  
Lattice Model ◽  
Pair Hopping

scholarly journals Normal Helium 3: A Mott–Stoner Liquid

1997 ◽  
Vol 11 (21n22) ◽  
pp. 913-922 ◽  
Author(s):  
Antoine Georges ◽  
Laurent Laloux
Keyword(s):  
High Pressure ◽  
Lattice Model ◽  
Spin Fluctuations ◽  
Critical Regime ◽  
Metamagnetic Transition ◽  
Spin Correlations ◽  
Physical Picture ◽  
Field Dependent ◽  
Helium 3 ◽  
Qualitative Picture

A qualitative picture of normal 3 He is proposed, which brings together the concept of an "almost localized" liquid and the existence of ferromagnetic spin correlations. The range of these correlations is shorter than in paramagnon theory, and the spin fluctuations are never in the critical regime within our approach, even at high pressure. A lattice model is introduced, which illustrates this physical picture. We also demonstrate that a metamagnetic transition in the field-dependent magnetization is not a necessary consequence of a quasilocalized picture.

Characterising the disordered state of block copolymers: Bifurcations of localised states and self-replication dynamics

2011 ◽  
Vol 23 (2) ◽  
pp. 315-341 ◽  
Author(s):  
KARL B. GLASNER
Keyword(s):  
Phase Separation ◽  
Block Copolymers ◽  
Bifurcation Diagram ◽  
Density Functional ◽  
Functional Model ◽  
Critical Regime ◽  
Heterogeneous Structure ◽  
Localised States ◽  
Pattern Forming ◽  
Self Replication

Above the spinodal temperature for micro-phase separation in block co-polymers, asymmetric mixtures can exhibit random heterogeneous structure. This behaviour is similar to the sub-critical regime of many pattern-forming models. In particular, there is a rich set of localised patterns and associated dynamics. This paper clarifies the nature of the bifurcation diagram of localised solutions in a density functional model of A−B diblock mixtures. The existence of saddle-node bifurcations is described, which explains both the threshold for heterogeneous disordered behaviour as well the onset of pattern propagation. A procedure to generate more complex equilibria by attaching individual structures leads to an interwoven set of solution curves. This results in a global description of the bifurcation diagram from which dynamics, in particular self-replication behaviour, can be explained.

scholarly journals A Lattice Model of Charge-Pattern-Dependent Polyampholyte Phase Separation

2018 ◽  
Vol 122 (21) ◽  
pp. 5418-5431 ◽  
Author(s):  
Suman Das ◽  
Adam Eisen ◽  
Yi-Hsuan Lin ◽  
Hue Sun Chan
Keyword(s):  
Phase Separation ◽  
Lattice Model

Modelling Microstructiure in Materials that Contain Anisotropic Particles

1989 ◽  
Vol 175 ◽  
Author(s):  
Christopher Viney ◽  
Larry A. Chick
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Phase Separation ◽  
Thermodynamic Analysis ◽  
Crystalline Phase ◽  
Lattice Model ◽  
Liquid Crystalline ◽  
Anisotropic Particles ◽  
Starting Point ◽  
Evolution Of Microstructure

AbstractThe spontaneous alignment of molecules in liquid crystalline solutions is characteristic of other materials that contain rodlike particles. We are developing a model to predict the evolution of microstructure in these systems. Its starting point is Flory's thermodynamic analysis of liquid crystalline phase separation. Our preferred method dispenses with the traditional lattice model in favor of a Monte Carlo simulation to calculate entropy. Some advantages and consequences of our approach are explored in this paper

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