scholarly journals Adsorption of Multiblock and Random Copolymer on a Solid Surface: Critical Behavior and Phase Diagram

2008 ◽  
Vol 41 (8) ◽  
pp. 2920-2930 ◽  
Author(s):  
S. Bhattacharya ◽  
H.-P. Hsu ◽  
A. Milchev ◽  
V. G. Rostiashvili ◽  
T. A. Vilgis
Keyword(s):  
Phase Diagram ◽  
Solid Surface ◽  
Critical Behavior ◽  
Random Copolymer ◽  
Surface Critical Behavior

scholarly journals Surface Critical Behavior of Two-Dimensional Dilute Ising Models

1997 ◽  
Vol 89 (5-6) ◽  
pp. 1079-1085 ◽  
Author(s):  
W. Selke ◽  
F. Szalma ◽  
P. Lajkó ◽  
F. Iglói
Keyword(s):  
Critical Behavior ◽  
Ising Models ◽  
Two Dimensional ◽  
Surface Critical Behavior

scholarly journals EFFECT OF FIELD DIRECTION AND FIELD INTENSITY ON DIRECTED SPIRAL PERCOLATION

2006 ◽  
Vol 17 (09) ◽  
pp. 1285-1302 ◽  
Author(s):  
SANTANU SINHA ◽  
S. B. SANTRA
Keyword(s):  
Phase Diagram ◽  
Critical Behavior ◽  
Disordered Systems ◽  
Universality Class ◽  
Two Dimensions ◽  
Percolation Model ◽  
Field Direction ◽  
Critical Properties ◽  
External Bias ◽  
Directional Field

Directed spiral percolation (DSP) is a new percolation model with crossed external bias fields. Since percolation is a model of disorder, the effect of external bias fields on the properties of disordered systems can be studied numerically using DSP. In DSP, the bias fields are an in-plane directional field (E) and a field of rotational nature (B) applied perpendicular to the plane of the lattice. The critical properties of DSP clusters are studied here varying the direction of E field and intensities of both E and B fields in two-dimensions. The system shows interesting and unusual critical behavior at the percolation threshold. Not only the DSP model is found to belong in a new universality class compared to that of other percolation models but also the universality class remains invariant under the variation of E field direction. Varying the intensities of the E and B fields, a crossover from DSP to other percolation models has been studied. A phase diagram of the percolation models is obtained as a function of intensities of the bias fields E and B.

scholarly journals Wavevector scaling, surface critical behavior, and wetting in the 2-d, 3-state chiral clock model

1987 ◽  
Vol 67 (3) ◽  
pp. 357-361 ◽  
Author(s):  
A. L. Stella ◽  
X. C. Xie ◽  
T. L. Einstein ◽  
N. C. Bartelt
Keyword(s):  
Critical Behavior ◽  
Clock Model ◽  
Surface Critical Behavior

scholarly journals MATRIX MODEL PERTURBED BY HIGHER ORDER CURVATURE TERMS

1992 ◽  
Vol 07 (33) ◽  
pp. 3081-3100 ◽  
Author(s):  
G.P. KORCHEMSKY
Keyword(s):  
Phase Diagram ◽  
Matrix Model ◽  
Critical Behavior ◽  
Intermediate Phase ◽  
Higher Order ◽  
Bosonic String ◽  
Branched Polymers ◽  
Nonlocal Term ◽  
Random Surfaces ◽  
The Third

The critical behavior of the D=0 matrix model with the potential perturbed by a nonlocal term generating touchings between random surfaces is studied. It is found that the phase diagram of the model has many features of the phase diagram of discretized Polyakov’s bosonic string with higher order curvature terms included. It contains the phase of smooth (Liouville) surfaces, the intermediate phase and the phase of branched polymers. The perturbation becomes irrelevant at the first phase and dominates at the third one.

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