Orientational ordering in two-dimensional polymer solutions: Monte Carlo simulations of a bond fluctuation model

1990 ◽  
Vol 23 (19) ◽  
pp. 4327-4335 ◽  
Author(s):  
Antonio Lopez Rodriguez ◽  
Hans Peter Wittmann ◽  
Kurt Binder
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Polymer Solutions ◽  
Two Dimensional ◽  
Orientational Ordering ◽  
Bond Fluctuation ◽  
Fluctuation Model

scholarly journals The Persistence Length of Semiflexible Polymers in Lattice Monte Carlo Simulations

Polymers ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 295 ◽  
Author(s):  
Jing-Zi Zhang ◽  
Xiang-Yao Peng ◽  
Shan Liu ◽  
Bang-Ping Jiang ◽  
Shi-Chen Ji ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Persistence Length ◽  
Semiflexible Polymers ◽  
Lattice Monte Carlo ◽  
Chain Stiffness ◽  
Theoretical Predictions ◽  
Bond Fluctuation ◽  
The Relationship ◽  
Fluctuation Model

While applying computer simulations to study semiflexible polymers, it is a primary task to determine the persistence length that characterizes the chain stiffness. One frequently asked question concerns the relationship between persistence length and the bending constant of applied bending potential. In this paper, theoretical persistence lengths of polymers with two different bending potentials were analyzed and examined by using lattice Monte Carlo simulations. We found that the persistence length was consistent with theoretical predictions only in bond fluctuation model with cosine squared angle potential. The reason for this is that the theoretical persistence length is calculated according to a continuous bond angle, which is discrete in lattice simulations. In lattice simulations, the theoretical persistence length is larger than that in continuous simulations.

Percolation in two-dimensional quasicrystals by Monte Carlo simulations

1989 ◽  
Vol 22 (14) ◽  
pp. L705-L709 ◽  
Author(s):  
S Sakamoto ◽  
F Yonezawa ◽  
K Aoki ◽  
S Nose ◽  
M Hori
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Two Dimensional

Equilibrium and nonequilibrium models on solomon networks with two square lattices

2017 ◽  
Vol 28 (08) ◽  
pp. 1750099
Author(s):  
F. W. S. Lima
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Critical Exponent ◽  
Critical Points ◽  
Majority Vote ◽  
Universality Class ◽  
2D Systems ◽  
Two Dimensional ◽  
Critical Properties ◽  
Regular Lattices

We investigate the critical properties of the equilibrium and nonequilibrium two-dimensional (2D) systems on Solomon networks with both nearest and random neighbors. The equilibrium and nonequilibrium 2D systems studied here by Monte Carlo simulations are the Ising and Majority-vote 2D models, respectively. We calculate the critical points as well as the critical exponent ratios [Formula: see text], [Formula: see text], and [Formula: see text]. We find that numerically both systems present the same exponents on Solomon networks (2D) and are of different universality class than the regular 2D ferromagnetic model. Our results are in agreement with the Grinstein criterion for models with up and down symmetry on regular lattices.

Sign in / Sign up

Export Citation Format

Share Document