Monte Carlo study of ring formation during step-growth polymerization in two dimensions

1989 ◽  
Vol 22 (12) ◽  
pp. 4536-4539 ◽  
Author(s):  
Allan H. Fawcett ◽  
Frederick V. McBride ◽  
Jeffrey Rutherford
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensions ◽  
Ring Formation ◽  
Step Growth ◽  
Step Growth Polymerization

A Monte-Carlo Study of Ring Formation and Molecular Configurations during Step Growth on a Lattice in Three Dimensions

1995 ◽  
Vol 28 (5) ◽  
pp. 1481-1490 ◽  
Author(s):  
Allan H. Fawcett ◽  
Richard A. W. Mee ◽  
Frederick V. McBride
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Ring Formation ◽  
Three Dimensions ◽  
Step Growth

Symmetry analysis and Monte Carlo study of a frustrated antiferromagnetic planar (XY) model in two dimensions

1986 ◽  
Vol 33 (1) ◽  
pp. 450-475 ◽  
Author(s):  
D. H. Lee ◽  
J. D. Joannopoulos ◽  
J. W. Negele ◽  
D. P. Landau
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensions ◽  
Symmetry Analysis ◽  
Xy Model

Adsorbing trees in two dimensions: A Monte Carlo study

2001 ◽  
Vol 64 (4) ◽  
Author(s):  
S. You ◽  
E. J. Janse van Rensburg
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensions

scholarly journals Diffusion Monte Carlo Study of Electrons in Two-dimensional Layers

1996 ◽  
Vol 49 (1) ◽  
pp. 161 ◽  
Author(s):  
Francesco Rapisarda ◽  
Gaetano Senatore
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Diffusion Monte Carlo ◽  
Intermediate Coupling ◽  
Particle Spacing ◽  
Large Coupling ◽  
Liquid Phases ◽  
Fixed Node

We investigate the phase diagram of electrons in two dimensions at T = 0 by means of accurate diffusion Monte Carlo simulations within the fixed-node approximation. At variance with previous studies, we find that in an isolated layer Slater-Jastrow nodes yield stability of the fully polarised fluid at intermediate coupling, before freezing into a triangular crystal sets in. We have also studied coupled layers of electrons and of electrons and holes. Preliminary results show that at large coupling, as two layers are brought together from infinity, inter-layer correlation first stabilises the crystalline phase at distances of the order of the in-plane inter-particle spacing. As the distance is further decreased the effect of correlation, as expected, turns into an enhanced screening, which disrupts the crystalline order in favour of liquid phases.

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