‘Monte carlo’ computer simulation of chain molecules: II. The limiting distribution of end-to-end distance for two-dimensional excluded-volume chains

1971 ◽  
Vol 3 (5) ◽  
pp. 240-243
Author(s):  
M. Lal
Keyword(s):  
Computer Simulation ◽  
Monte Carlo ◽  
Limiting Distribution ◽  
Excluded Volume ◽  
Two Dimensional ◽  
Chain Molecules ◽  
Monte Carlo Computer Simulation ◽  
End Distance ◽  
End To End

Equjlubrium Topologies of Associatxng Polymers

1991 ◽  
Vol 248 ◽  
Author(s):  
Arlette R. C. Baljon ◽  
Thomas A. Witten
Keyword(s):  
Molecular Weight ◽  
Computer Simulation ◽  
Monte Carlo ◽  
Chain Length ◽  
Excluded Volume ◽  
Topological Constraints ◽  
Monte Carlo Computer Simulation ◽  
Geometrical Constraints ◽  
Polymer Interactions ◽  
Associating Polymer

AbstractWe have developed a Monte-Carlo computer simulation to study associating polymer interactions. In our model we treat the associations as geometrical constraints. Each polymer chain contains two‘stickers’. The chains are treated as lattice selfavoiding random walks. Each sticker is constrained to be adjacent to one other sticker, but the stickers are free to exchange partners. This freedom to exchange results in an attraction between the chains, as anticipated by Cates and Witten.1 We find that in equilibrium the mutual excluded volume of two such chains passes from repulsive to attractive when the ratio of the sticker distance to the chain length is approximately 0.8. These results are independent of the chain length: they should apply to real polymers subject to these topological constraints in any good solvent at sufficiently high molecular weight.

Zero-Shrinkage Whisker Fraction in Ceramic Matrix-Ceramic Whisker Composites

1989 ◽  
Vol 155 ◽  
Author(s):  
Elizabeth A. Holm ◽  
M. J. Cima
Keyword(s):  
Computer Simulation ◽  
Monte Carlo ◽  
Three Dimensional ◽  
Ceramic Matrix ◽  
Ceramic Particle ◽  
Soft Core ◽  
Excluded Volume ◽  
Monte Carlo Computer Simulation ◽  
Aspect Ratios ◽  
Percolation Thresholds

ABSTRACTA Monte Carlo computer simulation that percolates soft-core, pseudographic whiskers in a discrete matrix has been developed, and two- and three-dimensional whisker percolation thresholds were determined for various whisker aspect ratios. The percolation thresholds were found to agree with the predictions of the excluded volume theory of percolation; moreover, the thresholds were found to coincide with the zero-shrinkage whisker fraction in ceramic matrix-ceramic particle composites.

Monte Carlo computer simulation of small clusters of methane, ethane, and their mixture

1997 ◽  
Vol 106 (4) ◽  
pp. 1593-1599 ◽  
Author(s):  
Aleksey Vishnyakov ◽  
Elena M. Piotrovskaya ◽  
Elena N. Brodskaya
Keyword(s):  
Computer Simulation ◽  
Monte Carlo ◽  
Monte Carlo Computer Simulation ◽  
Small Clusters
Sign in / Sign up

Export Citation Format

Share Document