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A simple estimate of the polymer theta‐point on different lattices
Author(s) -
Barat Krishna
Publication year - 1993
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.1993.040020502
Subject(s) - simple (philosophy) , simple cubic lattice , lattice (music) , statistical physics , self avoiding walk , point (geometry) , mathematics , constant (computer programming) , random walk , physics , statistics , monte carlo method , computer science , geometry , philosophy , epistemology , acoustics , programming language
We check here numerically and establish the validity of a simple estimate for the polymer theta‐point on various pure and diluted lattices. Our study on two‐dimensional lattices supports a linear relationship of the θ‐point value with the average number Z eff of non‐bonded (nearest) neighbours on a random self‐avoiding walk (SAW). This Z eff in turn can be estimated from the connectivity constant μ of SAWs of the corresponding lattice.