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arXiv · cond-mat/0410055

Simulations of grafted polymers in a good solvent

Peter Grassberger
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Abstract

We present improved simulations of three-dimensional self avoiding walks with one end attached to an impenetrable surface on the simple cubic lattice. This surface can either be a-thermal, having thus only an entropic effect, or attractive. In the latter case we concentrate on the adsorption transition, We find clear evidence for the cross-over exponent to be smaller than 1/2, in contrast to all previous simulations but in agreement with a re-summed field theoretic $ε$-expansion. Since we use the pruned-enriched Rosenbluth method (PERM) which allows very precise estimates of the partition sum itself, we also obtain improved estimates for all entropic critical exponents.

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Peter Grassberger. 2004-12-01. Simulations of grafted polymers in a good solvent. https://doi.org/10.1088/0305-4470%2F38%2F2%2F003

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