Monte Carlo Renormalization Group for Entanglement Percolation

Details Monte Carlo Renormalization Group for Entanglement Percolation Monte Carlo Renormalization Group for Entanglement Percolation

2002-07-30

arxiv.org/abs/cond-mat/0207710v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

10.1016/S0378-4371(02)01593-5

We use a large cell Monte Carlo Renormalization procedure, to compute the critical exponents of a system of growing linear polymers. We simulate the growth of non-intersecting chains in large MC cells. Dense regions where chains get in each others' way, give rise to connected clusters under coarse graining. At each time step, the fraction of occupied bonds is determined in both the original and the coarse grained configurations, and averaged over many realizations. Our results for the fractal dimension on three dimensional lattices are consistent with the percolation value.

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