Dynamic critical exponent of the BFACF algorithm for self-avoiding walks |
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| Authors: | Sergio Caracciolo Andrea Pelissetto Alan D Sokal |
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| Institution: | (1) Scuola Normale Superiore and INFN-Sezione di Pisa, 56100 Pisa, Italy;(2) Department of Physics, Princeton University, 08544 Princeton, New Jersey;(3) Department of Physics, New York University, 10003 New York, New York |
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| Abstract: | We study the dynamic critical behavior of the BFACF algorithm for generating self-avoiding walks with variable length and fixed endpoints. We argue theoretically, and confirm by Monte Carlo simulations in dimensions 2, 3, and 4, that the autocorrelation time scales as
int,N
R~ 4R~ N>
4v
.This paper is dedicated to our friend and colleague Jerry Percus on the occasion of his 65th birthday. |
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| Keywords: | Self-avoiding walk polymer Monte Carlo BFACF algorithm dynamic critical exponent |
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