We consider three-dimensional self-avoiding walks. We compute the exponent gamma that controls the asymptotic behavior of the number of walks going from the origin to any lattice point in N steps. We get gamma = 1.1575+/-0.0006 in agreement with renormalization-group predictions. Earlier Monte Carlo and exact-enumeration determinations are now seen to be biased by corrections to scaling. [S1063-651X(98)50202-4].

High-precision determination of the critical exponent gamma for self-avoiding walks / S., Caracciolo; M. S., Causo; Pelissetto, Andrea. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - STAMPA. - 57:(1998), pp. R1215-R1218. [10.1103/physreve.57.r1215]

High-precision determination of the critical exponent gamma for self-avoiding walks

PELISSETTO, Andrea
1998

Abstract

We consider three-dimensional self-avoiding walks. We compute the exponent gamma that controls the asymptotic behavior of the number of walks going from the origin to any lattice point in N steps. We get gamma = 1.1575+/-0.0006 in agreement with renormalization-group predictions. Earlier Monte Carlo and exact-enumeration determinations are now seen to be biased by corrections to scaling. [S1063-651X(98)50202-4].
1998
01 Pubblicazione su rivista::01a Articolo in rivista
High-precision determination of the critical exponent gamma for self-avoiding walks / S., Caracciolo; M. S., Causo; Pelissetto, Andrea. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - STAMPA. - 57:(1998), pp. R1215-R1218. [10.1103/physreve.57.r1215]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/246832
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