TY - JOUR
T1 - Two-dimensional polymers
T2 - Universality and correction to scaling
AU - Rapaport, D. C.
PY - 1985
Y1 - 1985
N2 - Improved Monte Carlo methods have been used to study the asymptotic behaviour of self-avoiding walks on two-dimensional lattices. The mean-square end-to-end distance RN2 and radius of gyration S N2 are both found to scale as N2v with exponent values very close to the expected v=3/4 and an amplitude ratio that is universal. Small-N deviations of RN2 from the asymptotic results indicate a correction to scaling exponent Delta =1, a value that differs from previous estimates.
AB - Improved Monte Carlo methods have been used to study the asymptotic behaviour of self-avoiding walks on two-dimensional lattices. The mean-square end-to-end distance RN2 and radius of gyration S N2 are both found to scale as N2v with exponent values very close to the expected v=3/4 and an amplitude ratio that is universal. Small-N deviations of RN2 from the asymptotic results indicate a correction to scaling exponent Delta =1, a value that differs from previous estimates.
UR - http://www.scopus.com/inward/record.url?scp=0347684617&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/18/1/007
DO - 10.1088/0305-4470/18/1/007
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AN - SCOPUS:0347684617
SN - 0305-4470
VL - 18
SP - L39-L42
JO - Journal of Physics A: General Physics
JF - Journal of Physics A: General Physics
IS - 1
M1 - 007
ER -