The radius exponent of two- and three-dimensional self-avoiding walks and branched polymers are computed in the fixed-scale transformation framework. The method requires the knowledge of the critical fugacity kc, but from this non-universal parameter it is possible to compute the universal critical exponent. The results obtained are within 1% of exact or numerical values. This confirms the versatility and quantitative power of this new theoretical approach and gives the opportunity to provide a discussion of the analogies and differences between the real space renormalization group and the fixed-scale transformation method.
Fixec Scale Trasformation Approach to Linear and Branched Polymers / DI STASIO, M.; Pietronero, Luciano; Stella, A.; Vespignani, A.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 27 (2):(1994), pp. 317-326. [https://doi.org/10.1088/0305-4470/27/2/016]
Fixec Scale Trasformation Approach to Linear and Branched Polymers
PIETRONERO, Luciano
Writing – Original Draft Preparation
;
1994
Abstract
The radius exponent of two- and three-dimensional self-avoiding walks and branched polymers are computed in the fixed-scale transformation framework. The method requires the knowledge of the critical fugacity kc, but from this non-universal parameter it is possible to compute the universal critical exponent. The results obtained are within 1% of exact or numerical values. This confirms the versatility and quantitative power of this new theoretical approach and gives the opportunity to provide a discussion of the analogies and differences between the real space renormalization group and the fixed-scale transformation method.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
