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Corrections to scaling in multicomponent polymer solutions

Andrea Pelissetto^*

Ettore Vicari^†

Dipartimento di Fisica and INFN—Sezione di Roma I, Università degli Studi di Roma “La Sapienza,” Piazzale Moro 2, I-00185 Roma, Italy

Dipartimento di Fisica and INFN—Sezione di Pisa, Università degli Studi di Pisa, Largo Pontecorvo 2, I-56127 Pisa, Italy

^*Electronic address: andrea.pelissetto@roma1.infn.it
^†Electronic address: ettore.vicari@df.unipi.it

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Phys. Rev. E 73, 051802 – Published 17 May, 2006

DOI: https://doi.org/10.1103/PhysRevE.73.051802

Abstract

We calculate the correction-to-scaling exponent $ω_{T}$ that characterizes the approach to the scaling limit in multicomponent polymer solutions. A direct Monte Carlo determination of $ω_{T}$ in a system of interacting self-avoiding walks gives $ω_{T} = 0.415 \pm 0.020$ . A field-theory analysis based on five- and six-loop perturbative series leads to $ω_{T} = 0.41 \pm 0.04$ . We also verify the renormalization-group predictions for the scaling behavior close to the ideal-mixing point.

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References (32)

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A precise estimate of $ω - ω_{T}$ can be obtained by writing it as $ω ∕ 2 - ζ$ . Using the estimate of Ref. [7] for $ω$ and the estimate of $ζ$ reported in Sec. II we find $ω - ω_{T} = 0.447 \pm 0.025$ .
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Corrections to scaling in multicomponent polymer solutions

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