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Münster 1999 – scientific programme

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DY: Dynamik und Statistische Physik

DY 20: POSTER I

DY 20.7: Poster

Tuesday, March 23, 1999, 09:30–13:00, F

Θ-point behavior of diluted polymer solutions: can one observe the universal logarithmic corrections predicted by field theory? — •Johannes Hager and Lothar Schäfer — Universität-Gesamthochschule-Essen, 45117 Essen, Germany

In recent large scale Monte-Carlo simulations of various models of Θ-point polymers in three dimensions Grassberger and Hegger [1] found logarithmic corrections to mean field theory with amplitudes much larger than the universal amplitudes of the leading logarithmic corrections calculated by Duplantier [2] in the framework of tricritical O(n) field theory. To resolve this issue we calculate the universal sub leading correction of field theory, which turns out to be of the same magnitude as the leading correction for all chain lengths available in present days simulations. Furthermore we present results of Monte-Carlo simulations on a Domb-Joyce like model of weakly interacting random walks, which show much smaller corrections than [1], indicating that the effective corrections of [1] are not yet in the asymptotic regime. All together our findings show that the existing simulations of Θ-polymers can be explained within the framework of tricritical field theory invoking a very slow crossover to the asymptotic regime as was found earlier for self avoiding walks at their upper critical dimension dc=4.
[1] P. Grassberger, Phys. Rev. E 56 , 3682, (1997)
[2] B. Duplantier, J. Chem. Phys. 30, 4233, (1987)

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