PMID: 11909028Mar 23, 2002Paper

Dynamic critical behavior of an extended reptation dynamics for self-avoiding walks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S CaraccioloAndrea Pelissetto

Abstract

We consider lattice self-avoiding walks and discuss the dynamic critical behavior of two dynamics that use local and bilocal moves and generalize the usual reptation dynamics. We determine the integrated and exponential autocorrelation times for several observables, perform a dynamic finite-size scaling study of the autocorrelation functions, and compute the associated dynamic critical exponents z. For the variables that describe the size of the walks, in the absence of interactions we find z approximately 2.2 in two dimensions and z approximately 2.1 in three dimensions. At the theta point in two dimensions we have z approximately 2.3.

References

May 19, 1994·Nature·A SaliM Karplus
Aug 3, 1987·Physical Review Letters·B Duplantier, H Saleur

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Citations

Apr 26, 2005·The Journal of Chemical Physics·Andrea Pelissetto, Jean-Pierre Hansen
Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Gherardi

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