Dynamic critical behavior of an extended reptation dynamics for self-avoiding walks.
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.
Caracciolo
Sergio
S
Dipartmento di Fisica dell'Università di Milano, I-20133 Milano, Sez. INFN di Pisa, and NEST-INFM, I-56100 Pisa, Italy. Sergio.Caracciolo@sns.it
Papinutto
Mauro
M
Pelissetto
Andrea
A