ISSN:
1572-9613
Schlagwort(e):
Monte Carlo simulation
;
polymer
;
star polymer
;
polymer network
;
self-avoiding walk
;
two dimensions
;
critical exponent
;
surface adsorption
;
radial distribution function
;
total number of configurations
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Physik
Notizen:
Abstract A Monte Carlo technique is proposed for the simulation of statistical properties of many-arm star polymers on lattices. In this vectorizing algorithm, the length of each arml is increased by one, step by step, from a starting configuration withl=1 orl=2 which is generated directly. This procedure is carried out for a large sample (e.g., 100,000 configurations). As an application, we have studied self-avoiding stars on the square lattice with arm lengths up tol max=125 and up tof=20 arms, both in the bulk and in the geometry where the center of the star is adsorbed on a repulsive surface. The total number of configurations, which behaves asN∼l γ G–1μ fl , whereμ=2.6386 is the usual effective coordination number for self-avoiding walks on the square lattice, is analyzed, and the resulting exponentsγ G=γ(f) andγ s (f) for the bulk and surface geometries are found to be compatible with predictions of Duplantier and Saleur based on conformai invariance methods. We also obtain distribution functions for the monomer density and the distance of the end of an arm from its center. The results are consistent with a scaling theory developed by us.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01048315
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