166 research outputs found
Universality of subleading exponents induced by one dimensional defects the case of self-avoiding walks
In this paper we offer some simple and quite general arguments which suggest
that the first subleading exponent does not depend on the set of
broken symmetries, but only on the dimensionality of the excluded region. An
explicit value for this exponent is conjectured. We reserve analytical and
numerical details to a forthcoming paper.Comment: 5 pages, presented at the International School of Physics "Enrico
Fermi", Varenna Course CXXXIV: The Physics of Complex System
High-precision determination of the critical exponent gamma for self-avoiding walks
We compute the exponent gamma for self-avoiding walks in three dimensions. We
get gamma = 1.1575 +- 0.0006 in agreement with renormalization-group
predictions. Earlier Monte Carlo and exact-enumeration determinations are now
seen to be biased by corrections to scaling.Comment: 8 page
Universality of subleading corrections for self-avoiding walks in presence of one dimensional defects
We study three-dimensional self-avoiding walks in presence of a
one-dimensional excluded region. We show the appearance of a universal
sub-leading exponent which is independent of the particular shape and
symmetries of the excluded region. A classical argument provides the estimate:
. The numerical simulation gives .Comment: 29 pages, latex2
Universal shape ratios for polymers grafted at a flat surface
We consider dilute non-adsorbed polymers grafted at an impenetrable surface
and compute several quantities which characterize the polymer shape: the
asphericity and the ratios of the eigenvalues of the radius-of-gyration tensor.
The results are only slightly different from those obtained for polymers in the
bulk, showing that the surface has little influence on the polymer shape.Comment: 10 pages, LaTe
End-to-end distribution function for dilute polymers
We study the end-to-end distribution function for dilute polymers. We present
a computation to order , , and discuss in
detail its asymptotic behaviour for small and large distances. The theoretical
predictions are compared with Monte Carlo results, finding good agreement.Comment: 37 pages, LaTeX2e with 3 postscript figures, version to be published
in Journal Of Chemical Physic
Bilocal Dynamics for Self-Avoiding Walks
We introduce several bilocal algorithms for lattice self-avoiding walks that
provide reasonable models for the physical kinetics of polymers in the absence
of hydrodynamic effects. We discuss their ergodicity in different confined
geometries, for instance in strips and in slabs. A short discussion of the
dynamical properties in the absence of interactions is given.Comment: 38 LaTeX2e pages with 9 postscript figure
Monte Carlo results for three-dimensional self-avoiding walks
We discuss possible sources of systematic errors in the computation of critical exponents by renormalization-group methods, extrapolations from exact enumerations and Monte Carlo simulations. A careful Monte Carlo determination of the susceptibility exponent gamma for three-dimensional self-avoiding walks has been used to test the claimed accuracy of the various methods
Ambrose Bierce em tradução: âAn Inhabitant of Carcosaâ
Tradução de: Roberto de Sousa Causo
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