Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High-precision estimate of the hydrodynamic radius for self-avoiding
  walks   The universal asymptotic amplitude ratio between the gyration radius and the
hydrodynamic radius of self-avoiding walks is estimated by high-resolution
Monte Carlo simulations. By studying chains of length of up to $N = 2^{25}
\approx 34 \times 10^6$ monomers, we find that the ratio takes the value
$R_{\mathrm{G}}/R_{\mathrm{H}} = 1.5803940(45)$, which is several orders of
magnitude more accurate than the previous state of the art. This is facilitated
by a sampling scheme which is quite general, and which allows for the efficient
estimation of averages of a large class of observables. The competing
corrections to scaling for the hydrodynamic radius are clearly discernible. We
also find improved estimates for other universal properties that measure the
chain dimension. In particular, a method of analysis which eliminates the
leading correction to scaling results in a highly accurate estimate for the
Flory exponent of $\nu = 0.58759700(40)$.

35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
17
The categories of this paper are: q-fin