Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy-induced separation of star polymers in porous media   We present a quantitative picture of the separation of star polymers in a
solution where part of the volume is influenced by a porous medium. To this
end, we study the impact of long-range-correlated quenched disorder on the
entropy and scaling properties of $f$-arm star polymers in a good solvent. We
assume that the disorder is correlated on the polymer length scale with a
power-law decay of the pair correlation function $g(r) \sim r^{-a}$. Applying
the field-theoretical renormalization group approach we show in a double
expansion in $\epsilon=4-d$ and $\delta=4-a$ that there is a range of
correlation strengths $\delta$ for which the disorder changes the scaling
behavior of star polymers. In a second approach we calculate for fixed space
dimension $d=3$ and different values of the correlation parameter $a$ the
corresponding scaling exponents $\gamma_f$ that govern entropic effects. We
find that $\gamma_f-1$, the deviation of $\gamma_f$ from its mean field value
is amplified by the disorder once we increase $\delta$ beyond a threshold. The
consequences for a solution of diluted chain and star polymers of equal
molecular weight inside a porous medium are: star polymers exert a higher
osmotic pressure than chain polymers and in general higher branched star
polymers are expelled more strongly from the correlated porous medium.
Surprisingly, polymer chains will prefer a stronger correlated medium to a less
or uncorrelated medium of the same density while the opposite is the case for
star polymers.

28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph