Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diffusion Enhancement of Brownian Motors Revealed by a Solvable Model   A solvable model is proposed and analyzed to reveal the mechanism underlying
the diffusion enhancement recently reported for a model of molecular motors and
predicted to be observed in the biological rotary motor $\rm F_1$-ATPase. It
turns out that the diffusion enhancement for the present model can
approximately described by a random walk in which the waiting time for a step
to occur is exponentially distributed and it takes nonzero time to proceed
forward by the step. It is shown that the diffusion coefficient of such a
random walk can significantly be increased when the average waiting time is
comparable to the average stepping time.

10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat